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. The Practical Teacher - Página 3791882Vista completa - Acerca de este libro
| sir William Cathcart Boyd - 1843 - 444 páginas
...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... | |
| Alfred Wrigley - 1845 - 222 páginas
...point of the hypothenuse is equal to half the hypothenuse. (Euclid, i. 26, 34. Cape, i. 7, 26.) 17. In a right-angled triangle, the angle contained by...right angle, and the line drawn perpendicular to the hypothenuse, is equal to half the difference of the two acute angles of the triangle. (Euclid, i. 32.... | |
| Euclid - 1845 - 218 páginas
...to be done. PROPOSITION XXXII. THEOR. — 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. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... | |
| Euclid, James Thomson - 1845 - 382 páginas
...XXXII.— If a side of any triangle be produced, the exterior angle is equal to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right angles. Let the side BC of the triangle ABC be produced to D : the exterior angle ACD is equal to the two interior... | |
| Scottish school-book assoc - 1845 - 444 páginas
...ABC 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... | |
| Euclides - 1845 - 546 páginas
...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... | |
| Great Britain. Admiralty - 1846 - 128 páginas
...BC. Pt0ff ^ PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles;...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 - 1846 - 128 páginas
...BC. Prop.2H. PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, t/ie ex-terior angle is equal to the two interior and opposite angles;...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 +... | |
| Euclid, John Playfair - 1846 - 334 páginas
...given straight line BC. PROP. XXXII. THEOR. 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. Let ABC be a triangle, and let one of its sides BC he produced to D ; the... | |
| Euclides - 1846 - 292 páginas
...straight line BC. Qur PROP. XXXII. THEOR. If any side 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 equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : the... | |
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