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" If two triangles have two sides of the one equal to two sides of the... "
Elements of Geometry and Trigonometry - Side 18
av Adrien Marie Legendre - 1836 - 359 sider
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 sider
...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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The popular educator, Volumer 5-6;Volum 8

Popular educator - 1854 - 922 sider
...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 - 520 sider
...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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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 sider
...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 - 350 sider
...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, Volum 4;Volum 7

Popular educator - 1852 - 1272 sider
...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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Documents of the Board of Education of the City of New York

1855 - 1124 sider
...ACADEMY. EXAMINATION PAPERS, JCLT, 1854. LEOENDRE'S GEOMETRY. Introductory Class. 1. Prove that, if two triangles have two sides of the one equal to two sides...third sides will be unequal; and the greater side will Jbelong to the triangle which has the greater included angle. 2. Prove that two parallels intercept...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 sider
...the duty is paid, what ought unroasted coffee to cost, neglecting the expense of roasting? 9. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal; the angle which is contained by the two sides of the one shall be...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 sider
...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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Elementary Synthetic Geometry

George Bruce Halsted - 1896 - 208 sider
...that cutting the axis is the greater. Proof. BA=BC+ CA = BC + CA'>BA'. 406. Theorem. If two spherical triangles have two sides of the one equal to two sides of the other, but the included angles unequal, then that third side is the greater which is opposite the greater...
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