Path sentence example

path
  • Sofi says his path is dark.
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  • Every path but your own is the path of fate.
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  • From the window of his office, the path was clearly visible.
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  • Not even a path had existed here when she lived in the area five years ago.
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  • They rode across the pasture and entered a path through the forest.
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  • Waiting until Yancey disappeared down the path, she walked over to the desk.
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  • Her gaze wandered to the path to the building.
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  • He was walking down the path, back to the building.
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  • This detachment halted at the outskirts of a forest, on the path leading from the village of Stromilova to Dmitrovsk.
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  • What was down that path that no one wanted to talk about, and why did Giddon insist that his houseguest should not wander around alone?
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  • She waited for him to get a little way down the path before she slipped from her hiding place and went to the door.
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  • Near the end of May, the sand cherry (Cerasus pumila) adorned the sides of the path with its delicate flowers arranged in umbels cylindrically about its short stems, which last, in the fall, weighed down with good-sized and handsome cherries, fell over in wreaths like rays on every side.
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  • No one was around, so she decided to explore the path.
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  • The familiar path down the coastline passed the Cliffs of Moher and continued for a short distance.
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  • He gave only a glance up the path to the mine before returning to his Jeep.
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  • The tourists were left below and Dean was alone save the sounds of nature on the rocky rutted path as his Jeep's tires clawed upward.
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  • Had his actions truly set her on this path to end up as the plaything of a creature with no capacity for mercy?
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  • Don't start down that path.
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  • He lifted his arm to guide her ahead of him as the path narrowed.
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  • The night he slept with her and condemned her to walk the path that led her to Hell.
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  • Our path won't be easy, but we didn't spend thousands of years trying to be together not to take the chance we have now.
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  • In years long gone it was the rail bed for the line that ran to terminus in Ouray and now a favorite path for bikers.
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  • We're trying to figure out which path she took.
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  • You will kill any demon or Immortal in your path.
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  • Darian saw and altered their path.
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  • It is approached by a zigzag path at the side of the cliff, from which a flight of stone xxvII.
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  • This path led to the barn.
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  • From the back porch came the sound of feet descending the steps, the bottom step upon which snow had fallen gave a ringing creak and he heard the voice of an old maidservant saying, Straight, straight, along the path, Miss.
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  • Whatever he tried to be, whatever he engaged in, the evil and falsehood of it repulsed him and blocked every path of activity.
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  • Can I never...? and, blocking her path, he brought his face close to hers.
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  • With the same feeling with which he had galloped across the path of a wolf, Rostov gave rein to his Donets horse and galloped to intersect the path of the dragoons' disordered lines.
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  • The Emperor entered the hall through a broad path between two lines of nobles.
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  • Princess Mary ran out to the porch, down the flower-bordered path, and into the avenue.
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  • But Napoleon came and swept him aside, unconscious of his existence, as he might brush a chip from his path, and his Bald Hills and his whole life fell to pieces.
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  • The peasants, adjusting the stretcher to their shoulders, started hurriedly along the path they had trodden down, to the dressing station.
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  • As he was going along a foot path across a wide- open space adjoining the Povarskoy on one side and the gardens of Prince Gruzinski's house on the other, Pierre suddenly heard the desperate weeping of a woman close to him.
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  • In another form but along the same path of reflection the other sciences have proceeded.
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  • Lisa stared after him; unsure which was more intriguing, the man or the path.
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  • A few bold pigeons strolled by, looking for a handout but they waddled on down the path.
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  • Lydia walked away from him, down the path to the beginning of the trail that led back to an area known as the Big Blue Wilderness.
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  • Dean's heart began to race as he caught sight of Cynthia and Martha at the edge of the rocks near the edge of the path leading to the entrance of the Lucky Pup.
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  • Deidre followed, surprised then angry when people jostled her instead of moving from her path.
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  • Deidre stepped forward to take it, and they began walking down the path.
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  • If the Dark One can't feed, he's going to massacre everyone in his path.
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  • Deidre took the first step down the path of their future when she told him her secrets.
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  • The future would undoubtedly throw more obstacles in their path, but they would tackle them as a family now.
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  • He hadn't expected anything different when he met the reincarnated Deidre a few years ago and started down this path.
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  • Sometimes, you need to acknowledge the path at your feet and just go with it.
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  • Every chain of events starts with one push, a catalyst, the perfect mix of different elements that craft a path and make an outcome more likely.
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  • From somewhere nearby, she heard someone else's phone ringing and stepped out of the way, off the path running along the beach.
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  • I think that special path is what you encountered this weekend.
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  • As soon as I start down that path, I'm … He raised an eyebrow.
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  • Orienting herself, she caught sight of the green haze again and walked along the edge of the forest, seeking a path.
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  • Deidre listened to their rustling and distant cries and focused on placing her feet along the path.
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  • The path towards the lost souls was anything but direct.
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  • She spotted the place down the path, a point overlooking the valley.
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  • You've taken the first step on a very long path.
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  • Rhyn will kill everyone in his path.
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  • She followed what she thought was the path Ully had brought her on and found her way to the women's barracks.
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  • Despite his monstrous habits of shredding anything in his path, he had a sense of honor more deeply ingrained than she'd ever suspected.
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  • Their path dead-ended at a large wooden door.
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  • He walked a familiar path to a graveyard so old, not even legends remained about its location or the importance of those buried there.
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  • At Kris.s angry response, Rhyn shoved his brother out of his path.
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  • He walked up the beach and into the shrubs, finding a path that led to a small village of red cottages.
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  • It was after his adrenaline tapered off that he smelled blood, and he trotted down a path in the direction of the scent.
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  • Before she could respond, Kris strode from the doorway down the path, stopping in front of the two approaching.
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  • Kris greeted Gio, stepping aside to walk them up the path.
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  • Hannah had been a kept woman with no problems since meeting Gio, whereas Katie had always struggled to find her path.
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  • He purposely didn.t think of her, even though she was the reason he.d chosen this path.
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  • Romas and Evelyn were already several dozen feet down the flowered path.
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  • He owed them nothing after his mission, which cleared a path for him to do what he must to regain his throne.
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  • His every look was penetrating, as if he sought to capture her thoughts whenever she crossed his path.
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  • They stepped into the cooler house, and her attention was caught by Talal, who froze in mid-stride along her path toward the northern wing.
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  • Two moons rose, and the four warriors around her kept to a path only they understood.
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  • The men ignored the signs of war, instead keeping to a quick pace along their path.
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  • They continued up a winding path toward the top of the lowest of the mountains.
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  • They were forced to slow their pace when the trail became covered with slippery shale and the path grew steeper.
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  • You will follow this path that leads around the hill back toward the encampment.
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  • He gave her a small push toward the path, and she looked down, squinting in the moonlight to see the darkened trail.
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  • Heart pounding, she trotted down the sloping trail, glancing nervously at the hill to make sure she didn't suddenly fall off her path.
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  • Suddenly, a dark form launched itself from behind a group of boulders onto her path.
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  • Three figures emerged to block her path.
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  • The path to the bottom was unguarded.
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  • The door closed behind them as he strode through the lighted, vacant halls, following a familiar path on the way to the chamber.
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  • Moisture clung to her skin as she started down the familiar path to Lover's Lane.
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  • After clamping on their skies and hoisting day-packs, they set out on the groomed path.
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  • There were a number of different routes, but the Deans chose the two-mile town site loop, a nearly flat path that first traversed a scented pine forest and then opened to a spectacular view of the surrounding mountains.
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  • Donald Ryland led the troupe down the path on the west side of the river.
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  • All were out of sight below except for Mick and Penny who were just now scrambling up to the path.
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  • Donnie remained with his father and his new found ice climbing friends while Dean took his wife's hand and strolled further down the snow covered path, away from the edge.
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  • While the snow was deeper here and the path less traveled, the walking was not difficult.
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  • Dean wandered up the penstock trail, the path he and Cynthia followed earlier, where Donald Ryland had climbed.
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  • It was peaceful on the path, in spite of the snow and increased inconvenience of trudging in its depth.
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  • Once beyond access to the river below, the seldom-used path presented an unbroken cover of fresh white, now blanketed in more than a foot of fresh powder, as it followed the large pipe toward the reservoir.
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  • I hiked up the path, all the way to the reservoir.
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  • The location was somewhat isolated from the rest of the path and climbing area.
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  • He took one last look and started back down the path.
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  • Dean supposed this was his idea of being subtle while trying to cut off the open path.
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  • From what he could see from the roadway bridge the upper path was empty.
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  • Dean wished he'd taken time to dress more warmly as he hurried down the penstock path toward where Shipton's severed line had been tethered.
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  • Once off the walkway, Dean ran down the path until he spotted a pile of equipment and what had been described as fixed belay.
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  • Dean again looked down the path but no help was in sight.
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  • The retreating blonde woman's rope and crampons lay discarded at the edge of the path, the bag from their recent purchase crumpled nearby.
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  • He tried to move laterally, away to his right, but the gnarled branches of a now-dead bush blocked his path.
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  • He recalled none of this, nor his damaged body being placed on a litter at the narrow edge of the cascading water and lifted upward from the depth of the inaccessible gorge to the penstock path above.
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  • Walking a path that led to the pond, he found the distinct smell of human.
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  • They walked a path for a while then came to a clearing.
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  • From the corner of her eye she saw the gray truck pushing a trail down the drive and dodged out of its path, completely forgetting about the stump hidden under the snow.
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  • She stared after him as he strode down the path to the porch.
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  • At the path she slowed, and he caught up with her, following her to the edge of the creek.
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  • Dan ran ahead of them, Elise behind, and they flew down a deer path to a creek, then darted across rocks to the other bank.
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  • Brady pushed her from his mind, focusing on the deer path leading away from the condo community into the forest.
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  • He stalked off into the forest, away from the castle and cliff.  Toby clambered through the brush and trees after him, the angel's footsteps loud where Rhyn's were silent.  Rhyn found a deer path and followed it until he reached a snowy meadow.  Crossing it, he continued to look for a place to stash the angel where the kid wouldn't freeze to death.  After another hour of walking, he found a small pocket in the roots of a massive tree.
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  • The forest was soon filled with the sound of pursuers.  Katie needed no further encouragement.  She pulled her arm free and ran behind Gabriel as he kept to the invisible path.  A shadow caught her attention.  She glanced over and froze, tripping.
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  • Follow this path until you reach a stream.  Follow the stream towards the smaller moon.  I'll catch up with you.  Whatever you do, don't leave the stream.
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  • His shove almost drove her to her knees again.  She steadied herself and looked up in time to see him disappear into the jungle.  Fear made her heart pound.  The strange path he'd been following appeared ahead of her, revealing itself only a few steps at a time.  She started at a walk and quickened to a jog, making sure the path wouldn't close and trip her.  The path kept up with her, and she ran.
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  • Katie hesitated then continued onto the path Gabriel had told her to follow.  She didn't know what the creature was.  He looked like Andre, but Andre was dead-dead, which meant the creature following them was something else.
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  • Katie frowned.  In the course of a day, Gabe had gone from emotional to unaffected when discussing Death.  He was distracted, and she felt like she was talking to someone completely different.  Blaming herself for taking his mind off of their survival, she fell silent and followed him.   Briars and branches caught her pant legs, and she found herself slowing to push more and more of the jungle's flora out of the way.  Gabe, too, began to struggle with the bramble, and she noticed the jungle no longer laid their path before him.  Instead of clearing away to allow them passage, it stayed where it was, obstructing them.
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  • Gabe cast an irritated look over his shoulder but looked where she indicated.  He lowered the sword he was using to hack through the brush and started in that direction.  Katie watched as the forest cleared a path for him, the way it had before.
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  • I want my mate back, and I will destroy anyone in my path.
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  • Toby didn't answer, unwilling to admit just how much Ully's words stung.  He led them deeper into the jungle.  The branches hurried to create a path for him, and he smiled at them.  According to his angel memories, the trees were more than trees in Death's underworld.  They were alive.
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  • Katie started in the direction of the woman's voice.  She stumbled over fallen, slick wood and brambles she couldn't see.  Whatever magic that had cleared a path for her was gone.  She struggled through the jungle before calling out, "Can you hear me?  I can't see much.  You'll have to say something, so I can find you."
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  • Katie angled herself towards the voice once again.  The woman was close.  She continued and then stopped suddenly, nearly tripping over the small form in her path.
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  • She pulled, and he ran.  Katie felt the ground shake beneath them as the demons pursued.  Several flew overhead and dropped directly in their path.  She stopped and shoved Toby behind her, drawing the knife Gabe had given her.  Before long, they were surrounded.
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  • His route to Philly looked like a drunkard's path, zigzagging a series of country roads that were at times crowded with local traffic.
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  • Dean half-felt his way across the parking lot in his bare feet, cursing the pebbles and splashing through ankle-deep puddles at curbside before stumbling into the absolute darkness of the beach-side path.
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  • He groped his way down the path, the wind whipping his raincoat behind him, until he felt the mush of soft sand beneath his aching feet.
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  • He made two or three false starts before he located the elusive narrow path through the thorny brush that separated the beach from the road beyond it.
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  • The path led step by step from the renter of Bascomb Place, with Fred and Dean always a step behind him.
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  • Suddenly a rabbit darted from the brush directly in their path.
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  • In any case, I've walked that path many times from or to the creek at night.
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  • If you don't take the next step down that path, you'll likely regret the outcome.
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  • If she didn't help put her mate on a certain path, she couldn't tell if any of them would survive.
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  • You showed me something a week ago, a vision on a path I cannot see myself.
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  • He would never be what he once was, but he wasn't Jonny, headed down a dark path.
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  • He was headed down his own path, that of the Grey God, a creature that never existed before him.
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  • Her heart beat faster as she followed a familiar path through the obelisks.
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  • She wasn't going down the path Xander said was hers.
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  • Whatever happened, she chose her path long ago.
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  • Every other path ends very badly.
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  • Her visions were all over the place this night, and she wasn't sure what she'd initially thought was the right path would actually turn out well.
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  • Her gaze assessed their location for a safe path towards the ocean.
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  • The pillar of light was moving closer, enveloping everything in its path.
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  • At five years into her rule and mere days from war, was she already toppling down the path of madness?
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  • The first form darted through trees and brush, shoving branches out of his path and stumbling.
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  • She recalled falling asleep atop her horse as she rode down the quiet, darkened path toward home.
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  • As old and frail as I am, I still wish to fight the barbarians, but my advisor warns me I'll soon follow the path of my mad father.
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  • Taran's large frame blocked her path to the door.
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  • His path was once more clear.
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  • The horse knew the familiar path; it was the same she traveled to Oceanan.
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  • I needed him to clear a path for me.
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  • They'd stopped in the center of the meadow, the safe path through the traps marked by wooden stakes.
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  • He didn't see his path or notice the brambles snagging his clothing.
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  • Of course, he didn't have to know … She started for the path to the stable and then stopped.
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  • By the time Carmen retrieved the table cloths from the house, Gerald and Alex had crossed the footbridge and were on the path up the hill to the house.
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  • She tried to step around him, but he stepped into her path again.
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  • At the path entrance, she tied one end of the twine around a tree and started down the trail, allowing the twine to unwind from the handle as she did so.
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  • It never disturbed her before, because he was on the path she needed him to follow.
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  • Xander's ability was far weaker than hers, but he was able to see certain parts of another's path when in their minds.
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  • Xander held out an arm to block her path.
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  • You would've pushed him down that path eventually.
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  • There is no excuse for short play on his part, and his bowls would be better off the green than obstructing the path of subsequent bowls.
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  • Alexander was not the only claimant to the vacant throne, but, recognized by the army, he soon swept all rivals from his path.
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  • He takes no heed of his rider, pays no attention whether he be on his back or not, walks straight on when once set agoing, merely because he is too stupid to turn aside, and then should some tempting thorn or green branch allure him out of the path, continues to walk on in the new direction simply because he is too dull to turn back into the right road.
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  • While making these reservations, it is at thesame time right to observe that certain Italian communities were more advanced upon the path of independence than others.
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  • But he did not move so fast in the path of reform as was expected, and agitation continued throughout the papal states.i In 1847 some administrative reforms were enacted, the laity were admitted to certain offices, railways were talked about, and political newspapers permitted.
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  • There is at present also a want of agreement among botanists as to the path which the water takes in the structural elements of the tree, two views being held.
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  • If a solution of the pigment is placed in the path of a beam of light which is then allowed to fall on a prism, the resulting spectrum will be found to be modified.
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  • Leaves respond in another way to the same influence, placing themselves across the path of the beam of light.
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  • They doubtless equally supply a path by which southern temperate types may have extended northwards.
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  • By the same path it kis received a remarkable contribution from the North Temperate region; such familiar genera as Ranunculus, Epilobfum and Veronica form more than 9% of the flowering plants.
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  • In the New World, as already explained, the path of communication between the northerri and southern hemispheres has always been more or less open, and the temperate flora of southern America does not exhibit the isolation characteristic of the southern region of the Old World.
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  • The downward pull of gravity suffices to bring about the fall of such material, but the path it will follow and the distance it will travel before coming to rest depend upon the land form.
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  • The Propylaea were approached in Greek times by a zig-zag path, terraced along the rock; this was superseded in Roman times by a broad flight of steps.
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  • In short, it became only too evident that there was no royal road to national prosperity, and that Russia, like other nations, must be content to advance slowly and laboriously along the rough path of painful experience.
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  • The second path is that which is traced out by the priest-prophet Ezekiel, and is that of legalism, which was destined to secure a permanent place in the life and literature of the Jewish people.
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  • It is essentially the path which may be summed up in the word Judaism, though, as will be shown in the sequel, Judaism came to include many other factors.
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  • The development of the priestly code of legislation (Priestercodex) was a gradual process, and probably occupied a considerable part of the 5th century B.C. The Hebrew race now definitely entered upon the new path of organized Jewish legalism which had been originally marked out for it by Ezekiel in the preceding century.
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  • The very small and irregular rainfall in Sind and along the Indus is to be accounted for by the want of any obstacle in the path of the vapour-bearing winds, which, therefore, carry the uncondensed rain up to the Punjab, where it falls on the outer ranges of the western Himalaya and of Afghanistan.
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  • The plateau-like summit, which originally could be reached only from the south by a steep and narrow path, was rendered almost impregnable to Indian attack by a sheer cliff on the river side of the hill, a deep ravine along its eastern base and steep declivities on the other sides.
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  • The Russians slowly retired before the invader, burning and destroying everything in his path.
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  • Pico was the first to seek in the Kabbalah a proof of the Christian mysteries and it was by him that Reuchlin was led into the same delusive path.
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  • They formed a new path to Heaven, to tread where no one had tread before.
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  • The excitement communicated itself to the whole army; and the nervous strength which it gave enabled the crusaders to meet and defeat Crusade, and above all on the - Sixth, this path was still more seriously attempted.
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  • Ordinarily shallow, the rivers after heavy rain fill with great rapidity, sweeping away everything in their path.
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  • In a letter, Del movimento della cometa apparsa it mese di decembre 1664, published in 1665 under the pseudonym Pier Maria Mutoli, he was the first to suggest the idea of a parabolic path; and another of his astronomical works was Theorica mediceorum planetarum ex causis physicis deducta (Florence, 1666), in which he considered the influence of attraction on the satellites of Jupiter.
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  • The woods are so dense over large districts as to be impenetrable, except by cutting a path foot by foot through the close network of vines and undergrowth.
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  • In the sandy part of the desert beyond this strip of fertility both men and beasts, leaving the beaten path, sink as if in loose snow.
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  • In both alike the scirocco, bringing rain from the south-west, is a prevalent wind, as well as the bora, the fearful north-north-easter of Illyria, which, sweeping down the lateral valleys of the Dinaric Alps, overwhelms everything in its path.
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  • Turkey's progress in the path of reform was viewed with some uneasiness in Russia, the cardinal principle of whose policy since 1829 had been to maintain her own influence at Constantinople by keeping the Otto- Policy man government weak.
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  • Among the writers of this time who did not copy Nabi are Sabit, Rasikh and Talib, each of whom endeavoured, with no great success, to open up a new path for himself.
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  • The object of his incarnation and death was to free man from his sins, to lead him into the path of wisdom, and thus in the end elevate him to the position of a god.
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  • Burton was pre-eminently a jurist and economist, and may be said to have been guided by accident into the path which led him to celebrity.
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  • Here the river runs in a narrow precipitous defile along which no path is practicable.
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  • The strength of the current may also be regulated by introducing lengths of German silver or iron wire, carbon rod, or other inferior conductors in the path of the current, and a series of such resistances should always be provided close to the tanks.
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  • When the rivers are frozen communication is maintained by sledges on the Amur; but in spring and autumn the only continuous route down the Shilka and the Amur, to its mouth, is on horseback along a mountain path (very difficult across the Bureya range).
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  • The medieval mind was only too prone to look on morality as a highly technical art, quite as difficult as medicine or chancery law - a path where wayfaring men were certain to err, with no guide but their unsophisticated conscience.
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  • If, however, the permeability of the test rod differs from that of the standard, the number of lines of induction flowing in opposite directions through the two rods will differ, and the excess will flow from one yoke to the other, partly through the air, and partly along the path provided by the bent bars, deflecting the compass needle.
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  • Para, Parnahyba, Parahyba, Santos and Rio Grande do Sul are river ports situated near the sea on rivers having the same name; but, with the exception of Path and Santos, they are difficult of access and are of secondary importance.
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  • The north-east coast, which is sandy and barren, shows an average mean annual temperature (at Fortaleza) of nearly 80° F., which is slightly higher than those of Maranhao and Path.
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  • Within an hour's walk of Path are to be found, he says, about 700 species of butterflies, "whilst the total number found in the British Islands does not exceed 66, and the whole of Europe supports only 321."
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  • The Pass of Birnam, where the river narrows, was the path usually taken by the Highlanders in their forays.
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  • Following in the path struck out by Miss Strickland in her Lives of the Queens of England, and by Lord Brougham's Lives of Eminent Statesmen, he at last produced, in 1849, The Lives of the Lord Chancellors and Keepers of the Great Seal of England, from the earliest times till the reign of King George IV., 7 vols.
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  • Up to 1 755 all the Portuguese territory on the Amazon formed part of the capitania of Path.
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  • The path of a ray from the wave-surface AoBo to A or B is determined by the con dition that the optical distance, µ ds, is a minimum; and, as AB is by supposition a wave-surface, this optical distance is the same for both points.
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  • The path of a ray from the wave-surface A 0 B 0 to the point A is changed; but in virtue of the minimum property the change may be neglected in calculating the optical distance,as it influences the result by quantities of the second order only in the changes of refrangibility.
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  • Accordingly, the optical distance from AoBo to A is represented by f (A +S/c)ds, the integration being along the original path Ao.
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  • The geometrical theory first requires a consideration of the path of a ray of light falling upon a transparent sphere.
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  • If the ray suffers one internal reflection at D, then it is readily seen that, if DB be the path of the reflected ray, the angle ADB equals 2r, i.e.
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  • We thus see that the order of colours in the secondary bow is the reverse of that in the primary; the secondary is half as broad again (3°), and is much fainter, owing to the longer path of the ray in the drop, and the increased dispersion.
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  • If other vortices are present, any one may be supposed to move with the velocity due to the others, the resultant stream function being = gy m log r =log IIrm; (9) the path of a vortex is obtained by equating the value of 1P at the vortex to a constant, omitting the rm of the vortex itself.
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  • For example, a pair of equal opposite vortices, moving on a line parallel to a plane boundary, will have a corresponding pair of images, forming a rectangle of vortices, and the path of a vortex will be the Cotes' spiral r sin 20 = 2a, or x-2+y-2=a-2; (io) this is therefore the path of a single vortex in a right-angled corner; and generally.
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  • In the absolute path in space cos Ili = (2 - 3 sin 2 6)/1/ (4-sin 2 6), and sin 3 B = (y 3 -c 2 y)/a 3, (19) which leads to no simple relation.
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  • Denning's comet of 1881 and Finlay's of 1886, approached comparatively near to the earth's path, the former within 3,000,000 m.
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  • Material difficulties now, however, for the first time intruded on his path.
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  • Every species of good fortune was now to descend on the path of the man who had struggled against ill luck so long.
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  • The coast is for the most part abrupt and rocky, often leaving room for only a narrow path along the shore, and when viewed from the sea it does not suggest the extent of country lying between its cliffs and the lofty summits behind.
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  • Standing back somewhat from the path just as it bends round up the hill is the Theban treasury.
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  • Farther north, where the path turns again, is the Athenian treasury.
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  • The path described by it when removed from the action of gravity and all other physical forces is called a line of electric force.
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  • In some cases the value of this electromotive force between two points or conductors is independent of the precise path selected, and it is then called the potential difference (P.D.) of the two points or conductors.
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  • It was described as a treacherous path.
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  • In his zeal for orthodoxy, indeed, Frederick William outstripped his minister; he even blamed W6llner's "idleness and vanity" for the inevitable failure of the attempt to regulate opinion from above, and in 1794 deprived him of one of his secular offices in order that he might have more time "to devote himself to the things of God"; in edict after edict the king continued to the end of his reign to make regulations "in order to maintain in his states a true and active Christianity, as the path to genuine fear of God."
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  • The area BCDdb under the path represents the external work done by the substance in expanding from B to D, which is analytically represented by the integral of pdv taken along the given path.
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  • Any closed path or figure, such as ABCD, represents a complete cycle or series of operations, in the course of which the substance is restored to its original state with respect to temperature, intrinsic energy and other properties.
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  • The area DABbd under the return path (v diminishing) represents work done on the substance, or against the back-pressure, and is negative.
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  • It follows from the first law that the intrinsic energy of a substance in a given state must always be the same, or that the change of E in any transformation must depend only on the initial and final states, and not on the path or process.
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  • This is mathematically expressed by the statement that dE is an exact differential of a function of the co-ordinates defining the state of the body, which can be integrated between limits without reference to the relation representing the path along which the variations are taken.
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  • The substance is then cooled to the lower temperature 0" along the path CD, keeping it in the saturated state.
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  • If, starting from E, the same amount of heat h is restored at constant pressure, we should arrive at the point F on the adiabatic through B, since the substance has been transformed from B to F by a reversible path without loss or gain of heat on the whole.
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  • The whole quantity of heat required to raise the temperature from 0" to 0' at constant pressure along the path EC is H+h, which is equal to S(0' - o"), where S is the specific heat at constant pressure.
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  • For a finite change it is necessary to represent the path by a series of small steps, which is the graphic equivalent of integration along the path represented by the given relation between v and 0, or p and 0.
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  • Since the change of energy is independent of the path, the finite change between any two given states may be found by integration along any convenient path.
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  • It is generally convenient to divide the path into two steps, isothermal and isometric, or isothermal and isopiestic, and to integrate along each separately.
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  • In virtue of relations (2), the change of entropy of a substance between any two states depends only on the initial and final states, and may be reckoned along any reversible path, not necessarily isothermal, by dividing each small increment of heat, dH, by the temperature, 0, at which it is acquired, and taking the sum or integral of the quotients, dH/o, so obtained.
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  • But the line of constant energy on - the diagram does not represent the path of the transformation, unless it be supposed to be effected in a series of infinitesimal steps between each of which the substance is restored to an equilibrium state.
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  • If the tube is a perfect non-conductor, and if there are no eddies or frictional dissipation, the state of the substance at any point of the tube as to E, p, and v, is represented by the adiabatic or isentropic path, dE= -pdv.
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  • This inequality holds in all cases, but cannot in general be applied to an irreversible change, because Od4 is not a perfect differential, and cannot be evaluated without a knowledge of the path or process of transformation.
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  • It carried the art of navigation through the Mediterranean, along the Atlantic seaboard as far as Great Britain, leaving colonies along its path.
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  • German Corps, the only one in their direct path, and then fighting their way across the communications of the II.
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  • Among these were the exponential calculus, and the curve called by him the linea brachistochrona, or line of swiftest descent, which he was the first to determine, pointing out at the same time the relation which this curve bears to the path described by a ray of light passing through strata of variable density.
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  • In air of considerable density the mean free path of a molecule, between its collisions with other molecules, is exceedingly small, and any such increase of gaseous pressure in front of the black surface would be immediately neutralized by flow of the gas from places of high to places of low pressure.
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  • But at high exhaustions the free path becomes comparable with the dimensions of the glass bulb, and this equalization proceeds slowly.
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  • The general nature of the phenomena is thus easily understood; but it is at a maximum at pressures comparable with a millimetre of mercury, at which the free path is still small, the greater number of molecules operating in intensifying the result.
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  • Reynolds, in his investigation, introducing no new form of law of distribution of velocities, uses a linear quantity, proportional to the mean free path of the gaseous molecules, which he takes to represent (somewhat roughly) the average distance from which molecules directly affect, by their convection, the state of the medium; the gas not being uniform on account of the gradient of temperature, the change going on at each point is calculated from the elements contributed by the parts at this particular distance in all directions.
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  • Further, all water particles when moving undergo a deviation from a straight path due to the forces set up by the rotation of the earth deflecting them towards the right as they move in the northern hemisphere and towards the left in the southern.
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  • In 1192 and 1193 he commanded personally and with success against the Apulian barons, but his death at Palermo (20th of February 1194) a few days after that of Roger, his son and joint-king, made Henry's path clear.
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  • Here, in 1740, he wrote his popular religious manual the Path of the Upright (Messilath Yesharim) and other ethical works.
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  • From these primary axioms the whole body of necessary thoughts must be developed, and, as Socrates would say, the argument itself will indicate the path of the development.
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  • According to Boscovich matter is made up of atoms. Each atom is an indivisible point, having position in space, capable of motion in a continuous path, and possessing a certain mass, whereby a certain amount of force is required to produce a given change of motion.
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  • It passes from one place to another along a continuous path.
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  • But if the wandering molecule was originally close to the surface of the body, and if it also happens to start off in the right direction, it may escape from the body altogether and describe a free path in space until it is checked by meeting a second wandering molecule or other obstacle.
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  • His first task was to set his house in order; he reorganized the finances, created the army, and started Piedmont on a path which if not liberalism was at least progress.
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  • Path and Funtumia rubber trees are also cultivated by the department.
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  • At the same time that the Neo-Platonists, like Ficino and Pico de la Mirandola, and the pantheists, whose God was little more than a reverential conception of the universe at large, and the purely worldly humanists, like Celtes and Bebel, were widely diverging each by his own particular path from the ecclesiastical Weltanschauung of the middle ages, Ulrich von Hutten was busy attacking the Curia in his witty Dialogues, in the name of German patriotism.
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  • The anti-Trinitarian path was one which opened invitingly before a considerable class of critical minds, seeming as it did to lead out into Reformed Church In America a sunny open, remote from the unfathomable depths of mystery and clouds of religious emotion which beset the way of the sincere Catholic and Protestant alike.
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  • Its polemic against the philosophy of experience has exposed it to general misunderstanding, as though it claimed some a priori path to truth.
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  • This incident well illustrates the ground of his objection to the British system of patent law, which he looked upon as calculated to strifle invention and impede progress; the patentees in this case did not manage to make a practical success of their invention themselves, but the existence of prior patents was sufficient to turn him aside from a path which conducted him to valuable results when afterwards, owing to the expiry of those patents, he was free to pursue it as he pleased.
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  • The English Benedictines never advanced farther along the path of centralization; up to their destruction this polity remained in operation among them, and proved itself by its results to be well adapted to the conditions of the Benedictine Rule and life.
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  • In a vacuum, the projectile acted on by the force of projection begins to fall under the action of gravity immediately it leaves the bore, and under the combined action of these two forces the path of the projectile is a parabola.
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  • The racer path must be level.
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  • He utilized his father's engineers in the construction of a path or gallery winding up round the Sigiri rock.
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  • The path of duty for a general saddled with a plan which he disapproves is not easily discoverable.
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  • The discrepancy now, however, amounts to the entire breadth of a sign, the sun's path in Aries lying among the stars of Pisces, in Taurus among those of Aries, &c.
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  • The idea of tracing the sun's path among the stars was, when it occurred to Chaldaean astronomers, an original and, relatively to their means, a recondite one.
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  • The moon was the earliest " measurer " both of time and space; but its services can scarcely have been rendered available until stellar " milestones " were established at suitable points along its path.
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  • The interesting observations of Morland, already quoted, seem to have been neglected, and no one attempted to follow in the path which he had pointed out.
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  • Before 1868 Maxwell conducted the experiment by sending light from the illuminated cross-wires of an observing telescope forward through the object-glass, and through a train of prisms, and then reflecting it back along the same path; any influence of convection would conspire in altering both refractions, but yet no displacement of the image depending on the earth's motion was detected.
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  • Now the direction and phase of the light are those of the ray which reaches the eye; and by Fermat's principle, established by Huygens for undulatory motion, the path of a ray is that track along which the disturbance travels in least time, in the restricted sense that any alteration of any short reach of the path will increase the time.
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  • Thus the path of the ray when the aether is at rest is the curve which makes fds/V least; but when it is in motion it is the curve which makes fds/(V+lug-m y -I-nw) least, where (l,m,n) is the direction vector of Ss.
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  • Moreover, this is precisely the condition for the absence of interference between the component of a split beam; because, the time of passage being to the first order fds/V f(udx+vdy+wdz)V2, the second term will then be independent of the path (43 being a single valued function) and therefore the same for the paths of both the interfering beams. If therefore the aether can be put into motion, we conclude (with Stokes) that such motion, in free space, must be of strictly irrotational type.
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  • Early distinguished by her excellence as a pianist, organist and singer, she also showed considerable ability in painting and illuminating; but a lively poetic imagination led her to the path of literature, and more especially to poetry, folk-lore and ballads.
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  • Absalon, with only Sweyn, bishop of Aarhus, and twelve "housecads," thereupon disembarked, passed between a double row of Wendish warriors, 6000 strong, along the narrow path winding among the morasses, to the gates of the fortress, and, proceeding to the temple of the seven-headed god Rtigievit, caused the idol to be hewn down, dragged forth and burnt.
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  • There was little in his path.
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  • An army of 160,000 Turkish veterans led by Sultan Osman in person advanced from Adrianople towards the Polish frontier, but Chodkiewicz crossed the Dnieper in September 1621 and entrenched himself in the fortress of Khotin right in the path of the Ottoman advance.
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  • The mule path descends on the south side of the pass by an extraordinary series of zigzags, made accessible for mules (though no rider is now allowed to descend on mule-back) by a band of Tirolese workmen in 1740-1741.
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  • She had only to bide her time while Mary made straight her successor's path by uprooting whatever affection the English people had for the Catholic faith, Roman jurisdiction and Spanish control.
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  • A path through the last Klamm leads to the magnificent fall (174 ft.) of the Gross-Arle river, which discharges itself in a series of cascades into the Salzach.
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  • During his twenty years' reign Denmark advanced steadily along the path of greatness and prosperity marked out for her by Valdemar I., consolidating and extending her dominion over the North Baltic coast and adopting a more and more independent attitude towards Germany.
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  • We constantly meet with the idea that the soul, on leaving the body, finds its path to the highest heaven opposed by the deities and demons of the lower realms of heaven, and only when it is in possession of the names of these demons, and can repeat the proper holy formula, or is prepared with the right symbol, or has been anointed with the holy oil, finds its way unhindered to the heavenly home.
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  • With the rise of species, deities and the cult of individual animals, the path towards anthropomorphization and polytheism is opened and the respect paid to animals tends to lose its strict animistic character.
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  • A curious feature of the cyclonic storms is that, whether they cross the interior of the country near the northern or southern boundary or along an intermediate path, they converge towards New England as they pass on toward the Atlantic; and hence that the north-eastern part of the United States is subjected to especially numerous and strong weather changes.
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  • When he possesses that power he may overawe Congress, and make them follow, even reluctantly, in the path he points out.
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  • The proximity of the sea or of great lakes, the elevation and the direction of mountain chains, the usual path of storms and of prevalent winds, and the relative length of day and amount of sunshine in summer and winter all have their effect on different parts of Canada.
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  • The path was fairly open before him to the highest advancement in the Church of Rome, yet he deliberately sacrificed all such hopes and placed himself in the van of a hard and doubtful struggle" (The Guardian, 1872, p. 1004).
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  • In opening the session of 1830 he declared that he would "find the power" to overcome the obstacles placed in his path by "culpable manoeuvres."
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  • Increased density at the same temperature means in the first place a reduction of the average distance between the molecules, but it means also a reduction in the mean free path and an increase in the number of impacts.
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  • If it is the average distance irrespective of length of path and of number of impacts we should be justified in ascribing the effect to density, but if it is the number of impacts it would be more reasonable to ascribe it to pressure.
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  • A first attack failed, as did an attempt to find an unguarded path round the shoulder of the Schonberg.
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  • Peter now felt able to advance along the path of progress with a quicker and a firmer step. It was resolved to consolidate the victory by establishing a new naval station at the head of the Sea of Azov, to which the name of Taganrog was given.
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  • The high road to the woolsack was now open, but his defection from his former path has stamped his character with general infamy.
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  • But in many important points their deviation from the strait path of Judaic development was complete.
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  • Nor was his failure due to lack of activity or energy, but rather to the insuperable obstacles in his path - the physical configuration of Italy, and, above all, the invincible repugnance of the Italian municipalities to submit to the mastery of a religious power.
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  • It was in vain that this cultured prince, imbued with the principles of humanism, represented to the cardinals that this new path would lead quickly to the goal, but that this goal could not be unity but a triple schism.
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  • In one respect it was impossible for the papacy to continue on the path it had taken.
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  • In this case it is found that the body falls relatively to the ship as if the latter were at rest, and alights at the foot of the mast, having consequently pursued a parabolic path relatively to the earth.
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  • The process of cooling is thus represented by a path which runs vertically downwards till it cuts the 0 Molecular Percentage of Na t S04 Siluer Copper FIG.
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  • In India Yama, the god of Death, is assumed, like Maui, to have been the first to "spy out the path to the other world."
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  • Col d'Arsine (La Grave to Monestier), bridle path Col des Pres Nouveaux (Le Freney to St Jean d'Arves), bridle path 7,523 Col des Sept Laux (Allevard to Bourg d'Oisans), bridle path 7,166 Col du Lautaret (Briancon to Bourg d'Oisans), carriage road 6,808 Col de la Croix de Fer (Bourg d'Oisans to St Jean d'Arves), carriage road..
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  • Col Sommeiller (Bardonneche to Bramans), snow 9,718 Col de la Traversette (Crissolo to Abries), mainly bridle path beneath pass tunnel made in 1478-1480.
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  • Ghicet di Sea (Balme to Forno Alpi Graie), foot path (C).
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  • Pragel Pass (Muotathal to Glarus), carriage road in progress Hacken Pass (Schwyz to Einsiedeln), foot path Holzegg Pass (same to same), bridle path Ibergeregg Pass (Schwyz to Iberg and Einsiedeln), carriage road 7,126 6,877 6,811 6,227 5,512 5,417 5,158 5,099 4,616 4,613 Krazeren Pass (Nesslau to Urnasch), bridle path.
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  • Umbrail Pass or Wermserjoch (Munster Valley to the Stelvio road), carriage road Passo di Val Viola (Bernina road to Bormio), bridle path Giufplan Pass (Ofen road to Fraele), bridle path.
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  • Passo Dheira (Livigno to Trepalle) bridle path.
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  • Tabarettascharte (Sulden to Trafoi), foot path Stelvio Pass (Trafoi to Bormio), carriage road 9,055 Gavia Pass (Santa Caterina to Ponte di Legno), foot path 8,651 Timmeljoch orTimblerjoch (Solden to the Passeierthal and Meran), bridle path.
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