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Books Књиге 110 од 76 за In any triangle, the sum of the three angles is equal to two right angles, or 180..
" In any triangle, the sum of the three angles is equal to two right angles, or 180. "
Introduction and books 1,2 - Страница 218
написао/ла Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - 1816 - 244 страница
...• — -', it will become gin c = sin A cos H + sin it cos A, Now, since in every plane triangle, the sum of the three angles is equal to two right angles, A + B = supplement of c ; and, since an angle and its supplement have the same sine, it follows that...
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Elements of Geometry

Adrien Marie Legendre - 1819 - 208 страница
...case the angle DEH and the angle BAC would together make two right angles. THEOREM. In. every triangle the sum of the three angles is equal to two right angles. , 41. Demonstration. Let ABC (Jig. 41) be any triangle; produce the side CA toward D, and draw to the...
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American Practical Navigator

1821
...therefore the lines AB, CD cannot meet, and must be parallel. XXXV. In any right lined triangle ABC, the sum of the three angles is equal to two right angles. To prove this, you must produce BC (in ihefig. art. 33,) towards T), then (by'irt. 33) the external...
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Description and Use of a Diagram of Navigation: By which All Problems in ...

George Watson (of Belfast, Maine.) - 1822 - 64 страница
...sides. 196. The longest side bf any triangle is opposite the greatest angle. 195. In all plane triangles the sum of the three angles is equal to two right angles, or 180 deg. 198. An angle in a segment less than a semicircle is greater than a right angle. 197. An...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 367 страница
...Note II. of his Geometry, gives of the fundamental proposition, that, in every rectilineal triangle, the sum of the three angles is equal to two right angles. This demonstration is the more remarkable, as it makes no use of the theory of parallels, but, on the...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre - 1825 - 224 страница
...DEH and the angle BAC would together make two right angles. 27 THEOREM. A. ' 72. In every triangle the sum of the three angles 'is equal to two right angles. Pig. 41. Demonstration. Let ABC (fig. 41) be any triangle ; produce the side CA toward D, and draw...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 208 страница
...Cor. 1. Since the angle ACD together with ACB make two right angles, it follows that in every triangle the sum of the three angles is equal to two right angles. Cor. 2. Hence if two angles in one triangle be equal to two in another, the third angle in the one...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - 1831 - 396 страница
...acute angle ; and one which is greater than 90 degrees, is said to |-" obtuse. — In every triangle, the sum of the three angles is equal to two right angles, or 180 degrees. Right angled triangles are in called because the angle included between lhe base and...
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A Course of Mathematics: For the Use of Academies, as Well as Private ..., Том 2

Charles Hutton - 1831
...— — , it will become a sin. A = sin. n . cos. c+sin. c . cos. B. But, in every plane triangle, the sum of the three angles is equal to two right angles ; therefore, B and c are equal to the supplement of A : and, consequently, since an angle and its supplement...
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Mathematics for Practical Men

Olinthus Gregory - 1833 - 427 страница
...the external angle AC D will be equal to the two internal opposite angles A B. c 2. In any triangle, the sum of the three angles is equal to two right angles. Cor. \. If two angles in one triangle be equal to two angles in another : the third will also be equal...
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