| 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... | |
| 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... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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... | |
| Mathematics - 1836 - 488 pages
...lines which intersect one another, cannot be both parallel to the same straight line." PROP. IV. 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, or third... | |
| 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.... | |
| 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.... | |
| Charles Reiner - Geometry - 1837 - 246 pages
...angle of the one is equal to the third angle of the other ; that is, the triangles are equiangular. **3. 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 these sides equal, their third sides are equal, the triangles... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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 equal to two sides of the other, each to each,** and have likewise the angles contained by those sides equal to one another, thenbases, or third sides,... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...another, and likewise those which are terminated in the other extremity. PROP. VIII. THEOR. 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 : (1.) the angle which is contained by the two sides of the one... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...given straight lines : „ to cut oft' a part equal to \ the less. PROPOSITION IV. Theorem. If two **triangles have two sides of the one equal to two sides of the other, each to each** ; and have also the angles contained by those sides equal; the bases or third sides of the triangles... | |
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