 | John Keill - 1723 - عدد الصفحات: 444
...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 - عدد الصفحات: 236
...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 - 1733 - عدد الصفحات: 444
...; 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 - 1806 - عدد الصفحات: 546
...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 - 1806 - عدد الصفحات: 320
...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 - عدد الصفحات: 714
...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 - عدد الصفحات: 588
...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 - عدد الصفحات: 354
...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 - 1822 - عدد الصفحات: 508
...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 - 1825 - عدد الصفحات: 1046
...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... | |
| |
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... 
