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Books Books 111 - 120 of 194 on If two triangles have two sides of the one equal to two sides of the....
" If two triangles have two sides of the one equal to two sides of the... "
Introduction and books 1,2 - Page 307
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 272 pages
...Triangle. — An acute-angled triangle is a triangle which has three acute angles. Theorems. — 1. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angle contained by those sides equal to one another, they...
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Treatise on Trigonometry ...

William Ernest Johnson - Plane trigonometry - 1889 - 504 pages
...opposite angle of the other, are equal in all respects. (4) If two triangles, which are equal in area, have two sides of the one equal to two sides of the other, each to each, then the angle contained by the two sides of the one is equal or supplementary...
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Report of the Secretary for Public Instruction ...

Queensland. Dept. of Public Instruction - Education - 1890
...exertion. EUCLID. December — 2 to 5. For Admission as Pupil-Teacher of the Third Class. 1. 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 each other, they...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Randal Charles John Nixon - Geometry - 1890 - 400 pages
...will be assumed convex, unless the contrary is expressly stated. Proposition 24. THEOREM — If two triangles have two sides of the one equal to two sides of the other, each to each, but have the angle contained by the one pair of sides greater than the angle contained...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...the same line, and the triangles ABC, ACF have one side, AC, common. (See Ex. 76.) Ex. 76.— If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles contained by those sides supplementary, then the triangles shall...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 1

James Andrew Blaikie, William Thomson - Geometry - 1891
...also be perpendicular to QR, RP.PQ. Use Exx. 7 and 6. 10. (Bookwmk, EUCLID, I. 1-27.) 1. If two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles equal which are opposite to one pair of equal sides,...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 406 pages
...PROP. XIII. The greater angle in any triangle has the greater side opposite to it. PROP. XIV. If two triangles have two sides of the one equal to two sides of the other, each to each, but the included angles unequal, the third sides are unequal, and the triangle...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Euclid's Elements - 1891 - 79 pages
...the base of that which has the greater angle shall be greater than the base of the other. 25. 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 contained...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 406 pages
...two right angles (BOOK i., PROP, xvn.), one is obtuse and the other acute. The triangles ABC and BCH have two sides of the one equal to two sides of the other, each to each, but one included angle, B, greater than the other, C. AC is, then, greater than...
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Elementary Synthetic Geometry

George Bruce Halsted - Geometry - 1896 - 164 pages
...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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