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" If two triangles have two sides of the one equal to two sides of the... "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 26
von Euclides - 1856
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1723 - 442 Seiten
...greater than the Bafe of the other; which was to be demonftrated. PROPOSITION XXV, THEOREM. If two Triangles have two Sides of the one equal to two Sides of the other, each to each, and the Bafe of the one greater than the Bafe of the other ; they fh all alfo have the Angles, contain1d tinder...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 397 Seiten
...equal to it. Where^ fore the Angle BAC is neceflarily greater than the Angle EDF. If) therefore, two Triangles have two Sides of the one equal to two Sides of the- other, eachto each, and the Bafe of the one greater than the Bafe of the other ; they Jhall alfo have...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 Seiten
...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 Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 159 Seiten
...; 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 - 1782 - 399 Seiten
...equal to it. Wherefore the Angle BAC is neceflarily greater than the Angle EDF. If, therefore, two Triangles have two Sides of the one equal to two Sides of the tiber, each ts each, and the Baje of the one greater than the Bafe of the other ; they jhatl alfo have...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...therefore also BC is greater than EF. Therefore, if two triangles, &c. QED AS. I. PROP. 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...therefore also BC is greater than EF. Therefore, if two triangles, &c. QED c4. p5. PROP. 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 contained by the sides of that...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 Seiten
...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) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 722 Seiten
...that which has the greater anzle shall he greater thnn the base of the other. Prop. 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 ba<e of the other ; the angle also contained by the sides...
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Easy Introduction to Mathematics, Band 2

Charles Butler - 1814 - 568 Seiten
...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 other tingles equal, and...
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