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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 angles unequal, the third sides will be unequal; and the greater side will belong to the triangle which has the greater included angle. "
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... - Page 30
by Charles Davies - 1872 - 455 pages
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...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...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...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...
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...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,...
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New Series of The Mathematical Repository, Volume 4

Thomas Leybourn - Mathematics - 1819 - 430 pages
...Moon. TUESDAY EVENING. — MR. PEACOCK. 1. If two spherical triangles have two sides of one triangle •equal to two sides of the other, each to each, and the included angles equal, the triangles are equal in every respect. 2. The modulus of tabular logarithms or M = 4342944819;...
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

University of Cambridge - Mathematics - 1821 - 254 pages
...= 0. Tuesday Evening. — Mr. PEACOCK. 1. If two spherical triangles have two sides of one triangle equal to two sides of the other, each to each, and the included angles equal, the triangles are equal in every respect. 2. The modulus of tabular logarithms or M=. 43429448...
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Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827 - 632 pages
...Paper below. TUESDAY EVENING. MR. PEACOCK. 1. IF two spherical triangles have two sides of one triangle equal to two sides of the other, each to each, and the included angles equal, the tri angles arc equal in every respect. 2. The modulus of tabular logarithms or M = '43429448...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...-— ' 42. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides will...the triangle which has the greater included angle. Let BAC and EDF be the two triangleSj having the side AB= DE,AC=DF,andthe angle A 7 D; then will BC7EF....
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Dialogues on the First Principles of the Newtonian System, Volume 4

Walter Henry Burton - Astronomy - 1828 - 84 pages
...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...
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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - Geometry - 1829 - 218 pages
...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...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...sides of the one respectively equal to two sides of the other, and the included angles unequal, tJie third sides will be unequal ; and the greater side,...the triangle which has the greater included angle. LetBACandEDF be the two triangles, having the side AB= DE,AC=DF,andthe angle A7D ; thenwill BC?EF....
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