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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 - Page 105
by Euclid - 1781 - 520 pages
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...two right angles ; f therefore AKB, AMB, are equal to DEG, DEF, of which AKB is equal to DEG ; whence the remaining angle AMB is equal to the remaining angle DEF. In like manner, it may be shown that LNM is equal to DEF ; and therefore the remaining angle MLN is also equal to the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...DEF ; of which AKB is t Constr. equal f to DEG ; wherefore the t 3 Ax. remaining angle AMB is equal f to the remaining angle DEF. In like manner, the angle LNM may be demonstrated to be equal toDFE; • 32. 1. Sc an2 therefore the remaining angle MLN is equal * to the...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...the angles DEC, DEF are likewise equal (13. 1.) to two right angles; A therefore the angles AKB, AMD are equal to the angles DEG, DEF of which AKB is equal to DEG ; M wherefore the remaining angle AMU is equal to the remaining angle DEF : in like manner, the angle...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 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 to the angles DEG, DEF,of which AKB is equal to DEG; wherefore the remaining angle AMB is equal to the remaining angle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...right angles : But the art.gles DEG, DEF are likewise equal (13. 1.) to two right angles; there^ fore the angles AKB, AMB are equal to the angles DEG, DEF,...the remaining angle DEF. In like manner, the angle LMN may be demonstrated to foe 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 - Euclid's Elements - 1835 - 336 pages
...AKB, AMB are equal to two right angles : But the angles DEG, DEF are likewise equal (6. 1.) to two right angles ; therefore the angles AKB, AMB are equal...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 (2. Cor....
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...angles DEG,DEF are likewise equald to two right angles; therefore the angles A KB, AMBareequalto ~VT the angles DEG, DEF, of which AKB is equal to DEG;...remaining angle DEF: In like manner, the angle LNM may be demonstrated to be equal to DFE; and therefore the remaining angle MLN is equal6 to the remaining angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...DEG,DEF are likewise equald to two right angles; therefore the angles A KB, A MB are equal to "XT "R the angles DEG, ""* DEF, of which AKB is equal to...remaining angle DEF: In like manner, the angle LNM may be demonstrated to be equal to DFE; and therefore the remaining angle MLN is equal1"' to the remaining...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...equal to two right angles. But the angles DEG, DEF, are likewise equal to two right angles (I. 13) ; therefore the angles AKB, AMB, are equal to the angles...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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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...AKB, AMB are equal to two right angles. But (I. 18.) the angles DEG, DEF are likewise equal to two right angles; therefore the angles AKB, AMB are equal to the angles DEG, DEF of which (const.) AKB is equal to DEG : wherefore the remaining angles AMB, DEF are equal. In like manner, the...
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