 | Euclid, Thomas Tate - 1849 - 120 pages
...the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior...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... | |
 | University of Cambridge - 1849 - 560 pages
...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...every triangle are together equal to two right angles. Can you give Legendre's method of demonstrating this proposition, which depends upon the necessary... | |
 | 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
...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 to the two interior...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
...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...every triangle are together equal to two right angles. Can you give Legendre's method of demonstrating this proposition, which depends upon the necessary... | |
 | Charles Astor Bristed - 1852 - 470 pages
...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 to the two interior...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 - 1852 - 152 pages
...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 angle is equal to the two interior...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.)... | |
 | Euclides - 1853 - 146 pages
...the given straight line BC. Which was to be done. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior...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 straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. If a side of any triangle be. produced, the exterior angle is equal to 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... | |
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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 together equal to two right angles. 
