Sofia followed him as the halls angled up and narrowed until Two had to walk through them sideways.
In Helix the spire forms a more or less obtuse-angled cone; there are above 1200 species, of which 24 are British.
In Succinea the cone of the spire is acute-angled; three species are British.
This triangle, for the convenience of calculation, we divide into two right-angled triangles.
If the latitudes differ, we have to solve an oblique-angled spherical triangle, of which two sides and the included angle are given.
To say, for instance, that the area of a right-angled triangle is half the area of the rectangle contained by the two sides, is not to say what the area is, but what it is the half of.
(iii) Right-angled triangle: sides a and b, enclosing the right angle.
Constructing a square of twice the area of a given square (which follows as a corollary to the Pythagorean property of a right-angled triangle, viz.
7 angled at C, ADB is the semicircle described on AB as diameter, AEB the circular arc described with centre C and radius CA= CB.
Right angled at C, semicircles are described on the three sides, thus forming two lunes Afcda and Cgbec. The sum of the areas of these lunes equals the area of the triangle ABC.] As for Euclid, it is sufficient to recall the facts that the original author of prop. 8 of book iv.
2-}-cos B It is readily shown that the latter gives the best approximation to 0; but, while the former requires for its application a knowledge of the trigonometrical ratios of only one angle (in other words, the ratios of the sides of only one right-angled triangle), the latter requires the same for two angles, 0 and 3B.
When hardened in situ its shape is that of a right-angled, triangular prism showing five surfaces - superior, anterior, inferior, posterior and right lateral which represents the base of the prism.
24, that he was the first person to describe a right-angled triangle in a circle.
In the papyrus marshes the hippopotamus was slain with harpoons, the wild boar, too, was probably hunted, and the sportsman brought down wild-fowl with the boomerang, or speared or angled for fish.
Within the focus of the object-glass is a right-angled prism of total reflection, which diverts the converging rays from the object-glass at right angles to the axis of the telescope, and permits the observing micrometer n to be mounted in the very convenient position shown in the figure.
It can be shown, for example, that for masonry having a density of 3, water being 1, the figure of minimum section is a right-angled triangle, with the water against its vertical face; while for a greater density the water face must lean towards the water, and for a less density away from the water, so that the water may lie upon it.
If the right-angled triangle abc, fig.
Thick of a monolithic dam, subject to the pressure of water against its vertical side to the full depth ab= d in feet, the horizontal _ eL 2 pressure of water against the section of the dam, inI creasing uniformly with the depth, is properly represented by the isosceles right-angled triangle abe, in which be is the maximum water-pressure due to the Cent full depth d, while the area 2 abe = d is t h e total hor12 d3 6 If x be the width of the base, and p the density of the masonry, the weight of the masonry in terms of a cubic foot of water will be acting at its centre of gravity g, situated at 3x from the outer toe, and the moment of resistance to overturning on the outer toe, p x 2 d (2) In countries where good clay or retentive earth cannot be obtained, numerous alternative expedients have been adopted with more or less success.
By adopting right-angled reflectionprisms above the eyepiece he completely erected the image.
In this well-known variety the young shoots are but slightly angled, and the branches in the second year become round; the deltoid short-pointed leaves are usually straight or even rounded at the base, but sometimes are slightly cordate; the capsules ripen in Britain about the middle of May.
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.
The frontier which they form is inconveniently long, enclosing an acute-angled wedge of foreign territory - the modern Baden and Wurttemberg.
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.
They met in the field and talked for a few minutes and then separated – Rob continuing toward the guest house and Alex and Gerald angled toward the footbridge.
The man gazing back at him was wiry and lean with angled features and swirling gold eyes.
He raised her sword arm and angled her sword while explaining.
Contains problems of finding rational right-angled triangles such that different functions of their parts (the sides and the area) are squares.
- Diagram of Right-Angled cubic feet of water, acting g at one-third its depth above Triangle Dam.
The snow continued to fall as Dean pulled in front of Bird Song, angled his Jeep as best he could in the drifts, and climbed to the porch.
The cones, about the size of a small walnut, bear spirally arranged imbricated scales which subtend the three-angled winged seeds.