 | Dennis M'Curdy - 1846 - 166 sider
...of a triangle be produced, the exterior angle (ACD) is equal to the two interior angles (A and B) ; and the three interior angles of every triangle are equal to two right angles. Argument. Through C draw CE parallel to AB (a). Then because AC meets the parallels AB, CE, the alternate... | |
 | Euclid, John Playfair - 1846 - 334 sider
...angles are also equal. Now, this being demonstrated, it is easy to prove that the three angles of any triangle are equal to two right angles. Let ABC be a triangle right angled at A, draw AD perpendicular to BC. The triangles ABD, ABC have the angles BAC, BDA right... | |
 | Anthony Nesbit - 1847 - 492 sider
...side, are together equal to H\ two right angles. (Euc. I. 29. Simp. I. 7. \ Em. I. 4.) c D THEOREM IV. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal A to the two interior and opposite angles CAB, ABC; also the three interior angles of every... | |
 | Euclides - 1847 - 128 sider
...triangles &c. — QED PROP. XXXII. THEOR. GEN. ENUN. — If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three inte. rior angles of every triangle are equal to two right angles. PART. ENUN. — Let ABC be a A,... | |
 | Euclides - 1848 - 52 sider
...parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three ulterior angles of every triangle are together equal to two right angles. COR. 1. All the interior... | |
 | Euclid, Thomas Tate - 1849 - 120 sider
...straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...sides BC be produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC, and the three interior angles of the triangles,... | |
 | Elias Loomis - 1849 - 252 sider
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three...angles of every triangle are equal to two right angles. produced to D; then will the exterior angle ACD be equal to the sum of the two interior and opposite... | |
 | University of Cambridge - 1849 - 560 sider
...twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Can you give Legendre's method of demonstrating this proposition,... | |
 | 1850 - 488 sider
...two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle are together equal to two right angles. 3. If the square described upon one of the sides of a triangle... | |
 | Harvey Goodwin - 1851 - 196 sider
...twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Can you give Legendre's method of demonstrating this proposition,... | |
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IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. 
