 | Eldred John Brooksmith - 1901 - 368 σελίδες
...of the other diagonal on a given straight line. 3. Prove that if a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles, and that the three interior angles of every triangle are together equal to two right angles. From a vertex... | |
 | 1902 - 678 σελίδες
...sides of the triangle, but shall contain a greater angle. (4) If 'he side of any triangle be produced, the exterior angle is equal to the two interior 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 σελίδες
...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... | |
 | Institution of Civil Engineers of Ireland - 1906 - 336 σελίδες
...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 and...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... | |
 | Herbert Spencer - 1906 - 788 σελίδες
...inconveniently long. We shall find a fitter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle is equal to the two interior and...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... | |
 | Saskatchewan. Department of Education - 1906 - 188 σελίδες
...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 σελίδες
...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 - 1907 - 218 σελίδες
...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 - 1908 - 550 σελίδες
...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 interior and...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 - 1909 - 560 σελίδες
...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 equal to the two interior and...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... | |
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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. 
