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Books Books 31 - 40 of 74 on 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 - Page 218
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Mathematics for practical men: being a common-place book of principles ...

Olinthus Gregory - History - 1863
...external angle A c D will be equal to the two internal opposite angles A B. " cn 2. In any triangle, the sum of the three angles is equal to two right angles. Cor. 1. If two angles in one triangle be equal to two angles in another : the third will also be equal...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 320 pages
...and opposite angles CAB, ABC (Art. 34, Ax. 2). PROPOSITION XXVIII. — THEOREM. 95. In every triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle ; A then will the sum of the angles ABC, BCA, CAB be equal to two right angles....
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METHODS OF INSTRUCTION

JAMES PYLE WICKERSHAM - 1865
...intersect each other, the opposite or vertical angles, which they form, are equal;" u ln every triangle the sum of the three angles is equal to two right angles;" "Every triangle is half the parallelogram which has the same base and the same altitude;" "The square...
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The Journal of Speculative Philosophy, Volume 10; Volume 18

William Torrey Harris - Philosophy - 1884
...If expressed, however, it would be something like this : " We have now shown that in this triangle the sum of the three angles is equal to two right angles ; but that is nothing peculiar or characteristic of the triangle before us, and it is therefore true...
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Elements of Trigonometry, Plane and Spherical

M. Lefébure de Fourcy (Louis Etienne) - Mathematics - 1868 - 288 pages
...triangles can be formed, which will be similar to each other, but not equal. It is always understood that the sum of the three angles is equal to two right angles. 2. Geometry furnishes very simple constructions for determining a triangle, by means of some of its...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 320 pages
...and opposite angles CAB, ABC (Art. 34, Ax. 2). PROPOSITION XXVIII. — THEOREM. 95. In every triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle ; then will, the sum of the angles ABC, BCA, CAB be equal to two right angles....
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 275 pages
...the hypothesis; hence, ABC must be greater than CAB. Therefore, etc. THEOREM XIII. In every triangle the sum of the three angles is equal to two right angles. c Let ABC be a triangle; then will S\ , the sum of its three angles, A, B,C, be equal to two right...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1872 - 455 pages
...equal to its alternate angle MBC (P. XX., C. 2) : hence, PROPOSITION XXV. THEOREM. In any triangle, the sum of the three angles is equal to two right angles. Let CBA be any triangle: then will the sum of tLe angles C, A, and B, be equal to two right angles....
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Elements of Geometry: With Exercises for Students and an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 364 pages
...the angles of a given triangle. 5. Circumscribe a circle about a triangle, and prove by (153) that the sum of the three angles is equal to two right angles. 6. Prove by (127), (153), that the greatest angle of a triangle is opposite the greatest side ; that,...
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Wonders of the heavens

Wonders - 1877
...Earth, the Sun, and the star; when the Earth is at T', we measure the angle S T' E. In every triangle the sum of the three angles is equal to two right angles, — that is to say, to 180° ; then, if we make the sum of the two observed angles, STE and S T' E,...
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