 | 1833 - 414 σελίδες
...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, Sic.' The phrase in italics is not an English idiom, but the literal translation of the Greek Ixserega... | |
 | Thomas Perronet Thompson - 1833 - 168 σελίδες
...respectively, and also the angles between those sides equal to one another. Wherefore, universally, if two triangles have two sides of the one, equal to two sides of the other respectively ; &c. Which was to be demonstrated. PROPOSITION V. THEOREM. — In any isoskeles... | |
 | Euclides - 1834 - 518 σελίδες
...likewise those which are terminated in the other extremity. 9. ED PROPOSITION VIII. THEOR. — If two triangles have two sides of the one, equal to two...one, shall be equal to the angle contained by the two tides equal to them, of the other, ' Let ABC, DEF be two triangles, having the two sides AB, AC equal... | |
 | Robert Simson - 1835 - 544 σελίδες
...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 σελίδες
...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... | |
 | 1835 - 684 σελίδες
...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 - 1836 - 148 σελίδες
...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... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...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... | |
 | 1836 - 488 σελίδες
...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... | |
 | 1836 - 502 σελίδες
...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.... | |
| |
If two triangles have two sides of the one equal to two sides of the... 
