| University of Cambridge - 1849 - 560 pages
...finite straight line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. **If a side of any 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... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...PROPOSITION XXVII. THEOREM. If one side of a triangle is 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** equal to two right angles. produced to D; then will the exterior angle ACD be equal to the sum of the... | |
| Education - 1850 - 488 pages
...equal to two right angles: the two straight lines shall be parallel to one another. 2. If one side of a **triangle be produced, the exterior angle is equal...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
...finite straight line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. **If a side of any 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... | |
| Euclides - 1852 - 152 pages
...distance AK, touch the arc in E. Join EA, and produce it to F.] E 3 THE ELEMENTS 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 riffht angles. Let ABC be a triangle, and let one of its sides BC be produced to D; (1.)... | |
| Charles Astor Bristed - 1852 - 470 pages
...base equal to each other, and likewise those which are terminated in the other. 2. If the sides of a **triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are** equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle... | |
| Euclides - 1853 - 146 pages
...given point A, parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOREM. **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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...given 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...the two interior and opposite angles ; and the three** inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one... | |
| Insurance - 1853 - 394 pages
...triangle be produced (1) 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.** 28. Show that in any right-angled triangle, the square which is described upon the hypothenuse, that... | |
| 1855 - 264 pages
...line perpendicular to a given straight line of an unlimited length, from u given point without it. 3. **If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles.** 4. Equal triangles upon the same hase and upon the same side of it are between the same parallels .... | |
| |