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" If two triangles have two sides of the one equal to two sides of the... "
Spherical Trigonometry ... - Página 28
por Isaac Todhunter - 1859 - 275 páginas
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 páginas
...been shown that BO+00<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. 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...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 páginas
...therefore also BC is greater than EF. Therefore, if two triangles, &c. QED PEOP. 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; 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 páginas
...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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 páginas
...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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 páginas
...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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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 páginas
...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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Elements of geometry and mensuration

Thomas Lund - 1854 - 520 páginas
...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 páginas
...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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The popular educator, Volúmenes5-6;Volumen8

Popular educator - 1854 - 922 páginas
...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 Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 páginas
...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...
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