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" To inscribe, an equilateral and equiangular pentagon in a given circle. Let ABCDE be the given circle. It is required to inscribe an equilateral... "
Euclid's Elements of Geometry - Page 305
edited by - 1893 - 504 pages
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...equal to the angles CDA, DAC ; therefore BCD is alfo the double of DAC ; but BCD is equal to either of the angles BDA, DBA ; therefore each of the angles BDA, DBA is double of the angle DAB. Therefore an ifofceles triangle ADB has been made, having each of the angles at the bafe BD double...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...(32. 1.j ; therefore also BCD is double of DAC. But BCD is equal to each of the angles BDA, DBA, and therefore each of the angles BDA, DBA is double of the angle DAB ; wherefore an isosceles triangle ABD is described, having each of the angles at the base double...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...equal f to the angles CDA, DAC; therefore also t32. 1. BCD is double of DAC : and BCD was proved to be equal to each of the angles BDA, DBA ; therefore each of the angles BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD is described, having each of the angles at the base double...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...BCD is equal t to the angles CDA, DAC; therefore also BCD is double of DAC: and BCD was proved to be equal to each of the angles BDA, DBA ; therefore each of the angles BDA, DBA is double of the angle DAB. Wherefore, an isosceles triangle ABD is described, having each of the angles at the base, double...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 332 pages
...(32. 1.) ; therefore also BCD is double of DAC. But BCD is equal to each of the angles BDA, DBA, and therefore each of the angles BDA, DBA, is double of the angle DAB ; wherefore an isosceles triangle ABD is described, having each of the angles at the base double...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...BCD is equal* to the angles CDA, DAC; therefore also BCD is double of DAC : and BCD was proved to be equal to each of the angles BDA, DBA ; therefore each of the angles BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD is described, having each of the angles at the base double...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...equal* to the angles CDA, * 32. 1. DAC; therefore also BCD is double of DAC, and BCD was proved to be equal to each of the angles BDA, DBA; therefore each of the angles BDA, DBA is double of the angle DAB; wherefore an isosceles triangle ABD is described, having each of the angles at the base double...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...(32. 1.) ; therefore also BCD is double of DAC. But BCD is equal to each of the angles BDA, DBA, and therefore each of the angles BDA, DBA, is double of the angle DAB ; wherefore an isosceles triangle ABD is described, having each of the angles at the base double...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...equal to the angles CDA, DAC; (i. 32.) therefore also BCD is double of DAC: and BCD was proved to be equal to each of the angles BDA, DBA ; therefore each of the angles BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD is described, having each of the angles at the base double...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...the angles CAD, CDA; therefore also the angle BCD is double of the angle CAD : And the angle BCD is equal to each of the angles BDA, DBA ; therefore each...angles BDA, DBA is double of the angle BAD : Wherefore an isosceles triangle ABD has been described, having each of the angles at the base double of the third...
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