 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...of the one would coincide with the remaining angles of the other respectively, and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. And by parity of reasoning, the like may be proved of all other triangles under the same conditions... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...enunciation are more briefly expressed by savin;;, th2t the tri2ngles are every way equ2l. posite, shall be equal, each to each, viz. the angle ABC to the angle DBF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle DEF, so that the... | |
 | Euclides - 1834 - 518 pages
...the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles, to which the equal sides are opposite, shall...the angle ABC to the angle DEF, and the angle ACB to DFE. For if the triangle ABC be applied to DEF, so that the point A may be on D, and the straight line... | |
 | Euclid - 1835 - 540 pages
...equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the equal sides are opposite shall be equal, each to each." Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...shall the base BC be equal to the bass EF ; and the triangle ABC to the triangle DEF ; and the other angles, to which the equal sides are opposite, shall be equal, each to.each, viz. the angle ABC to the angle -o jn -p T™ DEF, and the angle ACB " ' a U to DFE. For,... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...shall the base BC be equal to the base EV; and the triangle ABC to the triangle DEF; and the other angles, to which the equal sides are opposite, shall...angle, ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle DEF, so that the point A may be on D, and... | |
 | John Playfair - Geometry - 1836 - 148 pages
...equal to one another ; their bases shall likewise be equal, and the triangles be equal, and their other angles to which the equal sides are opposite shall be equal, each to each. Which was to be proved. PROP. V. THEOR. The angles at the base of an isosceles triangle are equal to... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...triangle ABC to the triangle DEF; and (3.) the other angles, to which the equal sides are opposite, are equal, each to each, viz., the angle ABC to the angle DEF, and the angle ACBtoDFE. For, if the triangle ABC be applied to DEF, so that the point A may be on D, and the straight... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...BC shall be equal to the base EF ; 7v and the triangle ABC to the triangle / \ DEF ; and the other angles, to which / \ the equal sides are opposite, shall be ^- \ equal, each to each j namely, the angle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...equal to one another ; their bases shall be equal, and their areas shall be equal, and their other angles, to which the equal sides are opposite, shall be equal, each to each. V PROP. V. THEOR. f The angles at the base of an Isosceles triangle are equal to one another ; and... | |
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J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. 
