| John Playfair - Euclid's Elements - 1842 - 317 pages
...EAF is 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...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... | |
| Euclides - 1842
...is drawn through the given point A parallel to the given straight line в c. QEF PROP. XXXII. THEOR. **IF a side of any triangle be produced, the exterior...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, вc be produced to D; the... | |
| Scotland free church, gen. assembly - 1847
...FIRST CLASS-GEOMETRY. 1. The greater side of every triangle has the greater angle opposite to it. 2. **The three interior angles of every triangle are together equal to two right angles.** 3. Parallelograms upon equal bases, and between the same parallels, are equal. 4. If a straight line... | |
| sir William Cathcart Boyd - 1843
...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 - 199 pages
...point A 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...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 - 352 pages
...describes a straight line 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.... | |
| Euclides - 1845
...been drawn a 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... | |
| Scottish school-book assoc - 1845
...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... | |
| Great Britain. Admiralty - Geometry - 1846
...Therefore, a 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...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... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...EAF is 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...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... | |
| |