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" IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 36
των John Playfair - 1819 - 333 σελίδες
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 σελίδες
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other; the base of that which has the greater angle shall be greater than the base of thfe other. Let ABC, DEF be two triangles, which have the two B'x.' J. sides AB, AC, equal to the two...

A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - 352 σελίδες
...contained by those two sides of the one, greater than the angle contained by the two sides equal to them of the other, the base of that which has the greater...angle shall be greater than the base of the other. The proposition is proved, by the help of the preceding articles, in the same manner as is the twentyfourth...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall be greater than the base of the dtiier. Let ABC, DEF be two triangles, which have the two BcM L sides AB, AC, equal to the two DE,...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 σελίδες
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other; the base of that which has the greater...base of the other.* Let ABC, DEF be two triangles whichhavethetwosides AB, • See Note. AC equal to the two DE, DF, each to each, viz. AB equal to DE,...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD ; also one side equal...

Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 σελίδες
...contained by the equal sides of the one be greater than the angle which is contained by the equal sides of the other. Let ABC, DEF, be two triangles, which have the two sides AB, AC, equal to the two sides DE, DF, each to each, viz. the side A в equal to the side DE, and the side AC to the side DF....

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...contained by the equal sides of the one be greater than the angle which is contained by the equal sides of the other. Let ABC, DEF, be two triangles, which have the two sides AB, AC, equal to the two sides DE, DF, each to each, viz. the side AB equal to the side DE, and the side AC to the side DF....

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 σελίδες
...but the included angle, BAG of the one, greater than the included angle EOF of the other, the base BC of that which has the greater angle, shall be greater than the base EF of the other. Of the two sides AB, AC, let AB be that which is not greater than the other, and,...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 σελίδες
...contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other; the base of that which has the greater...angle shall be greater than the base of the other. * 23. 1. •3.1. tHyp. t Constr. t Constr. •4.1. •5.1. t 9 Ax. • 19. 1. SeeN. B •4,1. Let ABC,...

The Philosophy of Human Knowledge: Or a Treatise on Language. A Course of ...

Alexander Bryan Johnson - 1828 - 216 σελίδες
...what, to most persons, would be uninteresting matter. PROPOSITION IV.— Theorem 1st. Let ABC, DBF be two triangles which have the two sides AB, AC, equal to the two sides DE, DF, each to each ; viz. AB to DE , and. AC to DF ; and the a ngle BAC, equal to the angle...




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