| Education - 1902 - 678 pages
...shall be less than the other two sides of the triangle, but shall contain a greater angle. (4) If 'he **side of any triangle be produced, the exterior angle...and opposite angles ; and the three interior angles** are together equal to two right angles. (5) Show how to describe a parallelogram which shall be equal... | |
| 1903 - 898 pages
...prove that the twostraight lines are parallel. 6. If a side of any triangle be produced, pi-ove that **the exterior angle is equal to the two interior and opposite angles, and** that the three interior angles of the triangle are equal to two light angles. 7. Draw any triangle... | |
| 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...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... | |
| 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 to 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...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.... | |
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