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" If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to each other; they shall likewise have their bases, or third sides, equal; and the two triangles shall... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Page xxiii
by John Keill - 1782 - 399 pages
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...co-incide, and confequently the Angle BAG will co-incide with the Angle EDF, and will be equal to it. Therefore if two Triangles have two Sides of the one...equal to two Sides of the other, each to each, and the Bafes equal, then the Angles contained under the equal Sides will be equal; which was tp be demonftrated....
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...greater than the fide E F. If therefore two triangles have two fides of the one equal to two fides of the other, each to each ; and the angle of the one contained by the equal right lines greater than the angle of the other ; then will the bafe of the one he greater...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...DCE ; whicli was to be done. PROPOSITION XXIV. THEOREM. Jj iwo 'Triangles have two Sides of tbe one equal to two Sides of the other, each to each, and the;. Dingle of the one contained under tbe equal Right Lines, greater than the ccrrefpondent Angle of the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...of the other, and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the...equal to two sides of the other, each to .. each, and have likewise the angles contained by those sides equal to one another, their bases shall likewise...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...terminated in the other extretnity equal to one another. QED »»\ PROP. VIII. THEOR. .V '" IF two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their biases equal ; the angle which is contained by the two sides of the one' shall...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...those which are terminated in the other extremity. QED PROP. VIII. THEOR. IF two triangles haveTwo sides of the one equal to two sides of the other, each to each, and have likewise their bases equal; the angle which is contained by the two sides of the one shall be...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...tl.e greater of Mi) giren straight lines to cut off a part equal to the less. Prop. IV. Theor. If two triangles have two sides of the one equal to two sides of the other, each to each; and have likewise the angles contained by those sides equal to one another; they shall likewise have their...
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...predicate is that which is affirmed or denied of the subject : thus, in prop. 4. tu-o triangles having two sides of the one equal to two sides of the other, each to each, and the included angles equal, is the subject ; and that such triangles tcill have their bases equal, their...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...the other, and be equal to them, viz. the angle ABC to the angle DEF, and the angle .frjft"lo DFE. ' Therefore, if two triangles have two sides of the...equal to two sides of the other, each to each, and hsaHj^kewisethe angles contained by those sides equal to one another, their bases shall likewise be...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 352 pages
...made, in the sphere's surface, equal to the given angle. PROP. IX. (97-) Theorem. If two spherical triangles have two sides of the one equal to two sides of the other, each to each, and have, also, the included angles equal, their third sides shall be equal, and their remaining angles,...
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