 | 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 - Mathematics - 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 - 546 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 - 714 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 - 588 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 - 354 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 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 - 1046 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 - 276 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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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... 
