 | University of Madras - 1879 - 674 pages
...IV. In a given circle inscribe an equilateral and equiangular quindecagon. V. 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... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...proportion being DR is to BE as GB is to BF. PROPOSITION XIV. THEOREM. Eq'ual parallelograms, which have one angle of the one equal to one angle of the ntlur, have thtir sides about the equal angles reciprocally proportional. \ \ \ Let AB, BC be equal... | |
 | Oxford univ, local exams - 1880 - 396 pages
...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 the equal angles reciprocally proportional, are equal to one another. 11. On a given... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...the segments BG, GD, GC of the base shall be in harmonical proportion. 12. 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. ALGEBRA. 1. Prove that se и х... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...parallelogram BC. [V. 9. Wherefore, equal parallelograms &c. QED PROPOSITION 16. THEOREM. 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... | |
 | Education, Higher - 1883 - 536 pages
...proportion. When is a straight line said to be cut in extreme and mean ratio ? 14. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angels reciprocally proportional ; and triangles which have one angle... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...the other two angles each equal to its supplement. I "i 1 . Corollary 2. If two parallelograms Itave one angle of the one equal to one angle of the other, all the remaining angles of the one will be equal to the corresponding angles of the other. 125. Corollary... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...circle. 10. To describe a circle about a given square. 11. Define equal triangles, and prove that ifequal triangles have one angle of the one equal to one angle of the other, then the sides about the equal angles are reciprocally proportional. 12. Show that the linos which... | |
 | University of Glasgow - 1883 - 438 pages
...EBC together make up a right angle. 4. Inscribe u circle in a given triangle. 5. Parallelograms that have one angle of the one equal to one angle of the other, and their, sides about the equal angles reciprocally proportional, are equal to one another. 6. Simplify... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...parallelogram BC. [V. 9. Wherefore, equal parallelograms &c. QED PROPOSITION 15. THEOREM. Equal triangles which have one angle of the one equal to one angle of the other, have their fides about the equal angles reciprocally proportional; and triangles which have one angle... | |
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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... 
