 | Euclides - 1846 - 292 pages
...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 - Euclid's Elements - 1846 - 332 pages
...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 - Euclid's Elements - 1847 - 340 pages
...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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...AKB, AMB are equal to two right angles : But the angles DEG, DEF are likewise equal (13. i.) to two right angles ; therefore the angles AKB, AMB are equal...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. I.) to the remaining... | |
 | Euclides - Geometry - 1853 - 176 pages
...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 - Geometry - 1853 - 334 pages
...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 - 146 pages
...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 - Euclid's Elements - 1855 - 340 pages
...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 - Euclid's Elements - 1856 - 318 pages
...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 - 288 pages
...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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DEF are likewise equal (13. i.) to two right angles ; therefore the angles AKB, AMB are equal to the angles DEG, DEF, of which AKB is equal to DEG ; wherefore the remaining angle AMB is equal to the remaining angle DEF. 
