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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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 Seiten
...therefore also 6. BC is greater than EF. Therefore, if two triangles, &c. QED PROP. 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 of...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 Seiten
...also b С is greater than ef Therefore, if two triangles, &c. 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 oftlie Other; the angle also contained by the sides of...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' have two sides of the one equal to two sides of the other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 Seiten
...that BO+OC<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOREM. 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...
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The popular educator, Bände 5-6;Band 8

Popular educator - 1854
...any angle of a triangle bisecting the opposite side, bisects the triangle. Corollary 2. — If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by the two sides of the one, the supplement of the angle contained by the two sides...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 Seiten
...ABC is an equilateral triangle and it is described upon the straight line AB. 24. PROP. II. If two triangles have two sides of the' one equal to two sides of the other, each to each, and have likewise the angles formed by those sides equal to one another, they shall also have their bases,...
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Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - 1854 - 350 Seiten
...is greater than the angle C. Much more, then, is the angle ABC greater than CQED THEOREM 17. If two triangles have two sides of the one equal to two sides of the other, each to each, and an angle opposite one of the equal sides in each, triangle equal, then will the two triangles be equal....
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...pair of opposite triangles thus formed will be together equal to half the parallelogram. 14. If two triangles have two sides of the one equal to two sides of the other, each to each, and if the angle contained by the two sides of the one, together icit/i that contained by the two sides...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 500 Seiten
...Moors, MA 1. Upon a given base describe an isosceles triangle equal to a given triangle. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle» opposite a pair of equal sides equal : then if the angles opposite to the other pair of equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 Seiten
...the given point A, an angle equal to the given angle DCE. QEF PROPOSITION 24. If two triangles /iMve two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one greater than the angle contained by the corresponding...
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