 | Popular educator - 1884 - 910 σελίδες
...connected with our present subject. Euclid has proved, in the 32nd Proposition of his First Book, that tho three interior angles of every triangle are together equal to two right angles, that is, to 180°. Let the reader bear this fact in mind. Hence it follows that if the measure of any... | |
 | Euclides - 1884 - 182 σελίδες
...of a triangle be produced, the exterior angle is equal to the two opposite interior angles ; and the interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, having one side BC produced to D. Then the exterior angle ACD shall be equal... | |
 | Oxford univ, local exams - 1885 - 358 σελίδες
...in a circle said to be equally distant from the centre ? 2. If a 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. Enunciate and prove the corollaries of this proposition. 3. If a straight line be divided into any... | |
 | 1885 - 608 σελίδες
...opposite the first must be greater than that opposite the second. 2. If a 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. 3. If a parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram... | |
 | 1885 - 630 σελίδες
...Question 3, if you can. MALES. 1. If a side of any triangle be produced, the exterior angle is «Ч1»! to the two interior and opposite angles ; and the...every triangle are together equal to two right angles. Prop. 32, Bk. I. 2. The complements of the parallelograms which are about tbe diameter of any parallelogram... | |
 | Canada. Department of the Interior - 1888 - 756 σελίδες
...perpendicular can be drawn. 6. If one side of a triangle is produced, the exterior angle is equal to the Bum of the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 7. Describe a square that shall be equal to a given parallelogram or to... | |
 | George William Usill - 1889 - 306 σελίδες
...same straight line are parallel to one another. 18. If a side of any triangle B c be produced to D, the exterior angle is equal to the two interior and opposite angles, and the IS three interior angles of every triangle are together equal to two right angles. 19. The exterior... | |
 | E. J. Brooksmith - 1889 - 356 σελίδες
...geometrical. Great importance will be attached to accuracy.] 1 . If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. Through the vertices of a triangle ABC straight lines, falling within the triangle, are drawn making... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...parallel respectively to BC, AH (I. 27). PROPOSITION 32. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and...triangle are together equal to two right . angles. Let ABC be a A having one side BC produced to D ; then ext. L ACD = twoint. and opp. L s CAB, ABC,... | |
 | Royal Military College, Sandhurst - 1890 - 144 σελίδες
...geometrical. Great importance will be attached to accuracy^ 1. If a side of a triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. Prove the corollary with regard to the interior angles of any rectilineal figure ; and show from it... | |
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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. 
