How to use triangles in a sentence

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Sentence Examples This requires that their underlying lattices be based on triangles, parallelograms, or hexagons. The types of shapes for which the area is calculated include triangles, rectangles, circles, trapeziums. Grouping wall decor in geometric shapes such as rectangles, triangles or circles adds interest. He arranges thin rectangles, squares, triangles and trapezoids in complex patterns on the wall. Depending on the plane of section, crystals may appear as triangles or other shapes in thin section. This emblem was like vertical rhomb or diamond with a horizontal line in the middle, or two triangles joined together. He produced a number of formulas for triangles, two sides of which were straight lines and the third was the arc of a circle. To calculate shape coordinates, the 23 triangles were translated, rotated, and rescaled relative to the baseline. We were given drums, triangles, maracas and tambourines to experiment with. These sawlike ridges are made up of equilateral triangles, but often they contain bent and irregular teeth. The asymmetrical triangles of water and dune give shape to the engulfing sand and sky. Amid all the rehearsals there are love triangles, back-stabbing, popular girls and a very unconvincing school playboy. When my brain was filled with verb tenses, right triangles and pulmonary veins, there was no room for personal thoughts. About a baker's dozen of large triangles compete for bowl space with a coconut-curry ragout. Draw 3 times smaller unilateral triangles, with their bases in the middle of each line of the first triangle. The most ornamental part of doors was their heads, which took on various shapes, including triangles, semicircles or arcs. A stationary front is denoted by semicircles and triangles on alternate sides of the front. This six-pointed star, made of two interlocking triangles, can be found on mezuzahs, menorahs, tallis bags, and kipot. In others, repeated square shapes mutate into stretched diamonds, triangles and irregular ovals. Wood blinds, meanwhile, can fit a variety of applications, including quarter arches, full arches, angles, trapezoids, hexagons and triangles. Show More Sentences For example, Angel consists of three layers of open triangles, trapezoids, parallelograms and pentagons, once again made of wood. Using these simple tools they could construct equilateral triangles and hexagons and they could bisect any angle. Cross-sections are in the shape of circles, ovals, squares, rectangles, equilateral triangles or regular polygons. Narayana gave the rules for the formation of doubly even, even and odd perfect magic squares along with magic triangles, rectangles and circles. The weather map symbol for a cold front is a blue line with triangles pointing the direction the cold air is moving. A cold front is shown by a line with blue triangles pointing in the direction the front is travelling. Cut the remaining slices into triangles or rectangles to cover the sides of the bowl. The ear ornaments in this collection are geometrically complex in design, combining squares, circles and triangles into single forms. The school's year four and five class got to work with drums, xylophones and triangles. One then could know a priori through the mentally instantiated property the features of triangles, which instantiate triangularity. I and others showed that any polygon could be triangulated with non-obtuse triangles. Could this 72-degree bound be achieved by a triangulation in which all triangles met edge to edge? The edges E are actually edges of future triangles, obtained by triangulation. Similar substitutions convert the first law of cosines for trihedrals into the law of cosines for the sides of spherical triangles. This describes the special relationship between the lengths of the sides of right-angle triangles. They vary from simple patterns, such as alternating checks, triangles, or diamonds, to complex combined motifs. These flying triangles aren't ready to bear the weight of their own motive energy source. How many diagonals are needed to divide a heptagon, a nonagon, and an undecagon into triangles? Primitive Pythagorean triangles are a bit like prime numbers in that every integer is either prime or a multiple of a prime. Since in a regular pyramid the triangles are all congruent, the slant heights are the same. Show More Sentences Cut the brioche into long triangles and arrange on a parchment-lined sheet pan. Most of the Mfengu designs of that period were lozenges, broken lines, triangles, and stripes. Using an offset spatula, spread the batter on a silpat-lined sheet pan to form 12 thin triangles. Geometric designs are created by piecing or patching together triangles, squares and rectangles. The most prominently stained sites are marked with triangles and numbered from distal to proximal to serve as landmarks. In the restaurant we stamp these into half-moons with a cutter but you can leave them as triangles if you like. Secondly, simple, geometric plans such as squares, triangles, and hexagons are common to the most dramatic of these examples. The hexagons, pentagons, and triangles that make up the biomes all have their own unique specification due to the irregular nature of the site. The capsule is roughly hexahedral and comprises six edge-sharing triangles with two metal ions on each edge. Other planes have triangles that represent mountains, eyes with lines and arrows coming out of them, sunbursts, and a couple of spirals. His vertical stripes have been put onto a slant, and whittled down to slender triangles or widened into parallelograms or pyramids. The three lines through the incircle and the circumcircle of the three triangles meet at a point. There are many topics covered in the book including a study of circles, triangles, geometric series, ellipses, parabolas and hyperbolas. The faces of the polyhedron appear to consist of two equilateral triangles and six somewhat irregular pentagons. In each of the three triangles pass a straight line through its incenter and circumcenter. The three lines through the incircle and the circumcircle of triangles AIB, BIC, and CIA meet at a point. In it, two pinwheels of triangles are set inside the curves of a large horizontal S shape. Everyone guffawed as they swiped the small bowls before them with triangles of pita bread. At times, representation segues into abstraction, as in the crags of the town quarry, which suggest constructivist triangles and squares. Codazzi also published on isometric lines, geodesic triangles and the stability of floating bodies. Show More Sentences Well each time we iterate the drawing process, we are adding 4 times as many triangles as before, and each of them is 3 times as small as before. They could frolic in the corner until the early hours, creating immaculate triangles which somehow keep their team in possession. As is fitting for such a mixed age occasion, tea, cucumber triangles and an impressive array of fondant fancies graced the dining room table. This survey collects together theoretical results in the area of numerical cubature over triangles and is a vehicle for a current bibliography. In the general case, the hexagon is no longer cyclic, but the triangles are still equal and centrally symmetric. The triangles of fabric are set in an over all pattern with the lights and darks playing against each other to show the prints to best advantage. Tick those triangles that are primitive and out a cross by those which are multiples. Make eyelet holes with a hole punch or scissors in the top left and right corners of both triangles. Draw two diagonal lines dividing the square and the rectangle into triangles. He imagined how a diagonal line cutting across a square would divide the square into two right triangles. A mathematical theorem about diagonals of rectangles might mention two equal and similar triangles which are, nonetheless, distinct. We challenge the reader with these observations of Pythagorean right triangles. Not all right triangles constructible in Euclidean geometry can be constructed in Pythagorean geometry. Generalizing the Pythagorean equation for triangles with integer sides to powers greater than 2 leads to Fermat's last theorem. The theorem thus implies existence of the total of 18 equilateral triangles. Even the clouds glimpsed in crevices between buildings above Wall Street are sliced into exiguous triangles. Tangrams consist of two small triangles, one medium triangle, a parallelogram and square, and two large triangles, equal to four small ones. The waitresses served sandwiches cut into triangles of white bread, and wore those black and white uniforms. Sidelights, warning triangles and first-aid kits are all legal requirements in many European countries. The weather map symbol for a cold front is a blue line with triangles pointing in the direction the cold air is moving. Show More Sentences In particular books one and two set out basic properties of triangles, parallels, parallelograms, rectangles and squares. Squares, rectangles, or triangles of fabrics were pieced together to form larger units. Some characters looked like geometric shapes, such as triangles. Subsequent chapters deal with such issues as computing volumes, the mathematics of taxation, square and cube roots, and calculations with right triangles. Theorems on concurrence of lines, segments, or circles associated with triangles all deal with three or more objects passing through the same point. But, by means of suitable constructions within the armillary sphere, they were able to reduce many of their problems to comparison of similar right-angled plane triangles. The first tabulates logarithms of the sine, cosine, tangent and cotangent functions at 1 intervals and shows how to solve triangles using logarithmic functions. Serve triangles of rye bread on the side, buttered if you must. Poetry is a sort of inspired mathematics, which gives us equations, not for abstract figures, triangles, spheres, and the like, but equations for human emotions. Blank production is the same as in the earlier assemblages technically, but among the microlith tools there are also trapezes and lunates in in addition to the triangles. The two pointed triangles are a common feature of Maasai beadwork. Consider the famous optical illusion of two identical lines where one has concave triangles at its edges whilst the other has convex triangles at either end. After looking at two-dimensional patterns made up of red and white squares and triangles, you have to reproduce these patterns using cubes with red and white faces. When the ratio is 1 then the similar triangles become congruent triangles. Now, both the original Asymmetric Propeller and Napoleon's theorem start with three equilateral triangles and discover the fourth one by construction. Outside, charpoys cradled drivers, some sleeping, others sitting cross-legged on the woven strings, scooping food on to triangles of chapati from tin plates and bowls. Furthermore, some mystics claim that if one stares at a small pentangle long enough one will see that all triangles end in a circle with five sides. A seasonal blood orange jelly with tiny triangles of orange flesh came quivering to the table with a satiny-smooth orange blossom ice cream just beginning to melt on top. There are some redeeming features, but thus far the show needs to ditch the schmaltzy love triangles and sensationalism and focus on character and story. They are marked by a pentagon with three overlapping triangles. Show More Sentences Weak corner joints may be braced with angle irons, and triangles of wood. Below lies the turquoise waters of the caldera, flecked with the white triangles of sailing boats. These various polygon shapes consist of, but are not limited to, triangles, squares, pentagons, hexagons, heptagons, octagons, nonagons, decagons, undecagons, and dodecagons. In contrast, triangles and quadrangles appear in the middle. Cut an 8x8 chessboard into two triangles and two quadrilaterals. Small deletions are indicated by hyphens and large deletions by triangles. Items which get stolen from council vehicles include jacks, rims, tyres, seats, engine parts, steering wheels, number plates, petrol caps and warning triangles. Some of the most common continuation patterns include flags, ascending and descending triangles, symmetrical triangles, pennants, gaps and rectangles. Show students how to combine rectangles and triangles to create houses. This work also contains the famous sine formula for plane triangles. Chapter Two demonstrates ways props, such as drums, sticks, triangles, balls, a trampoline, hoops, bells and scarves, can be used to intensify rhythmic feeling. The natural camouflage often found on the bodies of snakes is shown through the use of painted diamonds and triangles that appear throughout the length of the body. Discarded pieces from games may turn up stars, triangles or octagons. Crisp triangles of French toast are layered with citrus segments and indulgently oozy oil-glossed pieces of warm foie gras, the best liver known to carnivores. A regular octahedron has faces that are all equilateral triangles. In this paper we formulate a set of necessary and sufficient conditions on the spherical angles of the spherical triangles for them to form a spherical triangulation. A theorem of Riemann's geometry is that the sum of the interior angles of a triangle is always greater than 180 degrees, and increases as the areas of triangles increase. These rolling casters are little triangles with wheels on the bottom. Judging the paintings, he said that straight lines, curves and equilateral triangles, involved in the drawing, could shape the children's handwriting. In addition to square, rectangular, and circular crackers, I managed to find ovals, triangles, hexagons, stars, and even spheres, cubes, and cones. Show More Sentences In brief, the game comes with 40 rhombs and 18 triangles which two players alternately place on a six-sided board with nine triangles on each side. For example, the convex hull of a 3D molecule is a convex polytope rather than a polygon, and it is tessellated by tetrahedra rather than triangles. From craft foam, cut out two matching cathead shapes, two triangles for inside the cat's ears, and a heart for its nose. Today, many would call the large round cake a bannock, and call the triangles scones. When prepared at home, they may take various shapes including triangles, rounds and squares. However, there is a deadweight loss of the triangles B and D, or in diagram 1, the triangles labeled Societal Loss. Velocity triangles can be used to calculate the basic performance of a turbine stage. The velocity triangles are constructed using these various velocity vectors. Using these formulas, the area of any polygon can be found by dividing the polygon into triangles. However, the same parallelogram can also be cut along a diagonal into two congruent triangles, as shown in the figure to the right. Using congruent triangles, one can prove that the rhombus is symmetric across each of these diagonals. The textile of plain weave is represented by a wide variety of stripes, and more rarely by geometrical patterns such as triangles and diamonds. The blue triangles are a tribute to the Union Flag, and represent the British heritage of the province. Many countries on the continent require you to carry equipment such as warning triangles, reflective jackets and spare bulbs. Each of the isosceles triangles can, in turn, be composed from two symmetrical right triangles. Now, as some students will point out not all triangles are right triangles. Small letters denote the sum of the interior angles in triangles and quadrilaterals. Leave as open sandwiches or place another slice of cake on its top and cut into triangles. Third graders Susanna, Ariuaj and Chang enter the front of the classroom carrying metallophones, maracas, triangles and hand drums. Now teenagers get up with the lark to revise, berate grown-ups for being slugabeds and nick all the green triangles. Show More Sentences Finished pine tongue-and-groove triangles have finally started to appear inside the upstairs dome. Prop. XVI. If the angular defects of two triangles are equal, the areas of the triangles are equal. All B1 belong to triangles, and all B2 are tetrahedrally coordinated with oxygen atoms. No experienced typologist has difficulty in distinguishing lunates, trapeze-rectangles, and triangles except for the rare, odd specimen. Therefore eight triangles and eighteen squares join up to make an icosihexahedron, which I call a truncated cuboctahedral rhombus or a rhombicuboctahedron. Regarding two triangular pieces, an isosceles right triangle and a 3060-90 degree triangle, he recognized that both were triangles, but differentiated them by their sizes. A version of the isoperimetric inequality for triangles states that the triangle of greatest area among all those with a given perimeter is equilateral. The magnitude of this societal loss is shown by the two pink triangles. The Holmesian signs of detection and the numerological triangles in Until Before After are part of an integral structure and not just an eccentric patterning. The pigs appeared on warning triangles on the isle's Calum Road. The purpose of this project was to create an improved algorithm that could mesh very large and complex terrains in a reasonable number of triangles, and do it quickly. The usual signs of warning triangles often get lost in the array of signs. We were able to pull over safely on to the roadside, don high visibility gilets, display warning triangles and spare tyre when a young man appeared from between the trees. There are influences from across the Arabian Sea, as with sambuusas, triangles of dough sealed around cumin-laced ground beef or chicken, distant kin to Indian samosas. But for two pins I'd hand in blank papers and tell school where to shove Pythagoras triangles and Lord of the Flies and their life cycles of worms. In our discrete 4-D spacetime we need to tesselate this Riemann surface into identical equilateral triangles and then perform the symmetry transformations of the sphere. Likewise, the presence of scalene triangles on the site of Birseck-Ermitage shows that a single facies does not exist for the Middle Magdalenian in these territories. Favourite body designs are small white triangles, circles or diamonds around the nipples created by wearing the itsiest bitsiest bikini tops and bottoms. Examples from Classical Literature We therefore speak of congruent triangles and congruent parallelograms as being those that are superposable. If triangles and genera are of our own production we can keep them invariant. Four large, grand buildings of six stories each face this park, occupying the apices of the eight triangles. In the fourth are six triangles, in the fifth, five polygons from a pentagon to a decagon. These men had the red stars on their astrakhan caps and red triangles on their sleeves. For triangles doe compound and make the triangulate, but lines doe not make the lineate. The design in figure 336 is likewise unsymmetrical, but it has two lateral triangles with incurved terrace and dentate patterns. He gave an interesting proposition relating to plane and spherical triangles, their sides being cut by a transversal. In dioptrics, is a geometrical solid bounded by three parallelograms, whose bases are equal triangles. The sides of a triangulate are two more than are the triangles of which it is made. Here each face of the octahedron is replaced by six scalene triangles, so that altogether there are 575 forty-eight faces. The general form is bounded by twelve scalene triangles and is a ditrigonal bipyramid. On the other hand, triangles can be divided into equilateral, isosceles and scalene, since no other kind of triangle can exist. The first solid is a regular pyramid, of which the base and sides are formed by four equilateral or twenty-four scalene triangles. Raising or lowering the flight ceiling merely increases or reduces all sample cones or triangles proportionately. The triangles were of the usual pattern, and the flogging was on the buttock. But the circle embraces them altogether as the geometrical locus263 of the vertices of triangles satisfying the given conditions. Hence it is possible to form a solid angle with three, four or five regular triangles or faces. If we take away the other two triangles instead, we have left the square on the hypotenuse. You cannot write a text-book of geometry without reference to a hypotenuse and triangles and a rectangular parallelopiped. Show More Sentences Notes on Tabanus molestus and related horseflies with a prominent single row of triangles on the abdomen. In Redan,1965, he arranged three tiers of timber in a pattern of inverted triangles, horizontally distributing their considerable weight. What is this but the atoms of Democritus and the triangles of Plato? If one of these triangles occur singly it is termed a gyron. The icosahedron, having twenty equilateral triangles as faces. And equilaterals, and isosceles triangles, and all that, scoffed Neale. Only the solid small triangles at junctures and ends seem to be lacking. It is like that brute advantage so essential to astronomy, of having the diameter of the earth's orbit for a base of its triangles. The tetrahedron, having four equilateral triangles as faces. A triangulate is a rectilineall figure compounded of triangles. In each image, two triangles have vanishing points that meet their vertical horizons at different places. The octahedron, having eight equilateral triangles as faces. Students can graph triangles, for example, changing one vertex then watching as the program redraws each triangle. Now consider all triples of different letters that occur as Vertices of equilateral triangles in the lattice. In Euclidean geometry there are right angled triangles and equilateral triangles, but in topology all triangles are the same. A series of equilateral triangles structures the landscape and the way the buildings address it. Cut the quesadilla into small triangles and serve as a hot appetizer. By calculating the median of each triangle, the object median point is equally distributed by finding the middlemost point between the median of all triangles. The illustration above shows the first few cases of the best-known ways of packing a set number of same size equilateral triangles into an equilateral triangle. The red triangles warning of 'Flood' were a good reminder to take more care and after a heady evening, my thoughts turned, more prosaically, to the Northumberland Local Plan. Show More Sentences They can grow silver particles shaped as hexagons, rods, triangles, spheres or dodecahedrons by shining green, red, orange, violet and blue light on the liquid respectively. All the bottom dowels should rest on the potting table frame with the end triangles extending slightly beyond so air can circulate into the greenhouse. Find more words! 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Words that rhyme with triangles What is the adverb for triangles? What is the adjective for triangles? What is the noun for triangles? Use our Sentence Generator Nearby Words Triangle triangle triamcinolone trials and tribulations trials trial period Triangle Trade triangular triangularity triangularly triangular trade triangulate 9-letter Words Starting With t tr tri tria trian triang triangl triangle