 | Euclid, John Playfair - 1846 - 334 pagina’s
...other, and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the...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 be equal,... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...greater of two str. lines, a part AE has been cut off= C, the less. PROP. IV. THEOR. 4. 1 Eu. 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 ; they shall likewise have their... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...greater of two str. lines, a part AE has been cut off = C, the less. PROP. IV. THEOR. 4. 1 Eu. 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 ; they shall like-wise have... | |
 | Euclides - 1846 - 292 pagina’s
...the other, needs no demonstration. Wherefore, Upon the same base, %c. QED PROP. VIII. THEOR. If two triangles have two sides of the one equal to two sides of the other, each to each, and have also their bases equal, the angle which is contained by the two sides of the one shall be equal... | |
 | 1845 - 472 pagina’s
...I shall conclude (for the present), Mr. Editor, by proposing the following proposition :— If tiro triangles have two sides of the one equal to two sides of the other, each to each, and also their areas er/ual, and if the angle contained by two of Ike sides be. H right angle, /he- nmjlc... | |
 | Euclides - 1847 - 128 pagina’s
...has been described upon the gn. straight line AB. — QEF PROP. IV. THEOREM. GEN. ENUN. — 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, they shall likewise have their bases, or third... | |
 | Euclides - 1848 - 52 pagina’s
...greater of two given straight lines, to cut off a part equal to the less. PROP. 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 ; they shall likewise have... | |
 | George Clinton Whitlock - 1848 - 338 pagina’s
...(108), BC = BI + IC = BI +1D > BD. QED Cor. 1. Conversely, if two triangles have two sides of (117) the one equal to two sides of the other, each to each, but the third sides unequal, the opposite angles will be unequal and that will be the greater which... | |
 | Great Britain. Council on Education - 1848 - 596 pagina’s
...parallel to the same straight line are parallel to one another. 2. If two triangles have two sides qf 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... | |
 | Euclid, Thomas Tate - 1849 - 120 pagina’s
...of the other, and 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...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... | |
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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 third sides, equal; and the two triangles shall... 
