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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... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 21
by Robert Simson - 1827 - 513 pages
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...to be done. PROP. XXIV. THEOR. SeeN. IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them, of the other. Let ABC, DEF be two triangles, having the two sides AB, AC, equal to the two sides DE, DF, each to...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 294 pages
...the other, each to each. For (Art. 86.) the angle contained by any two sides of the one is equal to the angle contained by the two sides equal to them of the other. PROP. V. (198.) Theorem. The arches of great circles, which join the extremities of two equal arches...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819
...of the one equal to two sides of the other, each to each, but the angle contained by the two ;ides of one of them greater than the angle contained by...the other ; the base of that which has the greater ancle shall be greater than the base nf the other. Prop. XXV. Theor. If two triangles have two sides...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 pages
...Which was to be done. PROP. XXIV. THEOR. 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 the one greater than the angle contained by the two sides of the other ; the base of that which has...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821
...respectively equal to tieo sides of theother,and the angle contained by those two aides of the one equal to the angle contained . •by the two sides equal to them of the other, their bases or third sides shall be equal, also the angles at the bases shall be equal, via. those...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...to be done. Proposition XXIf. Theorem. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained...of them greater than the angle contained by the two »ides equal to them, of the other ; the base of that which has the greater angle shall be greater...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...of the one greater than the angle eontained by the two sides of the other ; the base of that whieh has the greater angle shall be greater than the base of the other. ' Let ABC, DEF he two triangles whieh have the two sides AB, AC equal to the two DE, DF eaeh to eaeh,...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 272 pages
...have likewise their bases equal, the angle contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them of the other. Let А В С, DEF be two triangles, having the two sides of the one equal to two sides of the other,...
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