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" If two triangles have two sides of the one equal to two sides of the... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 18
por John Playfair - 1847 - 317 páginas
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

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

Royal Military Academy, Woolwich - 1853
...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 mensuration

Thomas Lund - 1854 - 192 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, or third sides,...
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The popular educator, Volúmenes5-6

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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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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Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - 1854 - 335 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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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 432 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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The popular educator, Volumen4

Popular educator - 1852
...above mentioned. Let лис, fig. 1, and DBF, figs. 2, 3, aud 4, be two triangles which have two Rides of the one equal to two sides of the other each to euch, viz., the side AB to the side DE, and the side AC to the side DF, but the angle ВАС greater...
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The Quarterly Journal of Pure and Applied Mathematics, Volumen7

1866
...Corollary just as I. 5 follows out of I. 4. Now the general proposition I. 4 is as follows: If two triangles have two sides of the one equal to two sides of the other, each to each, and have also the angles contained by those sides equal to one another, they also have their basis on third...
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