| Euclid - 1728 - 236 pages
...i.5. 145 PROP. XV. Equal Wangles ABC, DBE, hailing one Angle ABC of the one equal to one Angle DBE **of the other, have their Sides about the equal Angles reciprocally proportional.,** vix,. AB: BE:: DB : BC- and»ihoje Triangles ABC, DBE that have one Angle ABC equal te one Angle DBE,... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...Which was to be done. PROP. XIV. THEOR. EQUAL parallelograms, which have one angle of one equal to one **angle of the other, have their sides about the equal angles reciprocally proportional ; and** parallelograms which have one angle of one equal to one angle of the other, and their sides about the... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...be done. Book VI PROP. XIV. THEOR. 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 ono» equal to one angle of the other, and their sides about... | |
| John Mason Good - 1813 - 722 pages
...straight lines. Prop. XIV. Theor. Equal parallelograms which have one angle of the one equal to one **angle of the other, have their sides about the equal angles reciprocally** proport ional : and parallelograms that have one angle of the one equal to one angle of the other,... | |
| Euclides - 1816 - 528 pages
...ELEMEtftS Booif Vl. PROP. XIV. TttEOR. 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... | |
| John Playfair - 1819 - 317 pages
...was to be done. PROP. XIV. THEOR. 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 hare one angle of the one equal to one angle of the other, and their sides about... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...&c. Q,. ED PROP. XV. THE'OR. Equal triangles which have one angle of the one equal to one angle ofthi **other, have their sides about the equal angles reciprocally proportional : And triangles** which have one angle in ihe one equal to one angle in ihe other, and their sides about the equal angles... | |
| Rev. John Allen - Astronomy - 1822 - 516 pages
...of AB to BK or HG, and of PB to BL or HE. Cor. 1. — By a similar reasoning it may be proved, that **triangles, which have an angle of one, equal to an angle of the other,** are to each other, in a ratio, compounded of the ratios, of the sides including the equal angles. Cor.... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...ELEMBNTI or EUCLID. PROP. XIV. THEOR. parallelograms, which have ont 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 ene equal to one angle of the other, and their tides about... | |
| George Lees - 1826 - 266 pages
...• * ' Equivalent triangles ABC, ADE, which have one angle BAG of the one, equal to one angle DAE **of the other, have their sides about the equal angles reciprocally proportional ; and triangles** which have one angle of the one equal to- one angle of the other, and their sides about the equal angles... | |
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