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" BGC: for the same reason, whatever multiple the circumference EN is of the circumference EF, the same multiple is the angle EHN of the angle EHF: and if the circumference BL be equal to the circumference EN, the angle BGL is also equal to the angle EHN... "
The Elements of Euclid: In which the Propositions are Demonstrated in a New ... - Page 91
by Euclid - 1776 - 264 pages
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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 318 pages
...are equal, the angles BGC, CGK, KGL, arelikewife equal2; therefore, BL is the fame multiples ay. 3, of BC, that the angle BGL is of the angle BGC ; for...as BC is to EF, fo is BGC to EHF b; andfo is BAC to EDF c. Again, as the k<lef. *• s* circumference BC is to EF, fo is the feftor BGC to the feftor0...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 444 pages
...circumference EN is of the circumference EF, the fame multiple is the angle EHN of the angle EHF : And if the circumference BL be equal to the circumference EN, the angle BGL is alfo equal a to the angle EHN; and if the circumference BL be greater than EN, likewife the angle BGL...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...*• ?• 3. Book V1. the circumference EF, the fame multiple is the angle EHN of the angle EHF. and if the circumference BL be equal to the circumference EN, the angle BGL is alfo equal to the angle EHN; and if the circumference BL be greater than EN, likewife the angle...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...circumference EN is of the circumference EF, the same multiple is the angle EHN of the angle EHF: And if the circumference BL be equal to the circumference EN, the angle BGL is also equal (27. 3.) to the angle EHN : and if the circumference BL be greater than EN, likewise the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...circumference EN is of the circumference EF, the same multiple is the angle EHN of the angle EHF : and if the circumference BL be equal to the circumference EN, the angle BGL is also equal* * 27. sto the angle EHN ; and if the circumference BL be greater than EN, likewise the...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...circumference EN is of the circumference EF, the same multiple is the angle EHN of the angle EHF: and if the circumference BL be equal to the circumference EN, the angle BGL is also equal to the angle EHN ; (in. 27.) and if the circumference BL be greater than EN, likewise the...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...circumference EN is of the circumference EF, the same multiple is the angle EHN of the angle EHF : And if the circumference BL be equal to the circumference EN, the angle BGL is t 27. s. also equalf to the angle EHN ; and if the circumference BL be greater than EN, likewise the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...the circumference EN is of the circumference EF, the same is the angle EHN of the angle EHF : Now, if the circumference BL be equal to the circumference EN, the angle BGL is also equal to the angle EHN, and if greater, greater, and if less, less : But the circumference BL...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...circumference en is of the circumference ef, the same multiple is the angle ehn of the angle ehf: and if the circumference bl be equal to the circumference en, the angle bgl is also equal (iii. 27) to the angle ehn; and if the circumference bl be greater than en, likewise the...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...circumference EN is of the circumference EF, the same multiple is the angle EHN of the angle EHF : And if the circumference BL be equal to the circumference EN, the angle BGL is also equal (27. in.) to the D^ angle EHN ; and if the circumference BLA A/ Nt /K N. be greater than...
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