 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...conditions. Wherefore, universally, if two triangles have two sides &c. Which was to be demonstrated. THEOREM. — If two triangles have two sides of the one, equal to two sides of the other respectively, but the third side of the one is greater than the third side of the other ; the... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...another, and likewise those which are terminated in the other extremity." QED PROP. VIII. THEOR. If two triangles have -two sides of the one equal to two...angle which is contained by the two sides of the one shallbe equal to the angle contained by the two sides equal to them of the other. Let ABC, DEF be two... | |
 | Euclid - 1835 - 540 pages
...greater than EF. Therefore, " if two triangles," &c. QED PROP. XXV. THEOR. If two triangles have tiro 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... | |
 | Mathematics - 1835 - 684 pages
...another in each of the points С, Е. Join AC, AE, В С, BE. Then because the triangles AD С, ADE have two sides of the one equal to two sides of the other, and have also the included angles ADC, ADE equal to one another, the base А С (I. 4.) is equal... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...has just been found that BO + OC< BD + DC ; therefore, still more is BO + OC<BA+AC. PROPOSITION IX. THEOREM. 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... | |
 | John Playfair - Geometry - 1836 - 148 pages
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, 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 one another ; their bases shall likewise be equal, and... | |
 | Mathematics - 1836 - 488 pages
...shall be less than the other two sides of the triangle, but shall contain a greater angle. XXIV. 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 the one greater than the angle contained by the two sides... | |
 | Education - 1836 - 502 pages
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek twrepa.... | |
 | Schoolmaster - 1836 - 926 pages
...as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the literal translation of the Greek '.y.xrepa.... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...the greater of two straight lines, a part AE has been cut off equal to C, the less. PROPOSITION IV. THEOREM. If two triangles have two sides of the one...sides of the other, each to each, and have likewise the angles contained by those sides equal to one another, thenbases, or third sides, shall be equal... | |
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If two triangles have two sides of the one equal to two sides of the... 
