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" If two triangles have two sides of one equal respectively to two sides of the other... "
Plane and Solid Geometry - Σελίδα 47
των Fletcher Durell - 1911 - 546 σελίδες
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A Treatise on Algebra

George Peacock - 1830 - 732 σελίδες
...involving them) and also tor the third jf we should take, therefore, as in Geometry, two triangles which have two sides of one equal respectively to two sides of the other, and the included angles equal, then the respective equality of the remaining angles in each triangle...

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1856 - 460 σελίδες
...THEOREM XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angle of the first greater than the included angle of the second, the third side of the first will be greater than the third side of the second. FIRST BOOK. In the two...

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 472 σελίδες
...XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and, the included, angle of the first greater than the included angle of the second, th'> third side of the first will be greater than the third side of the second. In the two triangles...

An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 286 σελίδες
...the triangles are unequal (fig. 79). When two triangles have two sides of the one respectively equal to two sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which has the greater angle is greater...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 σελίδες
...second. 2nd. Example. — A similar series of propositions occurs again in Theorems V. and XIII. " When two triangles have two sides of one equal respectively to two sides of the other," and — (a) " The included angle of the one equal to the included angle of the other, the base of one...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 436 σελίδες
...two spherical triangles have two sides of the one equal respectively to two sides of the other, hut the included angle of the first greater than the included...angle of the second, then the third side of the first will be greater than the third side of the second. 3. To draw an • arc perpendicular to a given spherical...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 σελίδες
...THEOREM. 115. If two triangles hare two sides of the one equal respectively to two sides of the oiher, but the included angle of the first greater than the included angle of the second, then the third siile of the ftrsl will be greater than the third side nf the second. BDB In the AAB С and AB К,...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 416 σελίδες
...have two sides of the one equal respectively to two sides of the other, but the included angle of tlie first greater than the included angle of the second, then the third side of the first will be greater than the third side of the second. • In. the AAB С and ABE, let AB = AB, BC = BE;...

Harvard Examination Papers

Robert Fowler Leighton - 1877 - 372 σελίδες
...that when two triangles have two sides of the one respectively equal to two sides of the other and the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. 3. Show how to draw a tangent...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 426 σελίδες
...triangle is also equilateral. PROPOSITION XXXI. THEOREM, 115. lf two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of thefirst greater than the included angle of the second, then the third side of the first will be greater...




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