| 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 - Geometry - 1845 - 218 pages
...parallel to the given straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. — If a side **of any triangle be produced, the exterior angle is...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 - Geometry - 1845 - 380 pages
...equal to that which is described by eitner extremity of the base.* BOOK I. PKOP. 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.... | |
| Scottish school-book assoc - 1845 - 434 pages
...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 - 544 pages
...straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side **of any 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...str. line has been drawn through A || BC. EF || BC. Pt0ff ^ PROP. XXXI. THEOR. 32. 1 Eu. If a side **of any triangle be produced, the exterior angle is...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 int. and oppo.... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...drawn through the given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side **of any triangle be produced, the exterior angle is...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 pages
...the given point A parallel to the given straight line BC. Qur PROP. XXXII. THEOR. If any side of a **triangle be produced, the exterior angle is equal...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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
.../. ADC, EF || 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 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 +... | |
| London univ - 1846 - 326 pages
...2. Prove that any two sides of a triangle are together greater than a third side. 3. If a side of a **triangle be produced, the exterior angle is equal to the two interior** opposite angles, and the three interior angles of every triangle are equal to two right angles. Prove... | |
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