 | Charles Davies - 1849 - 372 страница
...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 angle C + A + B be equal to two right angles. For, produce... | |
 | 1849 - 682 страница
...greater angle ; and conversely, the greater angle is opposite to the greater side. 2. In every triangle the sum of the three angles is equal to two right angles. 3. Two equal chords are equally distant from the centre ; and of two unequal chord«, the less is at... | |
 | Charles Davies - 1850 - 238 страница
...of the two angles, A and C, is equal to the outward angle CBD (Ax. 1). THEOREM XVII. In any triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle : then will the sum of the three angles C A+B+C=two right angles. For, let... | |
 | Charles Davies - 1850 - 218 страница
...of the two angles, A and C, is equal to the outward angle CBD (Ax. 1). THEOREM XVII. In any triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle: then will the sum of the three angles C A-{-B-}-C=z two right angles . For,... | |
 | Sir Henry Edward Landor Thuillier - 1851 - 826 страница
...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 страница
...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 страница
...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,... | |
 | George Roberts Perkins - 1860 - 472 страница
...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.... | |
 | Thomas Wharton Collens - 1860 - 382 страница
...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,... | |
 | Benjamin Greenleaf - 1862 - 518 страница
...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 any triangle, the sum of the three angles is equal to two right angles, or 180°. 
