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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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 Seiten
...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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 Seiten
...also BC is greater than EF. llierefore, if two triangles, Sic. QED Proposition XXV. Theorem. ' 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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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 236 Seiten
...viz., the angle ABC to the angle DEF, b Ax. 8. and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, 8tc. a. KD PROPOSITION V. THEOREM.* The angles which are at the lose of isosceles triangles...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 Seiten
...viz., the angle ABC to the angle DEF, b Ax. 8. and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, &c. QED PROPOSITION V. THEOREM.* The angles which are at the base of isosceles triangles are...
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Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827 - 638 Seiten
...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 19 ; show...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 Seiten
...another, and likewise those which are terminated in the other extremity. QE J). PROP. VIII. TIIEOR. If two triangles have two sides of the one equal to two sides of the of her, each, to each, and have likewise their bases equal ; the angle which is contained by the two...
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Dialogues on the First Principles of the Newtonian System, Band 4

Walter Henry Burton - 1828 - 84 Seiten
...the proposition is a 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 - 1829 - 218 Seiten
...the two triangles would therefore be 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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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 Seiten
...lines, a part AE has been cut off equal to C the less. Which was to be done. PROP. IV. THEOREM. IF two triangles have two sides of the one equal to two sides of the other, each to eacji ; and have likewise the angles contained by those sides equal to one another, they shall likewise...
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Self-examinations in Euclid

John Martin Frederick Wright - 1829 - 206 Seiten
...considered by Euclid. Of these seven combinations, six of them belong to the case of two triangles, having two sides of the one equal to two. sides of the other, each to each, and one angle to one angle, viz. those to which equal sides are opposite. This case will be fully discussed...
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