 | Perry Fairfax Nursey - 1850 - 548 páginas
...Xltmentt " by way of illustration ; and hence his very first may be chosen ; namely, i. 4 :— > "1. For if the triangle ABC be applied to the triangle DEF...the point A may be on D, and the straight line AB on D, therefore the point В ¡hall coincide with the point £." That is, as far as the logic is concerned,... | |
 | 1850 - 554 páginas
...may be chosen; namely, i. 4:— "1. For if the triangle ABC be applied to the triangle DEF so lhat the point A may be on D, and the straight line AB on D, therefore the point B thall coincide with the point E." That Is, at far as the logic Is concerned,... | |
 | Euclides - 1852 - 152 páginas
...viz. 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 AB upon DE; the point B shall coincide with the point E, because AB is equal to DE ; and AB coinciding... | |
 | Euclides - 1853 - 334 páginas
...the equal sides AC, DF are opposite ; (2) the triangle ABC shall be equal to the triangle DEF. Let the triangle ABC be applied to the triangle DEF, so that the point A may coincide with the point D, and the straight line AB may fall on DE ; the triangle ABC falling on the... | |
 | Euclides - 1853 - 176 páginas
...the angle ab С to the angle def, and the angle aСb to dfe. For, if the triaagle ab С be applied to def, so that the point a may be on d, and the straight line ab upon de , the point b shall coincide with the point e, because ab is equal to de; and ab coinciding... | |
 | Royal Military Academy, Woolwich - 1853 - 400 páginas
...viz., 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 AB upon DE, the point B shall coincide with the point E, because AB is equal (Hyp.) to DE ; and AB coinciding... | |
 | Euclides - 1853 - 146 páginas
...the angle ABC to the angle DEF, and the angle ACB to DFE. BC For if the triangle ABC be applied to DEF, so that the point A may be on D, and the straight line AB upon DE; 1. The point B shall coincide with the point E, because AB is equal to DE. And AB coinciding... | |
 | Euclid - 1853 - 176 páginas
...equal (BC to EF), then the angles (A and D) formed by the equal sides are equal. DEMONSTRATION. For if the triangle ABC be applied to the triangle DEF, so that their equal bases may coincide, and that the two triangles may lie on the same side, their equal sides... | |
 | William Somerville Orr - 1854 - 534 páginas
...surfaces of the triangles shall also be equal. For, conceive the triangle А В С to be laid upon, or applied to, the triangle DEF so that the point A may be on D, and the line AB on DE ; then the point В shall fall on E, be* Hyp. cause AB = D E.* And AB thus coinciding... | |
 | Euclides - 1855 - 270 páginas
...angle AB С is equal to the angle DEF, and the angle A С B to the angle DFE. For, if the triangle ABС be applied to the triangle DEF, so that the point A may be on the point D, and the straight line AB upon the straight line DE. The point B shall coincide (that is,... | |
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DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide... 
