 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.  The Element of Geometry - Page 13by John Playfair - 1836 - 114 pagesFull view - About this book
 | 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...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 two interior and opposite... | |
 | 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... | |
 | 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...and the three interior angles of every triangle are together equal to two right angles. 3. If the square described upon one of the sides of a triangle... | |
 | 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
...with 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...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.) the exterior... | |
 | 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...angles of every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle contained by the whole and... | |
 | Euclides - 1852 - 48 pages
...XXXП. ТнЕОB. If any side of a\ triangle Reproduced, the exterior angle is equal to the two interior opposite angles : and the three interior angles of every triangle, are equal to two right angles. In the triangle ABC, let the side A в be produced to D ; then the exterior angle c в D is equal to... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...the 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...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... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...adjacent side and the side produced) is equal to the two interior opposite angles of the triangle; and the three interior angles of every triangle are equal to two right angles. Let the side AB of the triangle ABC be 'produced'toD;/CBD c shall be equal to the angles BAC, ACB taken... | |
 | John Kitto - Bible - 1854 - 504 pages
...mind. ' § 65. To illustrate this doctrine by an example taken from the science of magnitude. That the three interior angles of every triangle are equal to two right angles, is a truth which, if the demonstration has been followed, cannot but be believed, when the subject... | |
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