 | Sir Henry Edward Landor Thuillier - 1851 - 826 pages
...triangle, if either acute angle be taken from 90°, the remainder will express the other acute angle. 4. The sum of the three angles is equal to two right angles. 5. The greater side is opposite the greater angle, and the less side to the less angle. 6. The sum... | |
 | Adrien Marie Legendre - 1852 - 436 pages
...but DEF is equal to BAC: hence, DEH '+ BAC is equal .to two right angles. PROPOSITION XXV. THEOEEM. 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 0+A+B be equal to two right angles. For,... | |
 | Charles Davies - 1854 - 436 pages
...1) ; but DEF is equal to BAC: hence, DEH+BAC is equal to two right angles. PROPOSITION XXV. THEOREM. 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 C+A+B be equal to two right angles. For,... | |
 | Charles Davies - 1855 - 340 pages
...the sum of the two angles, A and f), is equal to the outward angle CBD (Ax- 1)- r THEOREM XVIIIn any triangle the sum of the three angles is equal to two right anglesLet ABC be any triangle : then will the sum of the three angles A+5+C=two right anglesFor, let... | |
 | Thomas Wharton Collens - 1860 - 382 pages
...not have found it on the track, and could not have secured it. Take, for instance, the theorem : " In every triangle the sum of the three angles is equal to two right angles," and see how many different facts must be brought to bear, and how many distinct definitions, axioms,... | |
 | George Roberts Perkins - 1860 - 472 pages
...equal to twice as many right angles as the polygon has sides, wanting four right angles. Cor. I. In any triangle, the sum of the three angles is equal to two right angles. x Cor. II. If one angle of a triangle is a right angle, as in the case of a right-angled triangle (D.... | |
 | Horatio Nelson Robinson - 1860 - 470 pages
...is For any other radius we must write cos. ^ PC By inference, cos. \B = \f R's (s % Also, 008.1(7= In every triangle, the sum of the three angles is equal to 180° ; and if one of the angles is small, the other two must be comparatively large ; if two of them... | |
 | Benjamin Greenleaf - 1862 - 518 pages
...the two interior 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.... | |
 | Benjamin Greenleaf - 1861 - 638 pages
...the two interior 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 lira right angles. Let ABC be any triangle; then will the sum of the angles ABC, EGA, CAB be equal... | |
 | Benjamin Greenleaf - 1863 - 504 pages
...the two interior 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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In every triangle the sum of the three angles is equal to two right angles. 
