 | sir William Cathcart Boyd - 1843 - 444 pages
...solid to four. Of the geometrical theorems ascribed to him, the following are the principal : that the interior angles of every triangle are together equal to two right angles ; that the only polygons which will fill up the whole space about a given point, are the equilateral... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...triangle be produced, (l) the exterior angle is equal to the two interior and remote angles ; and (2) the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : (1 ) the exterior angle ACD is... | |
 | Euclides - 1845 - 546 pages
...triangle be produced, the exterior angle is equal to the Iwo interior and opposite angles; and Ihe three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD shall... | |
 | Scottish school-book assoc - 1845 - 444 pages
...be produced to D, the exterior angle ACD will be equal to the two interior angles CBA and BAC ; and the three interior angles of every triangle are together equal to two ri0'ht angles. Through C draw (Prop. 18), CE || to AB. Then V AB is || to CE, and AC meets them, the... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 together equal to two right angles. Let ABC be a ^, and the side BC be prod, to D. Then shall the ext. /_ ACD = Z. CAB + L ABC, the two... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...any triangle be produced, t/ie ex-terior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two riffht angles. Let ABC be a ^\, and the side BC be prod, to D. Then shall the ext. Z ACD = Z CAB +... | |
 | Anthony Nesbit - Plane trigonometry - 1847 - 492 pages
...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 triangle are together equal to two right angles. (Euc. I. 32. Simp. I. B 9 & 10. Em. II. 1 & 2.) THEOREM V. Let the parallelograms ABCD, DBCE be upon... | |
 | University of Cambridge - 1849 - 560 pages
...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, which depends upon the necessary... | |
 | Education - 1850 - 488 pages
...of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; 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 be equal to the squares described upon... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...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, which depends upon the necessary... | |
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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 together equal to two right angles. 
