 | William Kingdon Clifford - 1885 - 310 pages
...Fio. 21. The other form into which our proposition may be thrown is that either of the exterior angles of a triangle is equal to the sum of the two interior angles opposite to it. For, in the figure, the exterior angle A c D, together with A c B, makes two... | |
 | George Bruce Halsted - 1886 - 394 pages
...BFC = half 4 at center standing on (arc BC + arc DA). PROOF. Join CD. 4 BFC = 4 BDC + 4 DCA. (173. The exterior angle of a triangle is equal to the sum of the opposite interior angles.) But 2 4 BDC = 4 at center on BC, and 2 4 DCA = 4 at center on DA ; (375-... | |
 | George Albert Wentworth - 1888 - 272 pages
...is onethird of two right angles, or two-thirds of one right angle. PROPOSITION XXIV. THEOREM. 145. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. A c Let BCH be an exterior angle of the triangle ABC. To prove Z... | |
 | 1889 - 716 pages
...are equal. 15. How does a scalene triangle differ from an equilateral triangle 7 16-18. Prove that the exterior angle of a triangle is equal to the sum of the two opposite-interior angles. I'.i. What is a right angle ? 20-22. Prove that two right angles... | |
 | Paul Carus - 1889 - 286 pages
...adds to the stock of our knowledge something new, -.vhich we have not known before. In proving that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the same, we amplify our knowledge of the triangle by mere ratiocination,... | |
 | Edward Albert Bowser - 1890 - 420 pages
...ZABC+ZC+ZA = 2rt. Zs. (Ax. 1) QED 98. COR. 1. Since Z EBD = ZA, and Z ORE = ZC, . -.ZCBD =ZA + ZC. Hence, the exterior angle of a triangle is equal to the sum of the two opposite interior angles. 99. COR. 2. If two angles of a triangle, are given, or merely their... | |
 | William Kingdon Clifford - 1891 - 312 pages
...Fio. 21. The other form into which our proposition may be thrown is that either of the exterior angles of a triangle is equal to the sum of the two interior angles opposite to it. For, in the figure, the exterior angle A c D, together with A c B, makes two... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...Construct a right-angled triangle, having given one side and the angle opposite. PROPOSITION 32. An exterior angle of a triangle is equal to the sum of the two interior opposite angles; and the sum of the three interior angles of a triangle is equal to two right angles. Let ABC be a triangle... | |
 | Henry Martyn Taylor - 1895 - 708 pages
...Construct a right-angled triangle, having given one side and the angle opposite. PROPOSITION 32. An exterior angle of a triangle is equal to the sum of the two interior opposite angles ; and the sum of the three interior angles of a triangle is equal to two right angles. Let ABC be a... | |
 | Joe Garner Estill - 1896 - 168 pages
...prove: AP. PB=A, PL P!Bi. Brown University, June, 1896. 1. Have you been over all the required work ? 2. The exterior angle of a triangle is equal to the sum of the opposite ulterior angles. 3. Find a point equidistant from two given points P and Q, and at a given... | |
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Since the exterior angle of a triangle is equal to the sum of the two interior opposite angles (th. 
