| 1885 - 608 pages
...greater than a second, the angle opposite the first must be greater than that opposite the second. 2. **If a side of any triangle be produced the exterior...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... | |
| Oxford univ, local exams - 1885 - 358 pages
...with the square on the line between the points of section, is equal to the square on half the line. 5. **If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles.** Enunciate the first corollary to this proposition. What number of sides must a rectilineal figure have... | |
| Education - 1885 - 630 pages
...abbreviations for words may be used.] Answer two Questions, including 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 three interior angles of every triangle... | |
| Canada. Department of the Interior - 1888 - 756 pages
...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... | |
| E. J. Brooksmith - Mathematics - 1889 - 354 pages
...method of proof must be 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... | |
| George William Usill - Surveying - 1889 - 306 pages
...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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...congruent (I. 8), and have sides AE, DE parallel respectively to BC, AH (I. 27). PROPOSITION 32. THEOREM. **If a side of any triangle be produced, the exterior...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 - Mathematics - 1890 - 144 pages
...method of proof must be geometrical. Great importance will be attached to accuracy^ 1. If a side of a **triangle be produced, the exterior angle is equal...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... | |
| John Fry Heather - Geometry, Modern - 1890 - 252 pages
...Hence every equilateral triangle is also equiangular, and vice versa. 62. THEOE. 5. If oue side of a **triangle be produced, the exterior angle is equal...the two interior and opposite angles ; and the three** angles of every triangle are together equal to two right angles (Euc. I. 32). Hence the angles of an... | |
| Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...and of what proposition may it be regarded as the corollary '! 3. In Prop. 32, Book I., prove that **the three interior angles of every triangle are together equal to two right angles,** without producing a side of the triangle. 4. If a straight line falling on two other straight lines... | |
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