Books Books ... the third side of the first is greater than the third side of the second. Elements of Geometry: Plane geometry - Page 47
by Andrew Wheeler Phillips, Irving Fisher - 1896 ## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...Conversely. If two triangles have two sides of the one respectively equal to two sides of the other, and the third side of the first greater than the third side of the second, the included angle of the first will be greater than the included angle of the second. For, if the... ## Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 472 pages
...EC to each; then BC = DE + EC. But DE + EC, is greater than DC. Therefore BC>DC. Hence the theorem ; if two triangles have two sides of one equal to two sides of the other, etc. THEOREM XXIII. A perpendicular is the shortest line that can be drawn from any point to... ## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 470 pages
...Conversely. If two triangles have two sides of the one respectively equal to two sides of the other, and the third side of the first greater than the third side of the second, the included angle of the first will be greater than the included angle of the second. For, if the... ## Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...to each ; then BC = DE + E0. But DE + E0 is greater than DC. Therefore BC> DC. Hence the theorem ; if two triangles have two sides of one equal to two sides of the other, etc. Cot. Any point out of the perpendicular drawn from the middle point of a Hne, is unequally... ## Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...triangle be equal respectively to two sides of another, but the third side of the flrst triangle be greater than the third side of the second, then the angle opposite the third side of the first triangle is greater than the angle opposite the third side of the second. C Li In the &ABC and A' B'... ## Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...respectively to two sides of another, but the third side of the first triangle be greater titan tlie third side of the second, then the angle opposite the third side of the jirst triangle is greater than the angle opposite the third side of the second. In the AAB С and A'... ## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...FH= GHDH common./ , (I. 2), £tf + HF > EF \BG'> EF. (Constr.), EG = BC/ Proposition 23. Theorem. — If two triangles have two sides of one equal to two sides of the other, each to each, but the third sides unequal, the angle contained by the two sides of the one which... ## Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...questions to be answered. _ 1. From a given point draw a straight line equal to a given straight line. 2. If two triangles have two sides of one equal to two sides of the other, each to each, and likewise their bases equal, the two triangles shall be equal in every respect.... ## Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...triangle be equal respectively to two sides of another, but the third side of t/nfirst triangle be greater than the third side of the second, then the angle opposite the third side of the f'rst triangle is greater than the angle opposite the third side of the second. In the АABСапdA'B'C',... 