 | Edward Adolphus Seymour (11th duke of Somerset.) - 1851 - 84 pages
...because the angles OVK and IVY -are vertical angles, they are equal Therefore the triangles KVO and IVY 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 one another. Wherefore,... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...(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... | |
 | London univ - 1852 - 358 pages
...greater of two given straight lines to cut off a part equal to the less. 3. Show that 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... | |
 | Euclides - 1852 - 152 pages
...Join AG. BAG shall be the angle required.] * xxiii. 1. * iii. 1. PROP. XXIV. THEOR. 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... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...shown that BO+00<BD+DC: therefore, still more is BO+OC<BA+AC. PROPOSITION IX. THEOEEM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle ; and we have sa = SA, and ad' = arf = AD: wherefore the two rightangled triangles SAD, sad' have two sides of the one equal to two sides of the other, and hence the third sides SD, sd' are also equal, and the angles opposite to these equal, viz.,... | |
 | Euclides - 1853 - 146 pages
...upon the same base, and on the same side of it, &c. QED PROP. 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... | |
 | Euclides - Geometry - 1853 - 176 pages
...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 the other, each to each, and have likewise their bases equal ; the angle which is contained by the two... | |
 | Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...than the angle C. Much more, then, is the angle ABC greater than CQED THEOREM 17. If two triangles have two sides of the one equal to two sides of the other, each to each, and an angle opposite one of the equal sides in each, triangle equal, then will... | |
 | Popular educator - 1852 - 1272 pages
...sides also which subtend the equal angles, shall be equal to one another. 4. Show that 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... | |
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If two triangles have two sides of the one equal to two sides of the... 
