 | John Keill - Logarithms - 1723 - 444 pages
...fo the Triangle ABC is equal to the Triangle ADE. Therefore equal 'triangles having one Angle of the one equal to one Angle of the other, have their Sides about the equal Angles reciprocal ; and thofe Triangles that have one Angle of the one equal to one Angle of the other, and... | |
 | 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,... | |
 | Euclid, John Keill - Geometry - 1733 - 444 pages
...; which was to be dernonftrated. PROPOSITION XV, THEOREM. Equal 'Triangles having one Angle of the one equal to one Angle of the other, have their Sides about the equal Angles reciprocal ; and thofe Triangles that have one Angle of the one equal to, one Angle of the other, and... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...parallelograms, &c. Q. E« D. • Book VI. PROP. XV. THEOR. 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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...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 equal angles reciprocally proportional, are equal to one another. Let AB,... | |
 | John Mason Good - 1813 - 714 pages
...between two given 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
...Therefore equal parallelograms, gtc. QED, PROP. XV. TIIEOR. EQU AL 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... | |
 | John Playfair - 1819 - 354 pages
...BC. Therefore equal parallelograms, &c. Q, ED PROP, XV. THEOR. triangles 'which have one angle of the one equal to one angle of the other, have their sides about >k> equal angles reciprocally proportional : And triangles mhich have one angle in the one equal to... | |
 | Rev. John Allen - Astronomy - 1822 - 508 pages
...and the opposite angles are right, because equal to these right angles [by this prop.] Cor. 2.—Two parallelograms, which have one angle of one equal to one angle of another, are mutually equiangular. For the angles, which are opposite these equal angles, are equal... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...Which wa* to be done. 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... | |
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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 conversely, triangles which have one angle in the one equal to one angle in the other, and their sides... 
