triangle

For when a triangle "moves," the points do not move with it.

6453His shoulders and hips formed a triangle that rippled with movement.

6257The district of Bugey occupies the triangle formed by the Rhone in the south-east of the department.

6157Its form is approximately that of an isosceles triangle, with the sharp angle extending into Lower California, W.

3433projected on to the plane of the triangle as Ee, E'e and E"e.

3033A triangle is a rectilineal figure; i.e.

2827In plan it is a triangle, protected by a double moat, and has round towers at the angles.

2733We reach similar conclusions when we recognize that the laws of nature are general or hypothetical; not in Mill's sense (" If you had such a non-existent thing as three perfectly straight lines united in a triangle "), but in a sense noted in F.

2629To 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.

2319Since the potential rises proportionately to the quantity in the conductor, the ends of these ordinates will lie on a straight line and define a triangle whose base line is a length equal to the total quantity Q and V height a length equal to the final potential V.

1920This triangle, for the convenience of calculation, we divide into two right-angled triangles.

1819If the section of the finished tube is to be a triangle, with the enamel and bore at the base, the molten mass is pressed into a V-shaped mould before it is pulled out.

1822The Treaty of Trianon satisfied the most essential claims of Yugoslavia, by dividing the whole Banat (save a small Magyar triangle opposite the city of Szeged) between her and Rumania, and by assigning to her the whole Backa (except Baja and district), part of the Baranya (forming the angle between Drave and Danube) and the Medjumurje (between Drava and Mur).

1722She stopped in front of a small mural depicting a triangle with a form at each of the points.

1621quadrilaterals, hexagons, &c., all of which are rectilineal figures, a triangle is "differentiated" as having three sides.

1514the order in which they occur in the triangle) round a circle.

1520If there were such a thing as a triangle contained by absolutely straight lines, its three angles would no doubt measure what Euclid says; but straight lines and true triangles nowhere exist in reruns natura.

1218(iii) Right-angled triangle: sides a and b, enclosing the right angle.

1010For fuller discussion reference should be made to Geometry and Trigonometry, as well as to the articles dealing with particular figures, such as Triangle, Circle, &C.

1013If both places have the same latitude we have to deal with an isosceles triangle, of which two sides and the included angle are given.

1014In somewhat sensational and affected but prophetic words Gaj compared Illyria to a lyre, " a triangle between Skutari, Varna and Villach.

1015The northern part of Natal presented two faces of a triangle to the two enemies, the short base being formed by the Tugela river.

912Close to the head of the triangle at Dundee and Glencoe was posted a small British force under Major-General Sir W.

913If now we cut the freezing-point surface by planes parallel to the base ABC we get curves giving us all the alloys whose freezing-point is the same; these isothermals can be projected on to the plane of the triangle and are seen as dotted lines in fig.

913Thus the C.P. of a rectangle or parallelogram with a side in the surface is at a of the depth of the lower side; of a triangle with a vertex in the surface and base horizontal is 4 of the depth of the base; but if the base is in the surface, the C.P. is at half the depth of the vertex; as on the faces of a tetrahedron, with one edge in the surface.

812The sides of the triangle slope down abruptly towards the west, more gradually towards the east; at the base stands the cone of Ayala Hill, the last outpost of the Rudnik Mountains, which extend far away to the south; and, at the apex, a cliff of Tertiary chalk, 200 ft.

814In E'; the case of a parallelogram, the equivalent right,, trapezium is a rectangle; in the case of a triangle, Al it is a right-angled triangle.

7108) be an equilateral triangle, the angular points corresponding to the three pure metals A, B, C. C Then the composition of any alloy can be FIG.

711" a triangle is a three-sided rectilineal figure."

711From this triangle they harried the French communications with Berlin, and to secure a winter's rest for his men Napoleon determined to bring them to action.

712The French army was thus disposed almost in an equilateral triangle with sides of about 570 m., with 95,000 men at the apex at Moscow opposed to 120,000, 30,000 about Brest opposite ioo,000, and 17,000 about Drissa confronted by 40,000, whilst in the centre of the base at Smolensk lay Victor's corps, about 30,000.

712Take any two arbitrary directions in the plane of the paper, and draw a small isosceles triangle abc, whose sides are perpendicular to the two directions, and consider the equilibrium of a small triangular prism of fluid, of which the triangle is the cross section.

712Triangle and cymbals.

725(v) Triangle: one side a, distant h from the opposite angle.

68If the latitudes differ, we have to solve an oblique-angled spherical triangle, of which two sides and the included angle are given.

69Inside an equilateral triangle, for instance, of height h, - 2Ra/3y/h, (8) where a, 13, y are the perpendiculars on the sides of the triangle.

69Since, however, the steppe edge on the east is somewhat indefinite, some early Moslem and other geographers have included all the Hamad in Syria, making of the latter a blunt-headed triangle with a base some 700 m.

59the big drum, cymbals and triangle, was used by Haydn in his Military Symphony, and Mozart in his Entfilhrung, for reasons of "local colour"; it appears as an extreme means of climax in the finale of Beethoven's 9th symphony.

510Two lines may be drawn from this point, one to each of the two rails, in a plane normal to the rails, and the ends of these lines, where they meet the rails, may be joined to complete a triangle, which may conveniently be regarded as a rigid frame resting on the rails.

510He has little to say of the inner history and policy of the kingdom of Theodoric: his interests lie, as Mommsen says, within a triangle of which the three points are Sirmium, Larissa and Constantinople.

510If now we wish to represent the variations in some property, such as fusibility, we determine the freezing-points of a number of alloys distributed fairly uniformly over the area of the triangle, and, at each point corresponding to an alloy, we erect an ordinate at right angles to the plane of the paper and proportional in length to the freezing temperature of that alloy.

510A scalene triangle abc might also be employed, or a tetrahedron.

522If, for instance, the data for the triangle are sides a and b, enclosing an angle C, the area is lab sih C.

46It is in this book that Hero proves the expression for the area of a triangle in terms of its sides.

47The C.P. of water lines passing through a fixed point lies on a straight line, the antipolar of the point; and thus the core of a triangle is a similar triangle of one quarter the size, and the core of a parallelogram is another parallelogram, the diagonals of which are the middle third of the median lines.

47One of these areas is defined by the three fortresses, La Fre, Laon and Reims, the other by the triangle, LangresDijonBesancon.

49In general outline it is an irregular triangle, with apex at Cape Guardafui.

49The marching band had one percussion player who played the triangle.

30the hypothetical radicals of acids, were denoted by squares enclosing the initial letter of the base; an alkali was denoted by a triangle, and the particular alkali by inserting the initial letter.

37Bennigsen, now commanding the whole Russian army which with Lestocq's Prussians amounted to 100,000, also moved into winter quarters in the triangle Deutsch-Eylau-Osterode-Allenstein, and had every intention of remaining there, for a fresh army was already gathering in Russia, the 1st corps of which had reached Nur about 50 m.

37Pascal treated these numbers in his Traite du triangle arithmetique (1665), using them to develop a theory of combinations and to solve problems in proba-, bility.

37Turning, therefore, to a globe, Asia, viewed as a whole, will be seen to have the form of a great isosceles spherical triangle, having its north-eastern apex at East Cape (Vostochnyi), in Bering Strait; its two equal sides, in length about a quadrant of the sphere, or 6500 m., extending on the west to the southern point of Arabia, and on the east to the extremity of the Malay peninsula; and the base between these points occupying about 60° of a great circle, or 4 500 m., and being deeply indented by the Arabian Sea and the Bay of Bengal on either side of the Indian peninsula.

38Its superficial extent is seen when the folds covering the shell are cut away and the shell removed; the external surface forms a triangle with its base bordering the pericardium, and its apex directed posteriorly and reaching to the lefthand posterior corner of the shell-chamber.

38The cities of Shanghai, Hangchow and Suchow form the three points of a triangle, each being connected with the other by canal, and trade is now open by steam between all three under the inland navigation rules.

39In the case of the triangle, for instance, b is zero, so that the area is lha.

39The kasbah forms the apex of a triangle of which the quays form the base.

313It may be asked, Why can God not create a triangle whose three angles shall not be equal to two right angles?

316In the triangle FDC, let FD be tangent to the curvelFC vertical, and Dqhorizontal; these three sides will necessarily be proportional respectively.to_the FIG.

21A third reflecting plate is sometimes employed, the cross-section of the three forming an equilateral triangle.

10If you look at the chart you can see that the champagne glass forms a triangle with the two wine glasses.

10Even though you can find the same shape tops that mimic adult bathing suit tops (such as triangle or halter), you'll generally find full coverage bottoms, and this is important.

10Surprisingly, Fred O'Connor, arch fan of any hint of mystery, remained uninterested in the Donald Ryland-Edith Shipton-Jerome Shipton triangle.

11The problem then resolves itself in the solution of a spherical triangle.

00So what is it that keeps unaltered in the moving triangle ?

00(to) Integrating over the base, to obtain one-third of the kinetic energy T, 3T = 2 pf '3 4R2(3x4-h4)dx/h 3 = pR2h4 / 1 35 V 3 (II) so that the effective k 2 of the liquid filling the trianglc is given by k 2 = T/Z p R 2 A = 2h2/45 = (radius of the inscribed circle) 2, (12) or two-fifths of the k 2 for the solid triangle.

00the lateral) faces being a triangle with an angular point in one end of the figure and its opposite side in the other.

00Hence area of triangle ACB = twice area of triangle aTb.

00Repeating the process with the arcs AC and CB, and continuing the repetition indefinitely, we divide up the required area and the remainder of the triangle ATB into corresponding elements, each element of the former being double the corresponding elements of the latter.

00Hence the required area is double the area of the remainder of the triangle, and therefore it is two-thirds of the area of the triangle.

00If we draw a line at right angles to TCV, meeting TCV produced in M and parallels through A and B in K and L, the area of the triangle ATB is KL.

00to) than the area of the trapezium Kabl by two-thirds of the area of the triangle ATB (§ 34).

00constructing 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.

00Nask and Kamna) within the triangle they form.

00The Russians, then, at the beginning of June, were divided into three groups, the Southern, or offensive group (3 5,000), in the triangle Neuchwang-Haicheng-Kaiping; the Eastern or defensive group (30,000), the main body of it guarding the passes right and left of the Wiju-Liao-Yang road, the left (Cossacks) in the roadless hills of the upper Aiho and Yalu valleys, the right (Mishchenko's Cossacks and infantry supports) guarding Fenshuiling pass and the road from Takushan; the reserve (42,000) with Kuropatkin at Liao-Yang; the " Ussuri Army " about Vladivostok; and Stessel's two divisions in the Kwantung peninsula.

00For the position shown the distribution of bending moment due to W 1 is given by ordinates of the triangle 000 A'CB'; that due to W2 by ordin al, W, WW1 W„ ates of A'DB'; and that due to W3 by ordinates of A EB'.

00The total moment at WI, due to three loads, is the sum mC-Fmn--Emo of the intercepts which the triangle sides cut off from the vertical under W 1.

00Then the triangle YXE is the reciprocal FIG.

00The most considerable areas over 3000 fathoms are the Aldrich deep, an irregular triangle nearly as large as Australia, situated to the east of New Zealand, in which a sounding of 5155 fathoms was obtained by H.M.S.

00The territory occupied by the Basque Provinces forms a triangle bounded on the west and south by the provinces of Santander, Burgos and Logrono, on the east by Navarre, on the north by France and the Bay of Biscay.

00The triangle is here an irregular one, consisting of a narrow base to which one end of the string was fixed, while the second side, forming a slightly obtuse angle with the base, consisted of a wide and slightly curved sound-board pierced with holes through which the other end of the strings passed, being either knotted or wound round pegs.

00The third side of the triangle was formed by the strings themselves, the front pillar, which in modern European harps plays such an important part, being always absent in these early Oriental instruments.

00The island of Kotlin, or Kettle (Finn., Retusari, or Rat Island) in general outline forms an elongated triangle, 72 m.

00(I) the North Atlantic division~down to New Jersey and Pennsylvania; (2) the South Atlantic divisionfrom Delaware to Florida (including West Virginia); (3) the North Central divisionincluding the states within a triangle tipped by Ohio, Kansas and North Dakota; (4) the South Central division -covering a triangle tipped by Kentucky, Alabama and Texas; and (5) the Western divisionincluding the Rocky Mountains and Pacific states.

00The iron-producing area of the country may be divided, with regard to natural geographic, historic and trade considerations, into four districts: (1) the Lake Superior district, embracing the states of Minnesota, Michigan and Wisconsin; (2) the southern district, embracing the triangle tipped by Texas, Maryland and Georgia; (3) the northern district, embracing the triangle tipped by Ohio, New Jersey and Massachusetts, plus the states of Iowa and Missouri; (4) the western district, which includes the states of the Rocky Mountain region and Pacific coast.

00In various systems of triangular co-ordinates the equations to circles specially related to the triangle of reference assume comparatively simple forms; consequently they provide elegant algebraical demonstrations of properties concerning a triangle and the circles intimately associated with its geometry.

00It may be shown to be the locus of the vertex of the triangle which has for its base the distance between the centres of the circles and the ratio of the remaining sides equal to the ratio of the radii of the two circles.

00Since the area of a circle equals that of the rectilineal triangle whose base has the same length as the circumference and whose altitude equals the radius (Archimedes, KIKXou A ir, prop.i), it follows that, if a straight line could be drawn equal in length to the circumference, the required square could be found by an ordinary Euclidean construction; also, it is evident that, conversely, if a square equal in area to the circle could be obtained it would be possible to draw a straight line equal to the circumference.

006, ABC is an isosceles triangle right D FIG.

00It is easily shown that the areas of the lune Adbea and the triangle ABC are equal.

007, ABC is any triangle 1 Eisenlohr, Ein math.

00right 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.

002-}-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.

00The base of the triangle is upward, and at each lateral angle one of the Fallopian tubes opens.

00Hawaii Island, from which the group and later the Territory was named, has the shape of a rude triangle with sides of 90 m., 75 m.

00p. 157); (2) the angles at the base of an isosceles triangle are equal (Id.

0025) that he perfected the things relating to the scalene triangle and the theory of lines.

0024, that he was the first person to describe a right-angled triangle in a circle.

00To the former belong the theorems (t), (2), and (3), and to the latter especially the theorem (4), and also, probably, his solution of the two practical problems. We infer, then, [t] that Thales must have known the theorem that the sum of the three angles of a triangle are equal to two right angles.

0032 was first proved in a general way by the Pythagoreans; but, on the other hand, we learn from Geminus that the ancient geometers observed the equality to two right angles in each kind of triangle - in the equilateral first, then in the isosceles, and lastly in the scalene (Apoll.

00Beta (13) iron, an unmagnetic, intensely hard and brittle allotropic form of iron, though normal and stable only in the little triangle GHM, is yet a state through which the metal seems always to pass when the austenite of region 4 changes into the ferrite and cementite of regions 6 and 8.

00in the triangle between Catania, Nicolosi and Acireale.

00" It is from the idea of a triangle that we discover the relation of equality which its three angles bear to two right ones; and this relation is invariable, so long as our idea remains the same " (i.

00The properties of this individual subject, the idea of the triangle, are, according to him, discovered by observation, and as observation, whether actual or ideal, never presents us with more than the rough or general appearances of geometrical quantities, the relations so discovered have only approximate exactness.

00BAY OF BENGAL, a portion of the Indian Ocean, resembling a triangle in shape, lying between India and Burma.

00These two mountain ranges unite at their northern extremities with the Vindhya chain of mountains, and thus is formed a vast triangle supporting at a considerable elevation the expanse of table-land which stretches from Cape Comorin to the valley of the Nerbudda.

00It appears that Pascal contemplated publishing a treatise De aleae geometria; but all that actually appeared was a fragment on the arithmetical triangle (Traite du triangle arithmetique, " Properties of the Figurate Numbers"), printed in 1654, but not published till 1665, after his death.

00The Piedmontese company takes over from the government the control of all the irrigation within a triangle between the left bank of the Po and the right bank of the Sesia.

00It also follows that a line half-way between a point and its polar and parallel to the latter touches the parabola, and therefore the lines joining the middle points of the sides of a self-conjugate triangle form a circumscribing triangle, and also that the ninepoint circle of a self-conjugate triangle passes through the focus.

00Expressing this condition we obtain mb = 1/ nc = o as the relation which must hold between the co-efficients of the above equation and the sides of the triangle of reference for the equation to represent a parabola.

00Try = o to be a parabola is lbc+mca+nab = o, and the conic for which the triangle of reference is self-conjugate la 2 +143 2 +n7 2 =o is a 2 inn--+b 2 nl+c 2 lm=o.

00It is a large triangle, having its corners at Jenin, Jebel et-Tur, and the outlet of the Wadi Mukatta`, by which last it communicates with the sea-coast.

00Its form is that of a great triangle, with its base resting upon the Himalayan range and its apex running far into the ocean.

00The length of India from north to south, and its greatest breadth from east to west, are both about 1900 m.; but the triangle tapers with a pear-shaped curve to a point at Cape Comorin, its southern extremity.

00The other two sides of the elevated southern triangle are known as the Eastern and Western Ghats.

00The drift went on until April 9 1916 when the floe, reduced to a triangle zoo yds.

00Deduction is analysis when it is regressive from consequence to real ground, as when we start from the proposition that the angles of a triangle are equal to two right angles and deduce analytically that therefore (i) they are equal to equal angles made by a straight line standing on another straight line, and (2) such equal angles are two right angles.

00Deduction is synthesis when it is progressive from real ground to consequence, as when we start from these two results of analysis as principles and deduce synthetically the proposition that therefore the angles of a triangle are equal to two right angles, in the order familiar to the student of Euclid.

00A formula such as the equality of the interior angles of a triangle to two right angles is only scientifically known when it is not of isosceles or scalene triangle that it is known, nor even of all the several types of triangle collectively, but as a predicate of triangle recognized as the widest class-concept of which it is true, the first stage in the progressive differentiation of figure at which it can be asserted.° Three points obviously need development, the nature of definition, its connexion with the syllogism in which the middle term is cause or ground, and the way in which we have assurance of our principles.

00It should be added that the proper names in the inscriptions show the regular Italic system of gentile nomen preceded by a personal praenomen; and that some inscriptions show the interesting feature which appears in the Tables of Heraclea of a crest or coat of arms, such as a triangle or an anchor, peculiar to particular families.

00Nicaragua forms an irregular equilateral triangle with its base stretching for 280 m.

00(a) In 1880 was discovered between the Quirinal and Viminal hills a little earthenware pot of a curious shape, being, as it were, three vessels radiating from a centre, each with a separate mouth at the top. 6 Round the sides of the triangle formed by the three vessels and under the mouths runs an inscription of considerable length.

00At Corchiano itself, however, similar walls may be traced, and the site is a strong and characteristic one - a triangle between two deep ravines, with the third (west) side cut off by a ditch.

00the particular case of three forces it reduces to the triangle of forces, viz.

00If three forces acting on a particle are represented as to magnitude and direction by the sides of a triangle taken in order, they are in equilibrium.

00if three forces acting on a particle be in equilibrium, and any triangle be constructed whose sides are respectively parallel to the forces, the magnitudes of the forces will be to ope another as the corresponding sides of the triangle.

00The relations between this force P, the gravity W of the body, and the reaction S of the plane are then determined by a triangle of forces HKL.

00The relation between the three forces acting on any particle, viz, the extraneous force and the tensions in the two adjacent portions of the string can be exhibited by means of a triangle of forces; and if the successive triangles be drawn to the same scale they can be fitted together so as to constitute a single force-diagram, as shown in fig.

0016) represent the two forces, AD their resultant; we have to prove that the sum of the triangles OAB, OAC is D equal to the triangle OAD,

00to the sides of a triangle at the middle points will be in equilibrium provided they are proportional to the respective sides, and act all inwards or all outwards.

00Thus if the three lines form a triangle ABC, and if the given force F meet BC in H, then F can be resolved into two components acting in HA, BC, respectively.

00Hence in trilinear co-ordinates, with ABC as fundamental triangle, its equation is Pa+Q/1+R7=o.

00The two diagrams being supposed constructed, it is seen that each of the given systems of forces can be replaced by two components acting in the sides of the funicular which meet at the corresponding vertex, and that the magnitudes of these components will be given by the corresponding triangle of forces in the force-diagram; thus the force 1 in the figure is equivalent to two forces represented by 01 and 12.

00The consequent displacement of any point P will then be at right angles to the plane PAB, its amount will be represented by double the area of the triangle PAB, and its sense will depend on the cyclical order of the letters P, A, B.

00The two forces at B will cancel, and we are left with a couple of moment P.AC in the plane AC. If we draw three vectors to represent these three couples, they will be perpendicular and proportional to the respective sides of the triangle ABC; hence the third vector is the geometric sum of the other two.

00Hence these three forces will be concurrent, and their ratios wifi be given by a triangle of forces.

00Since PNS is a triangle of forces for the portion AP of the chain, we have wx/To=PN/NS, or yW.Xu/2T5, (14)

00be situate at the vertices of a triangle ABC, the mass-centre of ~ and y is at a point A in BC, such that ~.

00It possesses thi property that the radius of gyration about any diameter is half thi distance between the two tangents which are parallel to that diameter, In the case of a uniform triangular plate it may be shown that thi momental ellipse at G is concentric, similar and similarly situatec to the ellipse which touches the sides of the triangle at their middle points.

00Relations between Polygons of Loads and of Resistances.In a structure in which each piece is supported at two joints only, the well-known laws of statics show that the directions of the gross load on each piece and of the two resistances by which it is supported must lie in one plane, must either be parallel or meet in one point, and must bear to each other, if not parallel, the proportions of the sides of a triangle respectively parallel to their directions, and, if parallel, such proportions that each of the three forces shall be proportional to the distance between the other two,all the three distances being measured along one direction.

00Then from the proportionality and parallelism sides of a triangle, there results the following of the load and the two resistances applied to each piece of the structure to the three theorem (originally due to Rankine): If from the angles of the polygon of loads there be drawn lines (Ri, R2, &c.), each of which is parallel to the resistance (as Pi F2, &c.) exerted FIG.

00Should K be inconveniently far off, draw any triangle with its sides respectively parallel to CiT~, CiT2 and TiTi; the ratio of the twiJ sides first mentioned will be the velocity ratio required.

00and if these ends be not in one straight line with that axis, then S, L R, and L+R, are the three sides of a triangle, having the angle opposite S at that axis; so that, if 0 be the supplement of the arc between the dead-points, Si=2(L2+Ri)_2(Li_R~ cos0,)

00The ventral side of the body in the atrial region is broad and convex, so that the body presents the appearance of a spherical triangle in transverse section, the apex being formed by the dorsal fin and the angles bordered by two hollow folds, the metapleural folds, each of which contains a continuous longitudinal lymph-space, the metapleural canal.

00The Mesozoic beds form an irregular triangle extending from Lisbon and Torres Novas on the south to Oporto on the north.

00For if in the triangle abc the side ab is taken so as to represent on a given scale the tension of the surface of contact of the fluids a and b, and if the other sides be and ca are taken so as to represent on the same scale the tensions of the surfaces between b and c and between c and a respectively, then the condition of equilibrium at 0 for the corresponding tensions R, P and Q is that the angle ROP shall be the supplement of abc, POQ of bca, and, therefore, QOR of cab.

00If no one of these tensions is greater than the sum of the other two, the drop will assume the form of a lens, the angles which the upper and lower surfaces of the lens make with the free surface of A and with each other being equal to the external angles of the triangle of forces.

00But when the surface-tension of A exceeds the sum of the tensions of the surfaces of contact of B with air and with A, it is impossible to construct the triangle of forces, so that equilibrium becomes impossible.

00If the three fluids can remain in contact with one another, the sum of any two of the 3 quantities must exceed the third, and T 31 I by Neumann's rule the directions of the interfaces at the common edge must be parallel to the sides of a triangle, taken proportional to T12, T23, T31.

00If the above-mentioned condition be not satisfied, the triangle is imaginary, and the three fluids cannot rest in contact, the two weaker tensions, even if acting in full concert, being incapable of balancing the strongest.

00Marangoni, van der Mensbrugghe, Quincke, have all arrived at results inconsistent with the reality of Neumann's triangle.

00We are thus led to the important conclusion that according to this hypothesis Neumann's triangle is necessarily imaginary, that one of three fluids will always spread upon the interface of the other two.

00The following is Pettigrew's description of wings and wing movements published in 1867: " The wings of insects and birds are, as a rule, more or less triangular in shape, the base of the triangle being directed towards the body, its sides anteriorly and posteriorly.

00long, the total triangle.

00The base of the triangle runs from the South Foreland to Land's End W.

00It extends from the eastern extremity of Wiltshire in a widening triangle to the sea, which it meets along an irregular line from Deal to Cromer.

00The Hampshire Basin forms a triangle with Dorchester, Salisbury and Worthing near the angles, and the rim of Chalk to the south appears in broken fragments in the Isle of Purbeck, the Isle of Wight, and to the east of Bognor.

00along the line of 9° N., and resembles in shape a triangle with its apex to the north.

00The addition of the triangle west of that line-the so-called Platte Purchase-violated the Missouri Compromise.

00As the pressure of water is nil at the surface and increases in direct proportion to the depth, the overturning moment is as the cube of the depth; and the only figure which has a moment of resistance due to gravity, varying also as the cube of its depth, is a triangle.

00It 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.

00If the right-angled triangle abc, fig.

00thick 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.

00- Diagram of Right-Angled cubic feet of water, acting g at one-third its depth above Triangle Dam.

00of such a masonry triangle.

00If, therefore, the centre of that became so far removed to the right as to make j coincident with b, the diagram of stresses would become the triangle j'l'c', and the vertical pressure at the inner face would be nil.

00Thus the general curve of three bar-motion (or locus of the vertex of a triangle, the other two vertices whereof move on fixed circles) is a tricircular sextic, having besides three nodes (m = 6, 6 = 3+3+3, = 9), and having the centres of the fixed circles each for a singular focus; there is a third singular focus, and we have thus the remarkable theorem (due to S.

00A more generally accepted view - especially among palaeontologists - is the tritubercular theory, according to which the most generalized type of tooth consists of three cusps arranged in a triangle, with the apex pointing inwards in the teeth of the upper jaw.

00Each cusp of the primitive triangle has received a separate name, both in the teeth of the upper and of the lower jaw, while names have also been assigned to super-added cusps.

00In some instances the known relation is self- Intuition evident, as when we judge intuitively that acirclecannot and de- be a triangle, or that three must be more than two.

00sides, while a third forms a triangle with the S.E.

00Four thousand cubits to the east the great rampart was built "mountain high," which surrounded both the old and the new town; it was provided with a moat, and a reservoir was excavated in the triangle on the inner side of its south-east corner, the western wall of which is still visible.

00In Carew Triangle in the northern part of the city is a monument in honour of soldiers of the Spanish-American War.

00Moreover, the English territory, a great triangle, with the Channel for base and Paris for apex, was not a really solid position.

00The equilateral triangle is the basis of the tetrahedron, octahedron and icosahedron.'

00If three equilateral triangles be placed at a common vertex with their covertical sides coincident in pairs, it is seen that the base is an equal equilateral triangle; hence four equal equilateral triangles enclose a space.

00That the triangle could give rise to no other solid followed from the fact that six covertically placed triangles formed a plane.

00V = 3rA = 2 1 4 / 3 n F tan -II cot e a = 2 I 1 3 n F cot e a cos a/ (sin' a -cos t 13) 2 R =1-/ tan IT tan 0=1/ sin 13/(sin e a-cost r =Zl tan 21 cot a= Il cot a cos 13/(sin" a -cos' (3)L 1 In the language of Proclus, the commentator: " The equilateral triangle is the proximate cause of the three elements, ` fire,' ` air ' and ` water '; but the square is annexed to the ` earth.'

00(By the truncation of a vertex or edge we mean the cutting away of the vertex or edge by a plane making equal angles with all the faces composing the vertex or with the two faces forming the edge.) It is bounded by 4 triangular and 4 hexagonal faces; there are 18 edges, and 12 vertices, at each of which two hexagons and one triangle are covertical.

00The section made by a plane containing the axis and perpendicular to the base is a triangle contained by two generating lines of the cone and a diameter of the basal circle.

00Apollonius considered sections of the cone made by planes at any inclination to the plane of the circular base and perpendicular to the triangle containing the axis.

00The points in which the cutting plane intersects the sides of the triangle are the vertices of the curve; and the line joining these points is a diameter which Apollonius named the latus transversum.

00In Newton's method, two angles of constant magnitude are caused to revolve about their vertices which are fixed in position, in such a manner that the intersection of two limbs moves along a fixed straight line; then the two remaining limbs envelop a conic. Maclaurin's method, published in his Geometria organica (1719), is based on the proposition that the locus of the vertex of a triangle, the sides of which pass through three fixed points, and the base angles move along two fixed lines, is a conic section.

00What remains of this once powerful sultanate is a triangular-shaped territory, the base of the triangle being represented by 80 m.

00It stands on a platform forming an irregular triangle with sides about 3000 ft.

00Deidre moved towards the lake, away from the center of the triangle they formed.

00It was just the letter "a" in a highly abstracted form, a triangle.

00abstracted form, a triangle.

00Unlimited assault rifle ammunition: Hold L and press X, Circle, X, R, Square, Triangle during game play.

00Hiroshima mon amour (Hiroshima my Love, 1959) and Marienbad would be the other two connecting points in this triangle.

00apex of the triangle.

00The carapace is usually beige with a distinctive black triangle with the apex pointing toward the abdomen and the base toward the pedipalps.

00bifacial working along the edges of two sides of the triangle.

00place the red candleholder (with a tealight inside) in the center of the triangle of feathers.

00One possible layout is shown in the artist's reconstruction of the fort, showing the triangle as primarily ceremonial.

00cosine functions could have the same values that they had for the first triangle.

00Study environmental criminology Scan for crime problems 9. Use the crime triangle 10.

00equilateral triangle or square.

00Omega Centauri makes an almost equilateral triangle with these two stars on their western side.

00You should end up with a perfect triangle which totally encloses the filling.

00The black craft was a perfect triangle, with no jagged edges or visible rear tail fin.

00Imagine there is a triangle on the other person's forehead.

00Club Triangle had many musical genres to choose from for their party.

00wracked by guilt, Billie is now locked into a triangle - a kind of emotional Bermuda triangle of lost souls.

00heliocentric orbits, forming a triangle of 5 million km sides.

00hypotenuse of the triangle.

00Figure 6: next draw a similar triangle which has the hypotenuse 4.5 units long.

00Simulation with triangle input Unlike self-referenced logic, the transition has no hysteresis.

00illuminative approach adopted in the Triangle report the terms became almost impossibly cumbersome and confusing.

00As the Greek philanderer isosceles used to say, " There are 3 sides to every triangle " .

00isosceles triangle with a altitude drawn.

00Being either isosceles or scalene is inseparable from a triangle in real existence.

00Back to top Germany Vehicle Requirements: Warning triangle and first-aid kit.

00In our very latest work, " Marge " has mapped the whole Keble triangle.

00Part of the nearby Triangle car park may be used for bus layover to facilitate the development.

00In the femoral triangle the FV lies medial to the artery.

00mon amour (Hiroshima my Love, 1959) and Marienbad would be the other two connecting points in this triangle.

00The head viewed face on resembles a triangle tapering in straight lines to a fine muzzle.

00The light nape of neck to be confined to triangle behind ears and to be as small as possible color to match flanks.

00opium poppy cultivation in the Golden Triangle: Lao PDR, Myanmar, Thailand (UNODC, October 2006 ).

00Taking a look at the skinny star parallax triangle above and realizing that the triangle should be over 4,500 times longer (!

00Thus, any triangle of velocities could not direct a small passerine into our longitude.

00He tested this intuition using two-dimensional plane figures the triangle, square, pentagon, etc. but this didn't work.

00pyramid orchids were frequently seen in the central area known as the Triangle and are common all over the hill.

00reroutetech firms in North Carolina's Research Triangle weathered Hurricane Floyd after days of preparation and rerouting of important online traffic.

00resultant of two vectors using the vector triangle.

00right-angled triangle with the longest runway being aligned with the main direction of wind for the area.

00right triangle 3, 4, 5, right angle triangle on the clay tablet.

00scalene triangle.

00The only open aspect is the north side of the triangle, which looks out across a main road to Hackney Downs park.

00During this period she appeared in the short lived shipping soap opera " Triangle " .

00You have a little spaceship, a red triangle.

00Take a walk along the Leeds and Liverpool Canal towpath through the Weavers ' Triangle - a well preserved Victorian industrial townscape.

00On your keyboard press: Delete You should now have a right angled triangle.

00Finally, we get down to our first proposition: Proposition 1. On a given straight line to construct an equilateral triangle.

00Reflect, rotate and translate a triangle M5: Interactive transformation resource: drag the yellow triangle and watch the transformations.

00The class work on plain paper, drawing the triangle with the help of a protractor, then writing the commands below.

00The base of the equilateral triangle is the top of the wedge.

00The triangle was a right-angled triangle with the longest runway being aligned with the main direction of wind for the area.

00To see this, imagine an isosceles triangle with a altitude drawn.

00The introduction should have roughly the shape of an inverted triangle.

00There are many formulae relating the sides and angles of a spherical triangle.

00triangle inequality ).

00triangle symbol has been removed.

00triangle lounge a billboard in of great renown.

00If we are given a right-angle triangle of sides measuring 2 inches x 2 inches, what is the length of the Hypotenuse?

00A1casino Able to compete the Bermuda triangle trade commission says.

00You should place the warning triangle at least how far from your vehicle?

00The ' love triangle ' is taken up a notch.

00Radostin Kishishev was also given a breather from midfield with Hughes and Holland afforded the chance to impress in the midfield triangle and how.

00At the grass triangle we turned left along another country lane.

00upside down triangle (lit red at night ), are closed to all traffic.

00By way of example, how to draw a triangle: DRAW MOVE to first vertex.

00warning triangle in case of breakdowns.

00This consists of two books, and may be called the foundation of theoretical mechanics, for the previous contributions of Aristotle were comparatively vague and unscientific. In the first book there are fifteen propositions, with seven postulates; and demonstrations are given, much the same as those still employed, of the centres of gravity (I) of any two weights, (2) of any parallelogram, (3) of any triangle, (4) of any trapezium.

00(6) The Quadrature of the Parabola (Tetragonismos paraboles) is a book in twenty-four propositions, containing two demonstrations that the area of any segment of a parabola is a of the triangle which has the same base as the segment and equal height.

00Prouhet (1817-1867) in 1863, is somewhat analogous to the nine-point circle of a triangle.

00Leaving the right angle out of consideration, the sides including the right angle, the complement of the hypotenuse, and the complements of the other angles are called the circular parts of the triangle.

00Turning, therefore, to a globe, Asia, viewed as a whole, will be seen to have the form of a great isosceles spherical triangle, having its north-eastern apex at East Cape (Vostochnyi), in Bering Strait; its two equal sides, in length about a quadrant of the sphere, or 6500 m., extending on the west to the southern point of Arabia, and on the east to the extremity of the Malay peninsula; and the base between these points occupying about 60Ã‚° of a great circle, or 4 500 m., and being deeply indented by the Arabian Sea and the Bay of Bengal on either side of the Indian peninsula.

00In shape roughly resembling an equilateral triangle, with base uppermost, Bosnia and Herzegovina cover an area of 19,696 sq.

00(7) For example, in the equilateral triangle of (8) § 28, referred to coordinate axes made by the base and height, = -2 Ra,(3y/h= - 1.

00The following method, depending on the constancy of the sum of the perpendiculars from any point on to the sides of an equilateral triangle, can be adopted: - Let ABC (fig.

00The area of the triangle is thus divided into three regions.

00The element of work done in introducing the quantity of electricity dq at a potential v is represented by the element of area of this triangle (see fig.

00xi., Berlin, 188 7, p. 373) defines as a triangle formed by the Clanis (with the lakes of Chiusi and Montepulciano, both small, shallow and fever-breeding), on the E., the villages of Cetona, Sarteano, Castelluccio and Monticchiello on the W., and Montepulciano and Acquaviva on the N.

00Plato (Timaeus) described the figure in the following terms: - "The isosceles triangle which has its vertical angle a right angle.

00The distribution of bending moment is given by the ordinates of a triangle.

0067 c, select that in which the letters X and Y are so placed that (naming the apex of the triangle E) the lines XE and YE are the lines parallel to the two members of the same name in the frame (fig.

00In this article the equations to the more important circles - the circumscribed, inscribed, escribed, self-conjugate--will be given; reference should be made to the article Triangle for the consideration of other circles (nine-point, Brocard, Lemoine, &c.); while in the article Geometry: Analytical, the principles of the different systems are discussed.

00(3ferrite and austenite are the normal constituents for the triangle GHM, a-ferrite (i.e.

00The Peninsula in its general contour resembles an inverted pyramid or triangle, terminating at its apex in a subsidiary peninsula, the Peloponnesus or Morea.

00duced by euclidian methods from the definition include the following: the tangent at any point bisects the angle between the focal distance and the perpendicular on the directrix and is equally inclined to the focal distance and the axis; tangents at the extremities of a focal chord intersect at right angles on the directrix, and as a corollary we have that the locus of the intersection of tangents at right angles is the directrix; the circumcircle of a triangle circumscribing a parabola passes through the focus; the subtangent is equal to twice the abscissa of the point of contact; the subnormal is constant and equals the semilatus rectum; and the radius of curvature at a point P is 2 (FP) 4 /a 2 where a is the semilatus rectum and FP the focal distance of P.

00The orthocentre of a triangle circumscribing a parabola is on the directrix; a deduction from this theorem is that the centre of the circumcircle of a self-conjugate triangle is on the directrix ("Steiner's Theorem").

00The equation to a parabola in triangular co-ordinates is generally derived by expressing the condition that the line at infinity is a tangent in the equation to the general conic. For example, in trilinear co-ordinates, the equation to the general conic circumscribing the triangle of reference is 113y+mya+naf3=o; for this to be a parabola the line as + b/ + cy = o must be a tangent.

00Thus by combined induction and identification we apprehend that one and one are the same as two, that there is no difference between a triangle and a three-sided rectilineal figure, that a whole must be greater than its part by being the whole, that inter-resisting bodies necessarily force one another apart, otherwise they would not be interresisting but occupy the same place at the same moment.

00A formula such as the equality of the interior angles of a triangle to two right angles is only scientifically known when it is not of isosceles or scalene triangle that it is known, nor even of all the several types of triangle collectively, but as a predicate of triangle recognized as the widest class-concept of which it is true, the first stage in the progressive differentiation of figure at which it can be asserted.Ã‚° Three points obviously need development, the nature of definition, its connexion with the syllogism in which the middle term is cause or ground, and the way in which we have assurance of our principles.

00If we mark off a segment AB along the line of action so as to represent the force completely, the A moment is represented as to magni FIG 15 tude by twice the area of the triangle OAB, and the usual convention as, .o sign is that the area is to be reckoned positive or negative iccording as the letters 0, A, B, occur in counter-clockwise or clockwise order.

00along the line of 9Ã‚° N., and resembles in shape a triangle with its apex to the north.

00The form of stability having the least sectional area is therefore a triangle.

00If now we assume the water to have a depth d above the base, the total water pressure represented by the triangle kbh will have its centre at d/3 from the base, and by the parallelogram of forces, assuming the density of the masonry to be 2.5, we find that the centre of pressure upon the base bc is shifted from the centre of the base to a point i nearer to the outer toe c, and adopting our assumption of uniformly varying intensity of stress, the rectangular diagram of pressures will thus be distorted from the figure bfgc to the figure of equal area bjlc, having its centre o vertically under the point at which the resultant of all the forces cuts the base bc. For any lower level the same treatment may, step by step, be adopted, until the maximum intensity of pressure cl exceeds the assumed permissible maximum, or the centre of pressure reaches an assigned distance from the outer toe c, when the base must be widened until the maximum intensity of pressure or the centre of pressure, as the case may be, is brought within the prescribed limit.

00Pyramid Orchids were frequently seen in the central area known as the Triangle and are common all over the hill.

00High-tech firms in North Carolina 's Research Triangle weathered Hurricane Floyd after days of preparation and rerouting of important online traffic.

00Find the resultant of two vectors using the vector triangle.

00There is the 3, 4, 5, right angle triangle on the clay tablet.

00Lock four will be built in the triangle of rough grassland in the upper part of the view.

00On the other hand I could change my model into a scalene triangle.

00The illustration below shows the property sheet for a Draw Triangle action used as part of a sidewall core macro.

00During this period she appeared in the short lived shipping soap opera " Triangle ".

00People in the Elswick Triangle area will have just four days to spruce up the gardens in their neighborhood.

00Drum and triangle gently beat out a tattoo while Howe strums out the main melody.

00The Griffin Wind Farm proposal lies in the center of this 'golden triangle ' of superlative scenery.

00The triangle itself was known as a cocked hat after its resemblance to the common three-cornered hat of the times.

00Distance metrics Any measure that we use should be a distance metric (non-negative, symmetric and respecting triangle inequality).

00Children: all suspected adverse drug reactions in children should be reported even if the black triangle symbol has been removed.

00When south dakota the triangle lounge a billboard in of great renown.

00A1casino Able to compete the bermuda triangle trade commission says.

00Arches of bridges which carry an upside down triangle (lit red at night), are closed to all traffic.

00You should carry a warning triangle in case of breakdowns.

00Arrange 10 baby bottles in a triangle shape, and have each guest "bowl" with a small ball.

00Attach it in the way that the existing pieces are already attached so that it matches (for example, pieces are often folded over at the ends in a triangle shape to give it a clean and finished look).

00Affix it in the way that the existing pieces are already attached so that it matches (for example, pieces are often folded over at the ends in a triangle shape to give it a clean and finished look).

00Raleigh, and the surrounding areas of Durham and Chapel Hill (known as "The Triangle" to locals), is home to many international pharmaceutical companies, in its famous Research Triangle Park.

00A triangle or kidney shape made compact and interesting vanities.

00The work triangle is a design principal that helps create an efficient layout of space.

00A kitchen designed by using the work triangle should be easy to navigate while completing common kitchen chores.

00When creating a kitchen island design, you want to preserve the original work triangle, while also adding another work triangle to the space.

00In most kitchens the refrigerator designates this corner of the triangle.

00A larger kitchen may also have a pantry that creates a separate work triangle.

00Mark where each corner of the existing kitchen work triangle is located.

00Check to see how the components that will be added by building an island will affect the work triangle.

00If a small prep sink is added to wash produce, for example, make sure that there is a clear work triangle that links the prep sink to the refrigerator and to the range.

00Place lamps in a triangle across the room.

00Kitchens function best when the sink, oven and refrigerator are laid out in a triangle design.

00Complement a contemporary kitchen with a triangle shaped island accented with a sleek stainless steel surface and an ecoglass tiled backdrop.

00L-Shaped - L-shaped kitchens are very popular because they create the ideal work triangle.

00It makes the most of the classic work triangle.

00Two of the most popular of these were the diamond shape and the triangle shape.

00A triangle layout works best when created between the refrigerator, sink and range (cooktop).

00The planner also allows you to map the "work triangle" of the room, or the points between the sink, cooktop and refrigerator.

00Mapping the work triangle ensures you are able to organize your kitchen efficiently so that you can move quickly and efficiently between these three points.

00For the cats nose, paint a small upside triangle on top of the black face in any accent color.

00Finally, place small children standing at the bottom of the photograph to create a triangle shape.

00This forms a figure similar to the triangle pose, but is much less formal.

00Triangle: This pose works very well if you have a prominent member of the group who can serve as the center of the photo.

00To complete the pose, arrange young children at the bottom to create a triangle shape.

00Then the chef takes a few sheets of the pre-made puff pastry and cuts them into 3-inch squares and places a few tablespoons of the sweet potato mixture in one corner of the pastry, folding the pastry over to form a filled triangle.

00Using a fork, the cook seals the triangle and bakes them at 350 degrees Fahrenheit until they are golden brown.

00He returns it to the owner, only to find himself caught up in a bi-sexual love triangle.

00Several Pittsburgh schools offer associate degree programs, including the Pittsburgh Technical Institute, Bradford School, Triangle Tech, the Art Institute of Pittsburgh, and DeVry University.

00Triangle Tech offers technical degrees, diplomas, and associate degree programs in Pittsburgh.

00In addition to its Pittsburgh campus, Triangle Tech has schools in Erie, Bethlehem, DuBois, Sunbury, and Greensburg.

00The washer and dryer is a Bermuda Triangle for guitar picks as well, and sometimes picks just seem to vanish into thin air!

00Be sure to check out their versions of hit Weezer tabs like B Butterfly, Keep Fishin and Pink Triangle.

00The top and bottom edges are beveled (cut at 45-degrees) so both parts lie flat against the wall and ceiling to form a 90-degree triangle.

00Wear swim shorts in conjunction with almost any type of top, whether a triangle bikini top or a one-piece maillot.

00A Body Type system also suggests which suits are best for different body shapes, whether you're a triangle, hourglass, rectangle or circle.

00For body type, you can choose triangle; hourglass; inverted triangle; rectangle or circle, making a nice change from the usual apples and pears.

00Whether you are an hourglass, triangle (or pear), oval (apple) or inverted triangle, they can guide you directly to the clothes that will fit and flatter you the best.

00Is your body more of an apple or triangle?

00On occasion, an elderly person may want to play a simple instrument, such as a tambourine or a triangle, to the music.

00Triangle face shapes tend to have narrow jaws coupled with a wide forehead.

00Bermuda Triangle: A set of three twisting slides for single or double rider inner tubes.

00During a game, hold L1 + R1 + Triangle + Square + Circle + X, then press L2.

00Left, Square, Square, Square, Triangle, Triangle, Triangle.

00L2, Left, R2, Left, Triangle, Square, Triangle, Square.

00Left, Right, Right, Left, Left, Right, Right, Left, Triangle, Triangle.

00Ignore the instructions and press X + Square + Triangle + Circle over and over to earn 500 points or more.

00Now you can hit the Triangle to back out and you're returned to the song selection screen, ready to choose another song...by chance if you desire.

00This will take you to the the color selection screen; once you are there, you can press Triangle.

00To unlock all the movies, hold L1 on any menu and hit Circle, Square, Triangle, Circle, Square.

00Make them more powerful by holding L1 on any menu and hitting Circle, Triangle, Circle, Triangle, X.

00Simply hold the triangle button and press the left analog stick away from you or forward.

00The standard button layout (X,O, Square, Triangle) on the right and a digital and analog pad on the left and a left and right shoulder button.

00While playing, hold the L3 button and press Circle, Circle, Square, Square, X, Triangle, then Triangle.

00This combat triangle works as a rock-paper-scissors game where each category is weak to one type and strong versus another.

00Use the fierce attack (triangle) to break the shields of armored enemies.

00To restore health - pause the game, then press L1 +L2 + R1 + R2 at the same time, then Triangle, Down, X, then Up.

00To get arrow refills - pause the game then press L1 +L2 + R1 + R2 at the same time and then Triangle, Up, X, then Down.

00Hold L1, then press X, R1, Triangle, R1, Square, L2.

00Hold L2, then press L1, Triangle, R1, Circle, L1, Square.

00Hold L2, then press Circle, Triangle, L1, R1, X, Circle.

00Hold L1, then press L2, X, Circle, X, Triangle, R1.

00Hold L2, then press X, Circle, X, L1, Square, Triangle.

00Hold L1, then press Triangle, X, Triangle, Square, L2, Circle.

00Hold L2, then press Triangle, X, Circle, R1, Triangle, L1.

00Hold L1, then press Square, Circle, X, L2, R1, Triangle.

00Whenever two members in the family system have problems with each other, they will "triangle in" a third member as a way of stabilizing their own relationship.

00PO Box 13827, Research Triangle Park, NC 27709.

00This forms a new triangle within the rectangle.

00You'll repeat this process with each candle placed within the rectangle to form a triangle with a Golden Ratio.

00The perfect human smile is created when the two front teeth recreate the Golden Rectangle of which you can create a Golden Triangle that in turn creates a Golden Ratio.

00If you want to construct a building using the Golden Ratio theory, you'll need to create a Golden or Divine Rectangle, Triangle or to use as the basis of your design and all subsequent angles thereafter.

00This line creates a triangle within the square.

00You should be able to take any Golden Rectangle or Golden Triangle building and divide the building into infinite rectangles and triangles.

00When the square base of the pyramid is halved and a vertical line drawn up the center, the slanted height forms a triangle that measures to the value of Phi.

00These rooms are sometimes called the feng shui triangle.

00Whereas some persons will prefer a little hair waxed off the sides and top, others may opt for a more intense Brazilian wax, a technique that leaves a small triangle patch of hair.

00What started as a primitive form of an electric razor, shavers by Norelco have evolved into many different models that all have three shaving heads positioned on the end of the shaver in a triangle formation.

00Shapes - It is important that your child know how to recognize basic shapes, such as a circle, square and triangle before beginning kindergarten.

00Turn the paper so the triangle's point is facing up.

00Fold the top corner of the triangle you've created down toward the baseline.

00Crease it well and unfold so you have the large triangle again.

00Fold the bottom left corner of the triangle up the end of the crease line you just made.

00Fold the two flaps forward and tuck them into the front triangle pocket.

00Bring the right corner of the triangle up and angle it so that it is toward the right of the top point, like a flower petal.

00Bring up the bottom left corner of the triangle.

00The basis of 3D origami is the triangle.

00Your paper should now look like a large triangle with an elongated rectangle at the bottom.

00Take the front piece of the elongated rectangle below the triangle and fold it up.

00Fold back the pieces of the rectangle that jut out over the sides of the triangle.

00