| Euclides - 1846
...AMI! are together equal to two right angles : But the angles DEG, DEF are also together equal to two **right angles ; therefore the angles AKB, AMB are equal...the angles DEG, DEF, of which AKB is equal to DEG,** and therefore the remaining angle AMB, or LMN, is equal to the remaining angle DEF : And in like manner,... | |
| John Playfair - 1846 - 317 pagina’s
...equal to four right angles, for it can be divided into two triangles ; and because two of 95 E ing **angle AMB is equal to the remaining angle DEF. In like manner, the angle** LMN may be demonstrated to be equal to DFE ; and therefore the remaining angle MLN is equal (32. 1.)... | |
| John Playfair - 1847 - 317 pagina’s
...two AKB, AMB are equal to two right angles : But the angles DEG, DEF are likewise equal(13.1.) to two **right angles ; therefore the angles AKB, AMB are equal...DEF, of which AKB is equal to DEG ; wherefore the** remainE ing angle AMB is equal to the remaining angle DEF. In like manner, the angle LNM may be demonstrated... | |
| Euclides - 1853 - 147 pagina’s
...two akb, amb are equal to two right angles: but the angles deg, def are likewise equal (i. 13) to two **right angles ; therefore the angles akb, amb are equal to the angles deg, def, of which akb is equal** todeg; wherefore the remaining angle amb is equal to the remaining angle def. In like manner, the angle... | |
| Euclides - 1853
...DEF. And by const" the angle AKB is equal to the angle DEG : hence, taking away equals from equals, **the remaining angle AMB is equal to the remaining angle DEF. In like manner, the angle** CNB may be shewn to be equal to the angle DFE ; and the third angle MLN is equal (i. 32, Cor. A) to... | |
| Euclides - 1853
...angles: but the angles DEG, DEF, are likewise equal (1. 13.) to two right angles > therefore (Ax. 1.) 3. **The angles AKB, AMB, are equal to the angles DEG, DEF, of which AKB is equal** (Constr.) to DEG; wherefore (Ax. 3.) 4. The remaining angle AMB is equal to the remaining angle DEF.... | |
| John Playfair - 1855 - 318 pagina’s
...likewise equal (13.1.) to two right angles ; therefore the angles AKB, AMB are equal to the an gles **DEG, DEF, of which AKB is equal to DEG ; wherefore...remaining angle DEF. In like manner, the angle LNM may be** demonstrated to be equal to DFE ; and therefore the remaining angle MLN is equal (32. 1.) to the remaining... | |
| John Playfair - 1856 - 318 pagina’s
...are equal to the an gles DEG, DEF. of which AKB is equal to DEG ; wherefore the remsuuing angle AMD **is equal to the remaining angle DEF. In like manner, the angle LNM may be** demonstrated to he equal to DFE ; and therefore the remaining angle MLN is equal (32. 1.) to the remaining... | |
| Euclides - 1860
...equal to two right angles (I. 13) ; therefore the angles AKB and AMB are equal to the angles DEG and **DEF, of which AKB is equal to DEG ; wherefore the...remaining angle DEF. In like manner, the angle LNM may be** demonstrated to be equal to DFE ; and therefore the remaining angle MLN is equal to the remaining angle... | |
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