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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. "
The First Six Books: Together with the Eleventh and Twelfth - Página 105
por Euclid - 1781 - 520 páginas
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 páginas
...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.)...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 340 páginas
...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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 páginas
...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...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 páginas
...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...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Libro 1

Euclides - 1853 - 334 páginas
...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...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 páginas
...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....
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 340 páginas
...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...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 346 páginas
...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...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 páginas
...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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