 | William Robinson Pirie - Brain - 1858 - 670 pages
...foundation of all geometry, consists of two axioms united. The first is to the effect, that "if two triangles have two " sides of the one equal to two sides of the other, " and the angle betwixt them equal, the sides will " lie upon each other." As the " angle" is... | |
 | Isaac Todhunter - Spherical trigonometry - 1859 - 156 pages
...is positive, negative, or zero; thus we obtain all the results included in Arts. 33—36. 57. If two triangles have two sides of the one equal to two sides of the other, each to each, and likewise the included angles equal, then their other angles will be equal,... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...more i/han the hind wheel in going 120 yards. Required the circumference of each wheel. 11. 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... | |
 | Euclides - 1860 - 288 pages
...which the vertex of one triangle is upon a side of the other, needs no demonstration. 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...demonstration. 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 tlie other, each to each, and have likewise their bases equal; the angle which is contained by the... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...triangle abc, (fig. 14), ab is greater than ac, then is also / acb greater than /_ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...REV. G. FEOST, MA 1. Any two sides of a triangle are together greater than the third side. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle... | |
 | John Paxton Hall - 1860 - 186 pages
...xteen-hundred-and-sixty-four ten-thousandth's of unity represented by '0404 ? EUCLID, ALGEBRA, AND TRIGONOMETRY. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle... | |
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...put the letters QED ie Quod erat demonstrandum, ' which was to be proved.' Proposition 4. 49. If two triangles have two sides of the one equal to two sides of the other each to each and also the angles contained by those sides equal, the two triangles are equal... | |
 | William Benjamin Smith - Geometry, Modern - 1892 - 314 pages
...(why?) ; hence AM "+ (why?), m&AOAD, OY AC>A'C'. Hence Theorem XXVI. — Two A having two sides of one equal to two sides of the other, but the included angles unequal, have also the third sides unequal, the greater side lying opposite the greater angle. Conversely, Two... | |
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THEOREM. IF two triangles have two sides of the one equal to two sides of the... 
