 | 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... | |
 | Euclides - Geometry - 1853 - 334 pages
...; (2) the three interior angles shall be together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then (1) the exterior angle ACD shall be equal to the two interior and opposite angles ABC, BAC; (2) the... | |
 | 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 .... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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...every 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.... | |
 | John Playfair - Geometry - 1855 - 334 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... | |
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IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 
