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" If two triangles have two sides of the one equal to two sides of the other... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 16
by John Playfair - 1845 - 317 pages
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...fame Ends which thefirjt right Lines have; which was to demonftrated. PROPROPOSITION VIII. THEOREM. If two Triangles have two Sides of the one equal to two Sides of the other, each to each, and the Bafei equal, then the Angles contained under the equal Sides will he equal. T ET the two Triangles...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...Side EF. But the Side EG is equal to the Side B C. Whence BC is likewife greater than EF. Therefore if two Triangles have two Sides of the one, equal to two Sides »f the ether, each to each, and the Angle of the one, contained under the equal Right Lines, greater...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...confequently the Angle BAC will co-incide with the Angle EDF f, and will be equal to it. Therefore, if two Triangles have two Sides of the one equal to two Sides of the other t each to each, and the Bafes equal, then the Angles contained under the equal Sides vnll bt equal;...
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...; much more then muft л. BDC be Г ¿_ A. Q^ ED PI.2.FI 92- THEOREM 14. If two Triangles ABC, DEF, have two Sides of the one equal to two Sides of the other, each to eacbi viz. AB — DE, and AC — DF; eut the contained Angle of one greater than the contained Angle...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 476 pages
...confequently the Angle BAG will co-incide with the Angle EDF f, and will be equal to it. Therefore, if two Triangles have two Sides of the one equal to two Sidsi of the oiher, each to each, and the Bafes equal, then the Angles contained under the equal Sides...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...are equal to the two ED, DG, each to each, and the angle BAC is equal AD c4. PROP. XXV. THEOR. dS. 1. IF two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle also contained by the sides of...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1899 - 756 pages
...Also prove the proposition by bisecting one of the angles instead of producing one of the sides. 4. 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 greater Complete the enunciation and prove the proposition....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...and therefore also BC is greater than*F. Therefore, if two triangles, &c. QED c4. ds.l. paep. xxv. THEOR. IF two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle also contained by the sides of...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...extremity of the base equal to one another, and likewise those which are terminated in the other extremity. Prop. VIII. Theor. If two triangles have two sides of the one equal to two sidfs of the other, each to each, and have likewise their bases equal ; the angle which is contained...
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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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