in the country along the diagonal line.
It hadn't come from the sky but from one of the buildings across the street, diagonal to her.
Two blocks away, the patrol car struck a van backing out from its diagonal parking space in front of the toy store.
The faces of the cube are striated parallel to one diagonal, and alternate corners are sometimes replaced by faces of a tetrahedron.
Hence the product determinant has the principal diagonal elements each equal to A and the remaining elements zero.
The diagonal line shows the average price per lb of all Indian tea sold in the London public auctions.
During his second and more important journey in Central Asia (1899-1902), Sven Hedin left Charkhlik, on the edge of the Taklamakan desert, in May 1901, intending to cross Tibet in a diagonal direction to the sources of the Indus.
Thus a bar of glass of sufficient thickness, placed in the diagonal position between a crossed polarizer and analyser and bent in a plane perpendicular to that of vision, exhibits two sets of coloured bands separated by a neutral line, the double refraction being positive on the dilated and negative on the compressed side.
In the irregular crystalline aggregates branching and moss-like forms are most common, and in Transylvania thin plates or sheets with diagonal structures are found.
R represented by the diagonal OC of the parallelogram determined by OA, OB.
Machines used for lifting only are not called cranes, but winches, lifts or hoists, while the term elevator or conveyor is commonly given to appliances which continuously, not in separate loads, move materials like grain or coal in a vertical, horizontal or diagonal direction.
Claus (Theoretische Betrachtungen and deren Anwendung zur Systematik der organischen Chemie) proposed his diagonal formula (III), and two years later, A.
With the exception of the top squares, every square is divided into two parts by a diagonal, the units being written on one side and the tens on the other, so that when a multiple consists of two figures they are separated by the diagonal.
The sum of two such lines (formed by adding together the real and the imaginary parts of two such expressions) can, of course, be expressed as a third directed line) - the diagonal of the parallelogram of which they are conterminous sides.
Further, at any one of the centres of load let PL represent the magnitude and direction of the gross load, and Pa, Pb the two resistances by which the piece to which that load is applied is supported; then wifl those three lines be respectively the diagonal and sides of a parallelogram; or, what is the same thing, they will be equal to the three sides of a triangleS and they must be in the same plane, although the sides of the polygon of resistances may be in different planes.
Reduction to hexamethylene compounds necessitates the disruption of three of the edges of the octahedron, the diagonal linkings remaining intact, or, in the plane projection, three peripheral linkages, the hexamethylene ring assuming the form (III); In 1888 J.
The statement that, if the adjacent sides of a rectangle are represented numerically by 3 and 4, the diagonal is represented by 5, is as much a matter of mensuration as the statement that the area is represented by 12.
The diagonal telescope nn is provided with cross hairs, and is used fcr the final centring of the instrument over an object.
The intersections of the diagonal streets left a number of small, triangular parks, which, as well as the larger ones, are well shaded.
Moreover, representing the remaining three lines by a" b" c" d" e" b /r c a, d N, e"' a " c 'N d"N err" it is further seen that the factor which multiplies the determinant formed with any two columns of the first set is the determinant of the third order formed with the complementary three columns of the second set; and it thus appears that the determinant of the fifth order is a sum of all the products of the form ' a b c" d" e" a, b"c"'dN, ear the sign being in each case such that the sign of the term .c"d"'e" obtained from the diagonal elements of the component determinants may be the actual sign of this term in the determinant of the fifth order; for the product written down the sign is obviously +.
With a biaxal plate perpendicular to the optic axis in the diagonal position, the hyperbolic brush becomes an hyperbolic line and the rings are expanded or contracted on its concave side, with a positive plate, according as the plane of the optic axes is parallel or perpendicular to the axis of the quarter-wave plate, the reverse being the case with a negative plate.
For (4) may (ï¿½ 43 (iv.)) be written (n - i) [71 = n [r] - n[r_1], and this leads to relations of the form 1 +2x+3x2+..ï¿½ i (I -x) (I +3x+6x2+Iox3+...) (30), each set of coefficients being the numbers in a downward diagonal of the table.
are called the offsets from the diagonal to the angular points.
On stones too large for facing-plates a diagonal draft was run, so as to avoid any wind in the plane (P.T.
This is an upright frame, usually made in wrought iron or steel strutted by diagonal thrust beams against the engine-house wall or other solid abutments, the height to the bearings of the guide pulleys being from 80 to 1 00 ft.
The quadrilateral, for instance, consists of two triangles, and its area is the product of half the length of one diagonal by the sum of the perpendiculars drawn to this diagonal from the other two angular points.
A determinant is symmetrical when every two elements symmetrically situated in regard to the dexter diagonal are equal to each other; if they are equal and opposite (that is, if the sum of the two elements be = o), this relation not extending to the diagonal elements themselves, which remain arbitrary, then the determinant is skew; but if the relation does extend to the diagonal terms (that is, if these are each = o), then the determinant is skew symmetrical; thus the determinants a, h, g a, v, - µ 0, v, - h, b, f - v, h, - v, 0, g,f,c c 12, - X, o are respectively symmetrical, skew and skew symmetrical: =0; a,b,c,d a' b' c' d'a" b c d" a, b, c, d a' b' c' d'a", b N' c N' dN,, , c d The theory admits of very extensive algebraic developments, and applications in algebraical geometry and other parts of mathematics.
angles formed by the lateral and median planes are the diagonal planes and in these flowers the petals which alternate with the sepals are cut by the diagonal planes.
except that the elements of the leading diagonal are not all zero.
The mirror mm is attached to the framework pafe, the members of which are parallel to the incident and reflected rays SO, OR, and the diagonal pf is perpendicular to the mirror.
The leading member of the determinant is alla22a33ï¿½ï¿½ï¿½ann, and corresponds to the principal diagonal of the matrix.
A diagonal line of vision across a square space makes the space feel bigger.
Jeanette is the converse of jean, being a twill of "two ends up to one down"; the diagonal passes from selvage to selvage at a greater angle than 45 degrees and the warp makes the wearing surface.
Marsh also devised a form closely resembling that of Thomsen, inasmuch as the carbon atoms occupied the angles of a regular octahedron, and the diagonal linkages differed in nature from the peripheral, but differeng from Thomsen's since rupture of the diagonal and not peripheral bonds accompanied the reduction to hexamethylene.
That the area of a parallelogram is equal to the area of a rectangle on the same base and between the same parallels, or that the volume of a cone is one-third that of a cylinder on the same base and of the same height, may be established by a proof which is admitted to be rigorous, or be accepted in good faith without proof, and yet fail to be a matter of conviction, even though there may be a clear conception of the relative lengths of the diagonal and the side of a square or of the relative contents of two vessels of different shapes.
As a simple example, take the case of a light frame, whose bars form the slides of a rhombus ABCD with the diagonal BD, suspended from A and carrying a weight W at C; and let it be required to find the stress in BD.
The capsules are incised vertically, or in some districts vertical cuts with diagonal branches are made.
The distance between joists should be limited to 5 or 6 ft.; horizontal bracing by means of diagonal rods is sometimes used, but should be avoided.
the (r+ i) th number in the nth diagonal row, is n(n-}-1).
The fan has eight arms, framed together of wrought iron bars, with diagonal struts, so as to obtain rigidity with comparative lightness, carrying flat close-boarded blades at their extremities.
diagonal braces at east end of nave look much more recent.
demagnetized region appeared along the opposite diagonal.
If both sides are to be loaded, place the diagonal at the top.
Ian Harte swung over a super diagonal cross from the left to pick out Bowyer in the Barca box.
determinant of a square diagonal matrix is the product of its diagonal elements.
diagonal of a matrix is called vector data.
Eventually he settles on the square based on the diagonal of the original square.
diagonal run to the corner from just inside the Thunder half.
A zero value occurring on the leading diagonal does not mean the matrix is singular.
Touch left beside right 19 20 Step left foot forward on a left diagonal.
The default value of K is 0, and the vector is placed on the main diagonal.
The line DA is d, the longest diagonal which is what we've been trying to work out all this time, remember?
The strong diagonal of the composition is emphasized by the shepherdÃ¢s hand reaching out toward the she-wolf.
The cloth is woven "one end up and two ends down," and as there are more picks of weft per inch than ends of warp the diagonal lines pass from selvage to selvage at an angle of less than 45 degrees.
With a crossed polarizer and analyser the rings are interrupted by a dark hyperbolic brush that cuts the plane of the optic axes at right angles, if this plane be at 45° to the planes of polarization and analysation - the so-called diagonal position - and that becomes a rectangular cross with its arms parallel and perpendicular to the plane of the optic axes when this plane coincides with the plane of primitive or final polarization - the normal position.
Diagonal bracing or strutting is nowhere to be found, and in many cases mortises and other joints are such as very materially to weaken the timbers at their points of connection.
The pillars are strengthened against lateral yielding by horizontal and diagonal bracing.
he winds it on bobbins with a rapid reciprocating motion, so as to lay the fibre in diagonal lines.
This begets a twisting diagonal movement of the wing on its long axis, which, but for the elasticity referred to, would break the wing into fragments.
The bracing is accomplished by the introduction at the angles of the columns and girders or beams of gusset plates or knee braces, or by diagonal straps or rods properly attached by rivet or pin connexions.
d, Diagonal sc, Sulcus.
It may be added, that if the lines are converted into columns, and the columns into lines, in such a way as to leave the dexter diagonal unaltered, the value of the determinant is unaltered; the determinant is in this case said to be transposed.
By what precedes it appears that there exists a function of the n 2 elements, linear as regards the terms of each column (or say, for shortness, linear as to each column), and such that only the sign is altered when any two columns are interchanged; these properties completely determine the function, except as to a common factor which may multiply all the terms. If, to get rid of this arbitrary common factor, we assume that the product of the elements in the dexter diagonal has the coefficient + 1, we have a complete definition of the determinant, and it is interesting to show how from these properties, assumed for the definition of the determinant, it at once appears that the determinant is a function serving for the solution of a system of linear equations.
The island has the form of an irregular rhomboid, the largest diagonal of which, from Torr Head in the north-east to Mizen Head in the south-west, measures 302 m.
in compression boom, 7 o tons in tension boom, 5 o tons in vertical struts, 6.5 tons in diagonal ties, 8 o tons in wind bracing, and 6.5 tons in cross and rail girders.
The diagonal AD of the parallelogram, of which AB and AC are adjacent sides, will represent, both in direction and magnitude, the motion of the rain as apparent to the observer.
OA1EA2 the diagonal OET will be the ~
Through any point 0 in this common perpendicular draw 0A1 parallel to B~C~ and OAi parallel to B2C,; make those lines pro B1 C2 portional to the angular velocities D ~ about the axes to which they are P respectively paiallel; complete the ~ B2 parallelogram OA1 EA2, and draw the diagonal OE; divide BiBf in D into C, two parts, inversely proportional to the angular velocities about the axes which they respectively adjoin; A2 through D parallel to OE draw DT.
We may therefore form an orthogonal transformation in association with every skew determinant which has its leading diagonal elements unity, for the Zn(n-I) quantities b are clearly arbitrary.
The rhombic faces of the dodecahedron are often striated parallel to the longer diagonal.
The products in question may be obtained by permuting in every possible manner the columns (or the lines) of the determinant, and then taking for the factors the n elements in the dexter diagonal.
'This implies the theorem that a given arrangement can be derived from the primitive arrangement only by an odd number, or else only by an even number of interchanges, - a of which may be easily obtained from the theorem (in fact a particular case of the general one), an arrangement can be derived from itself only by an even number of interchanges.] And this being so, each product has the sign belonging to the corresponding arrangement of the columns; in particular, a determinant contains with the sign + the product of the elements in its dexter diagonal.
The houses are built of wood and bamboo; and as the use of diagonal struts is not practised, the walls soon lean over from the force of the winds.
Diagonal Reports Diagonal reports specializes in conducting research into the global automotive aftermarket.
azure blue with a silver white diagonal cross.
Support for diagonal and full covariance Gaussian mixture HMMs.
The Vole LH V2 5c From the nose follow the thin diagonal roof crack to the lip.
diagonal rib swirled like an ice cream in a cone.
The determinant of a square diagonal matrix is the product of its diagonal matrix is the product of its diagonal elements.
diagonal seatbelt correctly.
diagonal seat belt should rest on the child's shoulders, not the neck.
Insert the short focus Barlow into a star diagonal for 2x or insert the diagonal into the Barlow for 3x.
Then will be block diagonal with blocks of Furthermore, let and.
It comes with a large screen diagonal Ã¢ that reaches almost the size of an A3 page.
Stack on diagonal to right with 1 light and 2 light further right with 2 light dormer over.
horizontal stripes, but changed in 1919 to the current white with purple broad diagonal stripes.
All these differences cause flicker, distinct motion judder, and jaggies along diagonal lines.
The middle tier is divided by a diagonal heather ledge, running from bottom left to top right.
The singular value decomposition is given by where the columns of are orthonormal and is a diagonal square-root matrix.
Finally draw four diagonal lines in the form of a square that connects the midpoints of each side.
For example, it is the ratio of the side of a regular pentagon to its diagonal.
quoins at the former northwest corner are hidden by the diagonal buttress of the tower.
These soft pointed handles have a diagonal rib swirled like an ice cream in a cone.
The precise nature of injection molding allows exact curved shapes with reinforcing diagonal ribbing on the structural components of the pool.
ruddy complexion, brown hair, hazel eyes, nose inclined to left, diagonal scar on left eyebrow.
using kitchen scissors, cut three diagonal slits in the top of each roll.
A four-point wheelchair restraint system is installed with a personal lap and diagonal seat belt for the wheelchair user.
Some cells contain a diagonal slash from top left to bottom right with numbers in them, called ' the clues ' .
Cut each pineapple slice into quarters and cut the bananas into thick slices on the diagonal.
steepening slab with a delicate move across a diagonal crack to gain the center of a diagonal flake line.
The diagonal strap should rest over the shoulder, not the neck.
Ties: The design should contain wider blue diagonal stripes with smaller gold stripes.
For lagged profiles that extend on either side of measured cells, the resultant matrix will be approximately symmetrical along the leading diagonal.
The Assistant Referees will be asked to run respective touchlines, depending on which diagonal the Referee runs during a game.
The new diagonal correction function. Ã¢¢ Through an original algorithm, which automatically detects trapezoids in images and corrects them to rectangles.
The greater weever has darker brown or blue diagonal streaks.
winning combination is any vertical, horizontal or diagonal line of four numbers.
Machines used for lifting only are not called cranes, but winches, lifts or hoists, while the term elevator or conveyor is commonly given to appliances which continuously, not in separate loads, move materials like grain or coal in a vertical, horizontal or diagonal direction (see Conveyors).
The leading member of the determinant is alla22a33Ã¯¿½Ã¯¿½Ã¯¿½ann, and corresponds to the principal diagonal of the matrix.
Alternatively, we might consider that we start with the first diagonal row (downwards from the left) and construct the remaining diagonal rows by successive applications of (15).
For (4) may (Ã¯¿½ 43 (iv.)) be written (n - i) [71 = n [r] - n[r_1], and this leads to relations of the form 1 +2x+3x2+..Ã¯¿½ i (I -x) (I +3x+6x2+Iox3+...) (30), each set of coefficients being the numbers in a downward diagonal of the table.
3) so as to form a diagonal AE, and that the whole of the figure lies between A N P Q, E lines through A and E at right angles to AE.
The measurements of a polygonal field or other area are usually taken as in § 25 (ii); a diagonal AE is taken as the base-line, and for the points B, C, D,..
(I) Perhaps one of the most efficient is a diagonal bracing of steel wire passing to and fro between the upper and lower bars and firmly secured to each by lapping or otherwise (fig.
The Narat-tau appear to form a diagonal (E.N.E.
With a crossed polarizer and analyser the rings are interrupted by a dark hyperbolic brush that cuts the plane of the optic axes at right angles, if this plane be at 45Ã‚° to the planes of polarization and analysation - the so-called diagonal position - and that becomes a rectangular cross with its arms parallel and perpendicular to the plane of the optic axes when this plane coincides with the plane of primitive or final polarization - the normal position.
The examination of dispersion of the optic axes in biaxal crystals (see Refraction, § Double) may be conveniently made with a plate perpendicular to the acute bisectrix placed in the diagonal position for light of mean period between a crossed polarizer and analyser.
Both the orderly arrangement of these diagonal chains and the agreement which exists between the tectonic and geological phenomena are well shown in the geological and hypsometrical maps published in the Annuaire du Club Alpin francais for 1891 and 1892 by MM.
Assuming they existed, the quoins at the former northwest corner are hidden by the diagonal buttress of the tower.
Using kitchen scissors, cut three diagonal slits in the top of each roll.
Some cells contain a diagonal slash from top left to bottom right with numbers in them, called ' the clues '.
Climb the center of the steepening slab with a delicate move across a diagonal crack to gain the center of a diagonal flake line.
For each row r below the diagonal row d, subtract a multiple of row d from row r.
A winning combination is any vertical, horizontal or diagonal line of four numbers.
How much space do you have?When you look at the size listed for a monitor, keep in mind that the number on the screen is a diagonal measurement, not horizontal.
Dell's Latitude XT2 has a 12.1" diagonal display.
The latest tablet from Toshiba, the Portégé R830, the 13.3" diagonal screen model.
Hang the boards up in the game room on a diagonal for effective wall décor.
Consider laying one tile straight along your counter before switching to the diagonal for two rows.
Four inch tiles actually measure 5-inches on the diagonal, so this pattern would fill the full 18-inches for a tone-on-tone design without cut pieces.
Run subway tiles in a running bond along the counters, and use a herringbone pattern behind the cooktop or use straight tiles along the counters and diagonal behind the cooktop.
Cut 2-inch decorative tiles into the center of every 4 full tiles set on the diagonal along the counters.
Two or three rows of mosaics will be followed with 12-inch tiles set on the diagonal in the center.
Line your upper lid from the inner corner to the outer, then draw a diagonal line from the edge of your lash line to the dot you made on the outer corner.
Draw another diagonal line from the lower dot to your waterline (the inner rim of your bottom lash line).
The classic style, which is also called traditional or diagonal style, is characterized by its straight ahead gliding movements.
If you're concerned about your figure, look for a gown with a diagonal zebra print.
This diagonal weave catches the light and is what gives the material a sheen.
The motorcycle jacket is also waist length but zips on a slight diagonal and usually zips down the bottom part of the sleeve.
A simple layout using a square or diagonal pattern is fairly straightforward, but there may be times when you want something a little more interesting.
Run a border at waist height and then switch to square tiles set on the diagonal up above.
When you reach the area behind the cooktop, lay the full, 12-inch tiles on the diagonal in an alternating pattern of color.
Repeat this behind the cooktop, but switch the pattern of the lighter tile to the diagonal for additional detail.
Shift the angle of the tiles to the diagonal for additional detail.
This can be a plain metallic tile with a few random decorative tiles or a border with the field tiles laid straight, or it can be plain tiles laid in a subway or diagonal pattern with no decoratives.
Did you know that a tile floor turned on the diagonal will cost you a minimum of 20 percent more than a tile floor laid straight?
Color blocks, diagonal stripes, and single splashes of color can help add flair to a swimsuit while simultaneously making it an attractive garment for any size woman.
The diagonal movement in the side-tie creates flattering waist shaping as well.
You can also wear two-toned suits, with a light color on top and a dark color below the waist.Another way to draw attention away from a tummy bulge is diagonal interest.
Swimsuits that feature stripes or patterns that run in a diagonal up-and-down direction are good for taking focus away from the stomach area.
Asymmetrical details: Soft ruffles that float in diagonal lines on a long skirt add just the right amount of visual interest.
You can also enhance your figure with diagonal patterns and paneled tops that concentrate darker colors on the sides, with lighter colors in the center.
The diagonal stripe patterns especially make your waist look smaller."
The diagonal belt loops at the hips have pyramid stud accents.
Instead, look for "waved" stripes that caress the dress in a diagonal shape.
Beat-em-ups usually have a 3/4 view showing a background with a diagonal field the characters can traverse.
The first player to make a row, column, or diagonal line of four identically-colored pieces is the winner.
Bear in mind that each swap must result in a matching line (vertical or diagonal) of marbles.
If one of the two balls swapped ends up in a vertical or diagonal row of three or more balls of the same color, the balls swap positions and the row of three or more bounces off the board, to be replaced by new balls at the top.
Get a row, column or diagonal of Xs or Os and win.
Beds should be placed diagonal to the door in the corner of the bedroom, with equal space on either side to encourage equality in the relationship.
Shift direction slightly and go at a diagonal, still downward to avoid ingrown hair.
You'll need to make diagonal strokes, shave from bottom to top, and so on, to get all of those pesky little hairs.
Make a diagonal fold from opposite points of the paper.
Make a fold along the other diagonal and crease, then unfold.
Fold the bottom corner up to reach the center point (where the two diagonal creases intersect).
Bring both sides in at a diagonal angle and crease.
Then, take the remaining right side of the paper and crease along the diagonal edge of the handle.
To do this, slide the second piece of folded paper into between the other pieces, right along the diagonal edge.
The diagonal folds need to be valley folds, which means that the fold goes inward.
Open the paper back up and fold it along the other diagonal, from one corner to the other.
Make diagonal creases in the paper by bringing the two opposite points together, creasing the fold, and unfolding.
Fold the paper on the diagonal, and reverse fold one of the points in to the center.
Your shape now resembles a square with a center diagonal line.
But stay away from fabrics with plaid, one-way or diagonal prints as they can be tricky to match when laying out the pattern.
The diagonal details on this swimsuit make for a slimming fit, and the inexpensive price is just right for many budgets.
Both halves are joined on the diagonal to minimize hip width, and the suit is completed by a sassy row of pink and black ruffles.
It features a pattern of what could best be described as interlocking belts that loop on a diagonal slant.
Likewise, diagonal details like shirring tend to create a more flattering waistline than a flat front.
A twisted bodice, diagonal stripes, or large prints builds up the allusion of a stylish bust area.
The navy blue with white diagonal stripes pattern won't call attention to problem areas.
Diagonal stripes in the chest area will also create an illusion of a fuller bust.
If you're still self-conscious about your hips, wear a swimsuit with patterning on the top or with diagonal designs.
If you're a shorter woman, steer away from horizontal, wide stripes, which can make you look squatty, opting instead for vertical or diagonal stripes.
The original dress was made of silk, fell just below the knee, with a slash neck, straight cut and diagonal pin-tucks.
The V-neck, diagonal design and flowing skirt all look good on just about any body type.
The bishop moves on the diagonal any number of spaces it desires in one direction.
The only squares that pawns can attack are the two squares directly diagonal to the current square the pawn occupies.
A king can move either forward or backward in a diagonal direction.
The queen is allowed to move across multiple squares in either a diagonal or straight direction.
The bishops can move across multiple game squares in a diagonal direction.
One unique ring they offer is the Trinny, which has three stones of equal size, set at a diagonal on a contemporary band style.
With diagonal zippers and large Velcro pockets, this easily accessible bag is perfect for parents on the go.
The TFDVD3295 is 32-inch diagonal with an LCD resolution of 720P.
Available in black or brown suede, the Canaan has a unique diagonal side zipper.
Begin working in a diagonal direction and insert the lace in the next hole on the opposite side of your shoe.
The lacing actually begins in the second to last eyelet, then utilizes an intricate pattern of vertical bar, then a diagonal, then swooping down and under the previous lace and forming another diagonal to create the web.
Runners may use a lace lock method, looping laces under a vertical bar, using several diagonal criss-crosses near the top of the shoe, or looping the laces around themselves for the final tie to create lacing that is very secure and tight.
Spider Web Lacing: This is similar to Ladder Lacing, but the middle section is diagonal rather than horizontal.
It is given in inches, and is the diagonal measurement of a screen.
Diagonals: Pretend you are making one diagonal line with your arms.
When the needllepoint artist makes a long, diagonal stitch across two squares, it is known as a slanted gobelin.
The third attachment point takes a single diagonal fixed belt or inertia reel extension but not a harness with straps over both shoulders.
The side walls are timber framed with four large panels per bay and curved diagonal braces at the ends.
Height 5ft 5¼ ins - ruddy complexion, brown hair, hazel eyes, nose inclined to left, diagonal scar on left eyebrow.
A diagonal matrix D which takes all image colors into the canonical gamut is a solution to the color constancy problem.
STEP PIVOT 1 / 4 TURN right 17 18 Step right foot forward on a right diagonal.
diagonal stripes with smaller gold stripes.
diagonal braces, on front of house.
The diagonal sides of the irregular octagon are not indicated.
It has diagonal stripes of three different colors.
There are two sets of diagonal muscles called obliques that criss-cross one another, and work by twisting the torso.
To achieve it, use a strip of tape to create a diagonal line.
While a traditional zebra stripe can be created with diagonal stripes, you can vary the width and angle of your zebra art to create a distinctive and unique look.
Constructed in this way, the successive diagonal rows, commencing with the first, give the figurate numbers of the first, second, third,.
Thus if a lacquer box in the form of a parallelogram is the object, Japanese artists will not divide it in two equal parts by a perpendicular line, but by a diagonal, as offering a more pleasing line and division.
It is an advance on this when Heraclitus 2 opposes to the eyes and ears which are bad witnesses " for such as understand not their language " a common something which we would do well to follow; or again when in the incommensurability of the diagonal and side of a square the Pythagoreans stumbled upon what was clearly neither thing nor image of sense, but yet was endowed with meaning, and henceforth were increasingly at home with symbol and formula.
The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.