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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 - Geometry - 1837 - 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.)...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 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...DEF of which AKB is equal to DEG; , wherefore the remain- ; \ 1 / \ * ' ' ing angle AMB is equal to the remaining angle DEF; in MBN like manner, the...
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The Elements of Euclid

Euclid - Geometry - 1838 - 478 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...DEF of which AKB is equal to DEG; „ wherefore the remain- ' \ fx IS ing angle AMB is equal to the remaining angle DEF; in MB N like manner, the angle...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...DEG, DEF; of iu.mst. which AKB is equalt to DEG; wherefore the 13 AX. remaining angle AMB is equalt to the remaining angle DEF. In like manner, the angle LNM may be demonstrated to be equal to DFE ; and *s2. i. therefore the remaining angle MLN is equal* to 3AX. tne...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...AMB are also equal to two right angles: but * I3. 1. the angles DEG, DEF are likewise equal* 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 * 32. 1. 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 - Euclid's Elements - 1842 - 332 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...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: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 pages
...but the angles DEG, DEF are likewise equal (13. 1.) to two right angles; therefore the angles A KB, AMB are equal to the angles DEG, DEF, of which AKB...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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...AMB are equal to two right angles : But the angles DEG, DEF are likewise equal || to two 11 13. i. 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 to the remaining...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...two AKB, AMB are equal to two right angles. But (I. 13) 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...two right angles : (ax. S.) but the angles DEG, DEF are likewise equal to two right angles; (i. 13.) therefore the angles AKB, AMB are equal to the angles DEG, DEF; (ax. 1.) of which AKB is equal to DEG ; (constr.) wherefore the remaining angle AMB is equal to the...
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