 | Euclid - 1859 - 150 pages
...rpiywvwv, àvriirtirèvQaaiv at ir\tvpai, ai irepi ràç; îffaç ywviaç, laa iariv iKtlva. Equal triangles which have an angle of the one equal to an angle of the other have their sides about the equal angle* reciprocally proportional ; and triangles which have an angle... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...hexagon ; secondly, a regular pentagon. 18. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. 19. Investigate a trigonometrical expression for the area of a triangle in terms of two sides, and... | |
 | Euclides - 1860 - 288 pages
...equal to the parallelogram BG (Y. 9)., Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal...reciprocally proportional ; and triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...found. QEF PROPOSITION XIV. THEOKEM. Equal parallelograms, which have one angle of the one equal to on» angle of the other, have their sides about the equal angles reciprocally proportional: and conversely, parallelograms that have one angle of the one equal to one angle of the other, and their... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...other, and the sides containing the equal angles proportional. Two rhombuses are similar, when they have an angle of the one equal to an angle of the other. All squares are similar figures. All regular polygons of the same number of sides are similar figures.... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...through all the points of contact. 8. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional, and parallelograms that have one angle of the one equal to one angle of the other, and their sides about... | |
 | Euclides - 1861 - 464 pages
...also be united here. PROP. 15. — THEOn. Equal angles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proD. 1 H. &C. 2 7. V. 3 1,V. 4 11, V. 5 Cone. E. 1 H. CASE II. 2 Cone. D. 1 H. & 1, VI. 2 1,VI. S... | |
 | Robert Potts - 1865 - 528 pages
...parallelograms, &c. QED PROPOSITION XV. THEOREM. Equal triangles which hare one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : and conversely, triangles which have one angle in the one egiial to one angle in the other, and their sides... | |
 | Euclides - 1865 - 402 pages
...given straight lines. Prop. 14. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : and conversely, parallelograms that have one angle of the one equal to one angle of the other, and their... | |
 | John Playfair - Geometry - 1855 - 350 pages
...is found. PROP. XIV. PROS. Equal parallelograms which have one angle of the one equal to one an^le of the other, have their sides about the equal angles reciprocally proportional: And parallelograms which have one angle of the one equal to one- angle of the other, and their sides about... | |
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Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides... 
