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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...angles DEG, DEF. But the v^-v~w angle AKB is equal to the angle DEG ; wherefore the re- d 13. l. maining angle AMB is equal to the remaining angle DEF. In like manner the angle LNM may be demonstrated to be equal to DFE. Therefore the remaining angle MLN is equale to the remaining angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...other two AKB, AMB are equal to two right angles: but the angles DEG, DEF are likewise equal d to two right angles; therefore the angles AKB, AMB are equal to the angles DEG,DEF of which AKB is MBN equal to DEG; wherefore the remaining angle AMB is equal Jo the remaining...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...d .r A, / \ '13.1. to two right angles ; therefore the angles AKB, AMB are equal to the angles DEC, DEF, of which AKB is equal to DEG; wherefore the remaining...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...to two right angles ; therefore the angles A KB, AMB are equal to the angles DEG, DEF, of. which ARE is equal to DEG ; wherefore the remaining angle AMB...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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...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...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...AKB, AMBareequal to the angles DEG, DEF of which AKB 1 is equal to DEG; whereforetheremain- MB N ing angle AMB is equal to 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 (32. 1.) to the remaining...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...ELSMKNT3 OF EUCLID. angles AKB, AMB are equal to the angles DEC, DEF of which AKB is equal to DÉG; wherefore the remaining angle AMB is equal to the...remaining angle DEF : In like manner, the angle LNM may be demonstrated to be equal to DFE ; and therefore the remaining engle MLN is equal (S3. I.) to the remaining...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...1.) to two right angles; therefore the angles AKB, A MB are equal to the angles DEG, DEF, of whieh AKB is equal to DEG; wherefore the remaining angle...remaining angle DEF. In like manner, the angle LNM may be demonstrated to be equal to DFE ; and therefore the remain-* ini* angle MLN is equal (32. 1.) to the...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...are also together e Cor. Def. equal to two right anglesC ; therefore, the angles AKB, AMB, '• 1- are equal to the angles DEG, DEF, of which AKB is equal to DEG ; wherefore, the remaining angle AMB, or LMN is equal to the remaining angle DEF. In like manner, it may be shown, that the angle LNM is...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...two right angles ;f therefore AKB, AMB, are equal to DEC, 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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