 | Military Academy, West Point - 26 pages
...find the area of the segment subtended by the side of a regular hexagon. 8. Theorem : The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides, Including those angles. 9. Problem : Through a given point... | |
 | University of St. Andrews - 1905 - 682 pages
...EXAMINATIONS. MATHEMATICS (FIRST PAPER). TDESDAY, 4iH OCTOBER 1904 — 9 TO 11 AM GEOMETRY AND TRIGONOMETRY. 1. Triangles which have an angle of the one equal to an angle of the other, and the sides about these equal angles proportional, are similar. If O, A, C, B are points in order... | |
 | Education Department - 1879 - 1118 pages
...parallelograms formed by drawing lines parallel to the sides from any point in the cutting line. 9. Equal triangles which have an angle of the one equal to an angle of the other have their sides about the equal angles reciprocally proportional. CD, AB are parallel chords in a... | |
 | 1882 - 350 pages
...their sides. 8 marks. 8. Calculate the area of a regular octagon whose side is one inch. 8 marks. 9. Triangles which have an angle of the one equal to an angle of the other, and the sides about these angles reciprocally proportional, are equal. Prove this. 8 marks. 1 0. The... | |
 | 1898 - 846 pages
...angle. 4. State and prove theorem for the lateral area of a regular pyramid. 5. Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. HISTORY OF EDUCATION. 1. What were... | |
 | Military Academy, West Point - 906 pages
...chord is equal to ti« radius. No. 4.— Prove tho following theorem: (Wt. 10.) Two triangles having an angle of the one equal to an angle of the other are to each other as tho products of the sides including the equal angles. No. 5. — A shore line, XV,is... | |
 | Canada - 1917 - 1134 pages
...squares on AB and AC is equal to twice the sum of the squares on ВП and AD. 7. (a) If two triangles have an angle of the one equal to an angle of the other and the sides about these angles proportional, the triangles are equiangular, (b) Prove that, if from... | |
 | Euclid - 1845 - 336 pages
...sides. 215. PROP. 13. If two triangles or two parallelograms have one angle in each equal, their areas are to one another as the rectangles contained by the sides about the equal angles. (i) Let ABCD, PQRS be two parallelograms having /_ A = LP ; to prove that || m ABCD:... | |
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Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. 
