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" If two triangles have two sides of the one equal to two sides of the... "
Easy Introduction to Mathematics - Σελίδα 235
των Charles Butler - 1814
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The Elements of Euclid: With Many Additional Propositions ..., Μέρος 1

Euclid - 1853 - 176 σελίδες
...case is the other one in which the triangle is not determined; for it is quite possible to have two triangles having two sides of the one equal to two sides of the other, and one of the opposite angles of the one equal to the similar angle of the other, and yet for...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 σελίδες
...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...

The popular educator, Τόμοι 5-6;Τόμος 8

Popular educator - 1854 - 922 σελίδες
...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...

Elements of geometry and mensuration

Thomas Lund - 1854 - 520 σελίδες
...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,...

Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - 1854 - 350 σελίδες
...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....

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

William Somerville Orr - 1854 - 534 σελίδες
...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...

The popular educator, Τόμος 4;Τόμος 7

Popular educator - 1852 - 1272 σελίδες
...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...

Documents of the Board of Education of the City of New York

1855 - 1124 σελίδες
...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 of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater side will Jbelong to the triangle which has...

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 σελίδες
...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...

The Quarterly Journal of Pure and Applied Mathematics, Τόμος 7

1866 - 426 σελίδες
...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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