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" If two triangles have two sides of the one equal to two sides of the... "
Self-examinations in Euclid - Pągina 9
per John Martin Frederick Wright - 1829 - 188 pągines
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 pągines
...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 other, each to each, and the Bafe of the one greater than the Bafe of the other ; they jh 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 pągines
...lefler Line C ; which was to be done. PROPROPOSITION IV. THEOREM. If there are two Triangles that have two Sides of the one equal to two Sides of the other, each to each, and the Angle contained by thofe equal Sides in one Triangle equal to the Angle contained by the correfpondent...
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 338 pągines
...much more then muft л. BDC be Г æ_ 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 pągines
...firjt Right Lines have ; which was to be demonftrated. PROPOSITION VIII. THEOREM. If two Triangles have two Sides of the one equal to two Sides of the other, each to each^ ana the Bafes equal, then the Angles contained under the equal Sides will be equal. LE T the two Triangles...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 pągines
...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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pągines
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 pągines
...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 ..., Volum 5

John Mason Good - 1813 - 714 pągines
...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, Volum 2

Charles Butler - 1814 - 582 pągines
...denied, and the 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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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - 352 pągines
...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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