 | Euclides - 1846 - 292 σελίδες
...angles of the one shall coincide with the other angles of the other, and be equal to them, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Wherefore, If two triangles &c. QED PROP. V. THEOR. The angles at the base of an isosceles triangle... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...angles, to which the equal sides are opposite, shall -J ' ' ' ri tsi :ip be equal, each to each, ** VES viz. the 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... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...coincide with the whole triangle DEF, and be equal to it; and the other angles of the one shall coincide with the remaining angles of the other, and be equal...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... | |
 | Elias Loomis - 1849 - 252 σελίδες
...the whole triangle DEF, and will be equal to it; B and the remaining angles of the one, will coincide with the remaining angles of the other, and be equal to them, viz.: the angle ABC to the angle DEP, and the angle ACB to the angle DFE. Therefore, if two triangles, &c. PROPOSITION VII. THEOREM.... | |
 | Euclides - 1852 - 152 σελίδες
...coincide with the whole triangle DEF, and be equal to it; and the other angles of the one shall coincide with the remaining angles of the other, and be equal...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...the whole triangle DEF, and be equal to it (8 Ax.) ; and the other angles of the one shall coincide with the remaining angles of the other, and be equal...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... | |
 | Euclides - 1853 - 176 σελίδες
...coincide with the whole triangle def, and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other, and be equal to them, viz. the angle ab С to the angle def and the angle a С b to df e. Therefore, if two triangles have two sides of... | |
 | Euclides - 1853 - 146 σελίδες
...coincide with the whole triangle DEF and be equal to it; and the other angles of the one shall coincide with the remaining angles of the other, and be equal to them, viz. G. The angle ABC shall be equal to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles... | |
 | Euclides - 1853 - 334 σελίδες
...that are equal to the same thing are equal to one another (Ax. i) : therefore the angle ABC is equal to the angle DEF, and the angle ACB to the angle DFE. Lastly, since the triangles ABC, DEF have been shewn to be equiangular to one another, they are similar... | |
 | Euclides - 1855 - 270 σελίδες
...one coincide with the remaining angles of the other, and are therefore equal to them, each to each; viz., the angle ABC to the angle DEF, and the angle...angle DFE. Therefore, if two triangles have two sides, &c. QED The demonstration of this proposition might have been conducted by beginning the application... | |
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DEF, and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. 
