 | Canada. Department of the Interior - 1888 - 756 pagine
...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...angles of every triangle are equal to two right angles. 7. Describe a square that shall be equal to a given parallelogram or to a given triangle. 8. From a... | |
 | E. J. Brooksmith - 1889 - 356 pagine
...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 - 1889 - 306 pagine
...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 pagine
...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...and the three interior angles of every triangle are together equal to two right . angles. Let ABC be a A having one side BC produced to D ; then ext. L... | |
 | Royal Military College, Sandhurst - 1890 - 144 pagine
...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...and the three interior angles of every triangle are together equal to two right angles. Prove the corollary with regard to the interior angles of any rectilineal... | |
 | John Fry Heather - 1890 - 252 pagine
...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... | |
 | Rupert Deakin - 1891 - 102 pagine
...one another. 31. To draw a straight line through a given point parallel to a given straight line. 32. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. 33. The straight lines which join the extremities of two equal... | |
 | Herbert Spencer - 1892 - 776 pagine
...therefore also the angles CBA, BAC, ACB, are together equal to two right angles. "Therefore if aside of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles. QED" Thus in each step by which the special conclusion IB reached, as well as in the step taken from... | |
 | Yale University - 1898 - 212 pagine
...DEPARTMENT (YALE COLLEGE) GEOMETRY JUNE 1886. (Four out of five questions are required.) 1. If a side oí any triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are together equal to two right angles. 2. (Problem) To describe a square on a given straight line. (Show... | |
 | 1898 - 228 pagine
...DEPARTMENT (YALE COLLEGE) GEOMETRY JUNE 1886. (Four out of five questions are required.) 1. If a side,of any triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are together equal to two right angles. 2. (Problem) To describe a square on a given straight line. (Show... | |
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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. 
