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" If two triangles have two sides of the one equal to two sides of the... "
Examination papers, and division lists, &c. [afterw.] General certificate of ... - Página 58
por Oxford univ, local exams - 1880
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...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...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...Therefore, upon the same base, and on the same side of it, &c. QED PROPOSITION VIII. — THEOREM. 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 shau...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...viz. G. The angle ABC shall be equal to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, their bases shall likewise...
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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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The popular educator, Volúmenes5-6

Popular educator - 1854
...line drawn from 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...
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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...
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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...
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 páginas
...equal, E F. Conclusion : ABC and HEF being any two triangles, etc. PROPOSITION XV. 149. Theorem : If two triangles have two sides of the one equal to two sides of the Oliver, each to each, but the third sides unequal, the included angles are unequal, and the triangle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1892 - 518 páginas
...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, but the angle contained by the two sides of one greater than the angle contained by the corresponding sides of the other ; then the base of that which...
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