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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 - Seite 105
von Euclid - 1781 - 520 Seiten
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1733 - 397 Seiten
...therefore the other Angles A KB, AMB are equal to two Right Angles. But DE G. DEF, are equal to two Right Angles; therefore the Angles AKB, AMB, are equal to the Angles EJEG, DEF, whereof A'KB is equal to DEG, Whereipre the other Angle AMB i? equal fq the other Angle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...equal'1 to two right an- A gles ; 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 th,i remamhig angle DEF. in like manner the angle LNM may be demonftrated to be equal to DFE ; and...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 399 Seiten
...therefore the other Angles AKB, AMB,~are equal to two Right Angles. But DEG, DEF, are equil to two Right Angles; therefore the Angles AKB, AMB, are equal to the Angles DEG, DEF, whereof AKB is equal to DEG. Whetcfore the other Angle AMB is equal to the other An^le D EF. In like...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 Seiten
...to two right angles ; therefore the angles AKB, AMB irc equal to the TUT ^3 V angles DEC,1*1 *> « DEF, of which AKB is equal to DEG ; wherefore the...to DFE ; and therefore the remaining angle MLN is equal * to the e 39, i. remaining angle EDF : Wherefore the triangle LMN is equiangular to the triangle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 Seiten
...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...remaining angle AMB is equal to the remaining angle DKF. in like manner the angle LNM may be demonftrated to be equal to DFE ; and therefore the remaining...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 Seiten
...theanglesDEG, Dr.F are liked 13. ». wife equal '1 to two right angles; therefore the angles AKB,A^MB M are equal to the angles DEG, DEF, of which AKB is...remaining angle DEF : In like manner, the angle LNM may be demon (bated to be equal to DFE ; and therefore the « 32- i- remaining angle MLN istqualc to-the remaining...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 Seiten
...two right angles ; therefore ^XVX^ the angles AKB, AMB are equal to the angles DEG, DEF, e i3- ,• of which AKB is equal to DEG ; wherefore the remaining...remaining angle DEF : In like manner, the angle LNM may be demonlirated to be equal to DFE ; and therefore the remaining angle MLN i? e.quai h to the remaining...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 Seiten
...But the angles DEG, DEF are likewife equal d to two right angles; therefore the anglesAKB.AMB MB 1ST are equal to the angles DEG, DEF, of which AKB is...to DFE ; and therefore the remaining angle MLN is equal e to the remaining angle EDF : Wherefore the triangle LMN is equiangular to the triangle DEF...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...AMB are equal to two fight angles. but the angles DEG, DEF are likewife equal d /\ -j^ d. 13. to two right angles ; therefore the angles AKB, AMB are equal...remaining angle AMB is equal to the remaining angle DEF. m like manner the angle LNM may be demonftrated to *be equal to DFE ; and therefore the remaining angle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...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 to the remaining angle DEF : in like...
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