Books Books If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ... - Page 30
by John Mason Good - 1819 ## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...parallelogram BC. Therefore equal parallelograms, Sec. Q^ ED PROP. XV. THEOR. EQUAL triangles which have one angle of the one equal to one angle of the other, have their fides about the equal angles reciprocally proportional : And triangles which have one angle... ## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
..."parallelogram BC. Therefore equal parallelograms, &c. D. Book VI. PROP. XV. THEOR. EQUAL triangles which have one angle of the one equal to one angle of the other, have their fides about the equal angles reciprocally proportional. and triangles which have one angle... ## Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1804 - 440 pages
...triangle DEF. Wherefore, if two triangles, fitc. Q^ ED PROP. PROP. VII. THE OR. IF two triangles have ow angle of the one equal to one angle of the other, and the fides about two other angles proportionals, then, if each of the remaining angles be either lefs,... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...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...reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms, which have the angles at B equal ; the A Jj< sides about the equal... ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...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...reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms, which have the angles at B equal, and let the sides 1)1!, BE be... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...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,...reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms, which have the angles at B equal, and let the sides DB, BE be placed... ## Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814
...a6=the square of the product, wherefore ^ai^zthe product. 234. Prop. 23. Hence, if two triangles have one angle of the one equal to one angle of the other, they will have to each other the ratio compounded of the ratios of the sides about their equal angles;... ## A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 294 pages
...is equal to FE, and the angle ABC to EFG. PROP. XIX. (114.) Theorem. If two spherical triangles have one angle of the one equal to one angle of the other, and have also the two sides about another angle in each severally equal, and if the third angle, in each,... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...: And because HE 'i«£ THE 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... 