| Euclid - 1859 - 150 pages
...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 in the one equal to an angle in... | |
| 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 angles 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... | |
| 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... | |
| 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... | |
| Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...found. QEF PROPOSITION 14. THEOREM. 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 which have one angle of the one equal to one angle of the other, and their sides about... | |
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