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" If two triangles have two sides of the one equal to two sides of the... "
Elements of geometry: consisting of the first four,and the sixth, books of ... - Seite 9
von Euclides - 1842
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 Seiten
...the one -u> ill be 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...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 444 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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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 338 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 - 476 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 - 546 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 - 320 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 - 554 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 equal to the angle...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 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 - 582 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...therefore also BC is greater thanEF. Therefore, if two triangles, &c. QED 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 ; th« angle also contained by the sides...
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