| John Keill - Geometry - 1723 - 364 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
...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 - 393 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... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 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 - Euclid's Elements - 1806 - 311 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, Olinthus Gilbert Gregory - 1813
...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 - Euclid's Elements - 1816 - 528 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 - 317 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 - 494 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 - 372 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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