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" If two triangles have two sides of the one equal to two sides of the other, each to each, and the included... "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - الصفحة 202
بواسطة University of Cambridge - 1821 - عدد الصفحات: 425
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - عدد الصفحات: 444
...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 under...

Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - عدد الصفحات: 444
...which was to be demonftrated. PROPOSITION XXV. THEOR EM. 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 j they Jball alfo have the Angles^ contained under...

Easy Introduction to Mathematics, المجلد 2

Charles Butler - 1814 - عدد الصفحات: 582
...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...

Dialogues on the First Principles of the Newtonian System, المجلد 4

Walter Henry Burton - 1828 - عدد الصفحات: 84
...fundamental one, we will prove it. Suppose two triangles, of whatever form, to have two sides of the one equal to two sides .of the other, each to each; and the angle contained between those two sides in the one triangle to be equal to that which is contained...

Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - عدد الصفحات: 210
...part AE has been cut off equal to C, the less. Which was to be done. PROPOSITION IV. THEOREM. IF two triangles have two sides of one triangle equal to two sides of the other, each to each; and have also the angles contained by those aides equal to each other; their third sides will be equal;...

Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - 1829 - عدد الصفحات: 218
...equal in all their parts. And we say universally, — When two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by these two sides of the one, equal to the angle contained by the two sides of the...

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - عدد الصفحات: 584
...meets the base В С in D (Post. 4). Then, because the triangles ADB, ADC have two sides of the one equal to two sides of the other, each to each, and the interjacent angles BAD, CAD equal to one another, their other angles are equal, each to each (4.) ;...

First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - 1830 - عدد الصفحات: 274
...part, only to the coincidence of triangles. QUERY I. If in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them also equal to one another, what relation will these two triangles...

An Elementary Treatise on Geometry: Simplified for Beginners Not ..., الجزء 1

Francis Joseph Grund - 1834 - عدد الصفحات: 212
...triangles, which you have learned in this section ? Am. 1. If, in two triangles, two sides of the one are equal to two sides of the other, each to each, and the angles which are included by them are also equal to one another, the two triangles are equal in all...

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - عدد الصفحات: 684
...equal to the angle А О С (III. 12.) ; and, because the triangles SOB, SOC have two sides of the one equal to two sides of the other, each to each, and the angles SOB, S О С which are included by those sides equal to one another (I. 4.), the base SB is...




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