 | Euclides - 1874 - 342 pages
...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced toD. Then the exterior angle ACD shall be equal to the two interior and opposite angles CAB, ABC: and... | |
 | Benjamin Greenleaf - 1874 - 206 pages
...to the interior and opposite angle ^4 B C. But the angle ACE is equal to BAC ; therefore, the whole exterior angle ACD is equal to the two interior and opposite angles CAB, ABC (26, Ax. 2). Add now to each of the equals CAB and ABC the angle ACB, and we shall have the sum of... | |
 | Edward Atkins - 1876 - 130 pages
...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 equal to the two interior rind opposite angles CAB, ABC ; And the three interior angles of... | |
 | Robert Potts - 1876 - 446 pages
...angle ABC; (i. 29.) • but the angle ACE was shewn to be equal to the angle BAG; therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB, ABC. (ax. 2.) Again, because the angle ACD is equal to the two angles ABC, BACs to each of these equals... | |
 | Edward Atkins - 1877 - 72 pages
...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 equal to the two interior and opposite angles CAB, ABC ; A And the three interior angles /\... | |
 | James Maurice Wilson - 1878 - 450 pages
...produced, the exterior angle will be greater than either of the interior and opposite angles. Part. En. Let ABC be a triangle, and let one of its sides BC be produced to D; it is required to prove that the exterior angle A CD is greater than either of the interior and opposite... | |
 | Āryabhaṭa - 1878 - 100 pages
...angles ; and tlie three interior angles of every triangle are together equal to two right angles. ^ B Let ABC be a triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD is equal B e B to the two interior and opposite angles CAB, ABC. and the... | |
 | Moffatt and Paige - 1879 - 474 pages
...to the angle ABC (I. 29). But the angle ACE was proved equal to the angle BAC, therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB, ABC (Ax. 2). To each of these equals add the angle ACB, therefore the angles ACD, ACB are together equal... | |
 | Euclides, Frederick Burn Harvey - 1880 - 178 pages
...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides, BC, be produced to D. Then it is to be proved that 1. The exterior angle ACD = the two interior and opposite angles CAB and... | |
 | Herbert Spencer - 1881 - 756 pages
...angles ; and the three interior angles of every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced to D ; then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; and the three... | |
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... 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 to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle, viz. ABC, BCA, CAB,... 
