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" If two triangles have two sides of the one equal to two sides of the... "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 26
von Euclides - 1856
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An Easy Introduction to the Mathematics: In which the Theory and ..., Band 2

Charles Butler - 1814 - 528 Seiten
...or denied of the subject : thus, in prop. 4. two triangles having two sides of the one equal to tiro sides of the other, each to each, and the included angles equal, is the subject ; and that such triangles will have their bases equi.l, their othtr angles equal, and...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 Seiten
...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 - 1816 - 294 Seiten
...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 - 1817 - 436 Seiten
...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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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 490 Seiten
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 Seiten
...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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New Series of The Mathematical Repository, Band 4

Thomas Leybourn - 1819
...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; »hew...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819 - 740 Seiten
...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 - 317 Seiten
...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 - 1821 - 254 Seiten
...= 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 19 ; shew...
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