 | London univ - 1852 - 358 pages
...From the 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 shall likewise have their bases, or... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...been 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 side will belong to the... | |
 | Euclides - 1852 - 152 pages
...therefore also BC is greater than EF. Therefore, if two triangles, &c. QED PEOP. XXV. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle also contained by the sides of... | |
 | Euclides - Geometry - 1853 - 176 pages
...also b С is greater than ef Therefore, if two triangles, &c. QED PROPOSITION XXV. — THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base oftlie Other; the angle also contained by the sides of... | |
 | Euclides - 1853 - 146 pages
...therefore also 6. BC is greater than EF. Therefore, if two triangles, &c. QED PROP. XXV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the base of the one greater than the base of the other; the angle also contained by the sides of... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...another.^PROP. VIII. THEOR. If two triangles have two sides of the one equal to two sides of the othet each to each, and have likewise their bases equal ; the angle which is contain ed by the two sides of the one shall be equal to the angle contained by the twosides of the... | |
 | 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.,... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...ABC is an equilateral triangle and it is described upon the straight line AB. 24. PROP. II. If two triangles have two sides of the' one equal to two...sides of the other, each to each, and have likewise the angles formed by those sides equal to one another, they shall also have their bases, or third sides,... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...pair of opposite triangles thus formed will be together equal to half the parallelogram. 14. If two triangles have two sides of the one equal to two sides of the other, each to each, and if the angle contained by the two sides of the one, together icit/i that contained by the two sides... | |
 | Popular educator - 1854 - 922 pages
...any angle of a triangle bisecting the opposite side, bisects the triangle. Corollary 2. — If two triangles have two sides of the one equal to two sides of the other, each to each, and the angle contained by the two sides of the one, the supplement of the angle contained by the two sides... | |
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If two triangles have two sides of the one equal to two sides of the... 
