| Euclides - 1840 - 82 pages
...the external angle is equal to the two internal remote angles taken together: and the three internal **angles of every triangle, are together equal to two right angles. « COR.** 1.—If two triangles have two angles in the one, together equal to two angles in the other, they have... | |
| Euclides - Geometry - 1841 - 378 pages
...given point A, parallel to the given straight line BC. Which was to he done. . 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... | |
| John Playfair - Euclid's Elements - 1842 - 332 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 - 316 pages
...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 - 554 pages
...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 - 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... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...angles ACD, ACB are equal (13. 1.) to two right angles ; therefore also the angles CBA, BAC, ACB are **equal to two right angles. COR. 1. All the interior angles of any rectilineal figure** are equal to twice as many right angles as the figure has sides, wanting four right angles. For any... | |
| Euclid - Geometry - 1845 - 218 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 - 382 pages
...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 - 546 pages
...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... | |
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