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" If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.... "
Essentials of Solid Geometry - Page 10
by David Eugene Smith - 1924 - 238 pages
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 376 pages
...each, and if the included angle in the first triangle is greater than the included angle in the second, the third side of the first is greater than the third side of the second, and conversely. 1st. Let ACD and PQR be two triangles in which AC is equal to PQ, CD to QR and ACD...
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 412 pages
...each, and if the included angle in the first triangle is greater than the included angle in the second, the third side of the first is greater than the third side of /he second, and conversely. 1st. Let ACD and PQR be two triangles in which AC is equal to PQ» CD to...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...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;...
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Harvard Examination Papers

Robert Fowler Leighton - 1877 - 372 pages
...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 to a circle from a point without the circle, and prove your method correct....
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 pages
...sides of the one equal respectively to two sides of the other, but 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. In the spherical A ABC and A'B'C, let AB = A'B',AC...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...sides of the one equal respectively to two sides of the other, but 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. BB В In the А ABC and ABE, let AB = AB, BC —...
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Report of the School Committee of the City of Providence, Presented to the ...

Public schools - 1884 - 634 pages
...sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then...first is greater than the third side of the second. 8. Prove that if the middle points of the three sides of a triangle be joined, the triangle formed...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...sides of the one equal respectively to two sides of the other, but 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. HYPOTHESIS. AB = DE, and AC = EF, but £ BAG > £...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...sides of the one equal respectively to two sides of the other, but 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. HYPOTHESIS. ABC and DEF are two triangles, in which...
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A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...sides of the other, and the included angles of the first greater than that of the second, prove that the third side of the first is greater than the third side of the second. Also prove the converse of this theorem. 3. Similar triangles (and similar polygons) are to each other...
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