 | Euclides - 1852 - 152 pages
...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 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... | |
 | Euclides - 1853 - 146 pages
...THEOREM. 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. Let ABC be a triangle, and let one of its sides BC be produced to D; the exterior angle ACD is equal... | |
 | David Stuart (D.D.) - Ethics - 1853 - 196 pages
...three angles. The/ourth is, when the predicate is made to affirm the property of the subject, as, The angles of every triangle are equal to two right angles. In the fifth, the predicate asserts something accidental of the subject, as, This figure is neatly drawn.... | |
 | 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... | |
 | Bible - 1854 - 500 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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...side. 4. 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. If two sides of any triangle be produced, the two exterior angles are together greater than two right... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...one side of a triangle is produced, the exterior angle tn 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. ^et ABC be any plane triangle, and let the side BC be produced uo D ; then will the exterior angle... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...Book I. 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. Reference to Fig. 33 will illustrate the value of the above in triangular surveying. The line DC falls... | |
 | EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 pages
...2 ^ 3 6. If a side of any triangle be produced, the exterior nngle ia equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Show how the corners of a triangular piece of paper may be turned down, so as to demonstrate the latter... | |
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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. 
