 | Euclid - Euclid's Elements - 1904 - 488 pages
...opposite angles; also the three interior angles of a triangle are together equal to two right angles. A Let ABC be a triangle, and let one of its sides BC be produced to D. Then (i) the exterior angle ACD shall be equal to the sum of the two interior opposite angles CAB,... | |
 | Herbert Spencer - Psychology - 1906 - 788 pages
...foregoing theorem is inconveniently long. We shall find a fitter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle is...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... | |
 | Institution of Civil Engineers of Ireland - Civil engineering - 1906 - 336 pages
...abbreviations may be used, but the method of proof must be geometrical.] 1. If a side of a triangle is produced, the exterior angle is equal to the two interior...every triangle are together equal to two right angles. If the side BC of a triangle ABC is produced both ways, and the bisectors of the exterior angles so... | |
 | Saskatchewan. Department of Education - Education - 1906 - 188 pages
...line and surface. Illustrate by reference to a cube. 2. (a) If a side of any triangle be produced, (1) the exterior angle is equal to the two interior and opposite angles; and (2) the three interior angles of the triangle are together equal to two right angles. — I. 32. (6)... | |
 | University of Calcutta - 1907 - 446 pages
...figures in the margin indicate full marks. 1. If u side of any triangle be produced, the exterior anirlo is equal to the two interior and opposite angles ;...three interior angles of every triangle are together eqnal to two right angles. The bisectors of the exterior angles of any quadrilateral form a qnadrilateral... | |
 | Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...to a given rectilineal figure and having an angle equal to a given rectilineal angle. 3. Prove that the three interior angles of every triangle are together equal to two right angles. 4. Inscribe an equilateral triangle in a given circle; trisect a right angle. 5. To divide a given... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...assumption of the uniqueness of the parallel. PROPOSITION 32. In any triangle, if one of the sides be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of the triangle are equal to two right angles. Let ABC be a triangle, and let one side of it BC be produced... | |
 | Joseph Gregory Horner - Engineering - 1909 - 560 pages
...each, and also the third angle of the one equal to the third angle of the other. (Prop. 26.) If a side of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are equal to two right angles. (Prop. 32.) Triangles on the same base and between the same parallels are... | |
 | Association of Ontario Land Surveyors - Surveying - 1909 - 254 pages
...angles are enual, these straio.ht lines are two and two in the same straio.ht line. 4. If a side of anv triangle be produced, the exterior angle is equal to the two interior and ormosite angles ; and the three interior angles of every triangle are together equal to two right angles.... | |
 | Herbert Spencer - Philosophy - 1910 - 780 pages
...foregoing theorem is inconveniently long. We shall find a titter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle is...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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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. 
