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" EF (Hyp.), the two sides GB, BC are equal to the two sides DE, EF, each to each. And the angle GBC is equal to the angle DEF (Hyp.); Therefore the base GC is equal to the base DF (I. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Pagina 25
door John Keill - 1782 - 399 pagina’s
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 393 pagina’s
...unequal to EF, therefore it is equal to it. But AB is alfo equal to D E. Wherefore the two Sides AB, BC, are equal to the two Sides DE, EF, each to each ; and they cpntain equal Angles. And fo the Bafe AC is equal to the Bafe DF, the Triangle BAC to the Triangle...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 399 pagina’s
...which let be AB, make GB equal to DE, and join <3 C. t Then, becaufe BG is equal to DE, and BC to EF, the two Sides GB, BC, are equal to the two Sides DE,...equal to the Angle DE F. The Bafe GC is * equal to th«» 4 »/'««• Bafe DF, and the Triangle GBC to the Triangle DEF, and the remaining Angles equal...
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The elements of Euclid: with dissertations intended to assist and ..., Volume 1

James Williamson - 1781
...DE, EF 1 ~" v ~~' each to each; and the angle GBC is equal (by fupp.) to DEF: therefore (by prop. 4.) the bafe GC is equal to the bafe DF; and the triangle GCB will be equal to the triangle DEF; and the remaining angles will be equal to the remaining angles,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 pagina’s
...equal to the two DE,. EF, each to each; and the angle GBC is.equal to the angle DEF ; therefore me bafe GC is equal » to the bafe DF, and the triangle GBC to the triangle DEF, and the other angles to the other angles, each, to each,, to. which the equal fideS are oppofite ; thereforei...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 pagina’s
...equal to the two DE, FT, each to each ; and the angle GBC is equal to the angle DEF; therefore the bale GC is equal" to the bafe DF, and the triangle GBC to the triangle DEF, and the other angles to the other angles, each to each, to which the equal fides are oppofite ; therefore the...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 pagina’s
...will be between L and B. Join QC: and, because the triangles Q В С, DEF have the two sides QB, В С equal to the two sides DE, EF, each to each, and the included angles equal to one another, the third sides QC, DF are equal to one another (13.) ; and,...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...will be between L and B. Join QC: and, because the triangles QBG, DEF have the two sides QB, В С equal to the two sides DE, EF, each to each, and the included angles equal to one another, the third sides QC, DF are equal to one another (13.) ; and,...
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The Element of Geometry

John Playfair - 1836 - 114 pagina’s
...equal to DE, and join CG ; therefore, because BG is equal to DE, and BC to EF, the two sides GB, BC arc equal to the two sides DE, EF, £ each to each ; and the angle GBC is equal to the angle DEF ; therefore the base CG is equal (4.1.) to the base DF, and the triangle...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...EF ; that is, B С is equal to K F. And AB is equal (Hyp.) to D E. Therefore the two sides AB, B С are equal to the two sides DE, EF, each to each. And the angle AB С is equal (Hyp.) to the angle DE F. Therefore the base A С is equal (I. 4) to the base DF, and...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...Demonstration. — 1. Because BG is assumed to be equal to DE (const.), and BC is equal to EF (hyp.), the two sides GB, BC, are equal to the two sides DE, EF, each to each. 2. And the angle GBC is equal to the angle DEF, (hyp.) 3. Therefore the base GC is equal to the base...
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