| Harvey Goodwin - Mathematics - 1851 - 173 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
...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
...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
...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
...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
...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
...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...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 . A.... | |
| Great Britain. Committee on Education - School buildings - 1855
...straight line of an unlimited length, from a given point without it. 3. If a side of any triangle he **produced, the exterior angle is equal to the two interior...triangle are together equal to two right angles. 4.** Equal triangles upon the same base and upon the same side of it, are between the same parallels. A... | |
| John Playfair - Geometry - 1855 - 318 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 angle is equal to the** tivo interior and opposite angles ; and the three interior angles of tvery triangle are equal to two... | |
| 1856
...opposite to equal sides, show that these two triangles are not necessarily equal to one another. 4. **If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles.** 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares... | |
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