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" IF two triangles have two sides of the one equal to two sides of the... "
Pure mathematics - Seite 112
von Edward Atkins - 1874
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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
...two straight lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...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 - 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

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

Euclides - 1816 - 588 Seiten
...another, and likewise those which are terminated in the other extremity. QED PROP. VIII. THEOR. If two triangles have two 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...
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