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" If two triangles have two sides of the one equal to two sides of the... "
Elements of Geometry and Trigonometry - Page 18
by Adrien Marie Legendre - 1837 - 359 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 352 pages
...interior opposite angle, of the spherical triangle PBC. PROP. XVII. (111.) Theorem. If two spherical triangles have two sides of the one equal to two sides of the other, eadi to each, but the angle contained by those two sides of the one, greater than the angle...
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...that space will be a maximum when the segments are equal. PROP. V. 8. Theorem. Of all triangles having two sides of the one equal to two sides of the other, each to each, that which has the two sides perpendicular to each other is the greatest. Let the triangle ACB have...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...FAG is made equal to the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained by the two sides...
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A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 486 pages
...the greater of the two given figures above the less. PKOP. LXXIII. 96. THEOREM. If two right-angled triangles have two sides of the one equal to two sides of the other, each to each, the triangles shall be equal, and similar to each other. If the two sides about the right-angle of...
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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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...rectilineal angle equal to a giren rectilineal angle. Prop. XXIV. Theor. If two triangles have two ¿in of the one equal to two sides of the other, each to each, but the angle contained by the two ;ides of one of them greater than the angle contained by the two...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the othtr, each to each, and have likewise the angles contained by those sides equal to one another ; their...
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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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...the given rectilineal angle DCE. Which was to be done. PROP. XXIV. THEOR. IF two triangles havftwo sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two...
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