 | Edward Atkins - 1874 - 428 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 shall... | |
 | Euclides - 1874 - 120 pages
...THEOREM. If a side of any triangle be produced, tJie 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... | |
 | Edward Atkins - 1876 - 130 pages
...Theorem. Jf 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 shall be... | |
 | Edward Atkins - 1877 - 72 pages
...triangle be produced, the exterior angle if equal to the two interior and opposite angles ; and tlie 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 shall be... | |
 | Euclides - 1879 - 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 A, and let one of its sides BC be produced to D. Then the ext. Z. ACD shall = the two... | |
 | T S. Taylor - 1880 - 152 pages
...32, Second Part). Repeat. — The enunciation of Euc. I. 13 and Axioms i and 2a. General Enunciation. The three interior angles of every triangle are equal to two right angles. Particular Enunciation. Given. — The triangle ABC. Required. — To prove that the three angles ABC,... | |
 | 1880 - 594 pages
...the straight line AE, therefore the two angles ACB, BCE are equal to two right angles (i. 13) ; but the three interior angles of every triangle are equal to two right angles (i. 32), therefore the three interior angles of the triangle DBC are equal to the three angles ACD,... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...produced, prove that the exterior angle is equal to the two interior and opposite angles, and that the three interior angles of every triangle are equal to two right angles. State and prove also the corollaries of this proposition. 3. Describe a parallelogram equal to a given... | |
 | Education, Higher - 1883 - 536 pages
...angle. 6. If a side of a 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. Explain the term corollary. Enunciate and prove corollaries to the above. 7. The straight line joining... | |
 | Herbert Spencer - 1881 - 752 pages
...Therefore 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. QED" Thus in each step by which the special conclusion is reached, as well as in the step taken from... | |
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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. 
