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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. "
Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ... - Seite 66
von Euclid, John Keill - 1733 - 397 Seiten
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 Seiten
...equal to DFM; but the Angle HAC is alfo equal to the Angle MDF. Therefore the two Triangles MDF, HAC, have two Angles of the one equal to two Angles Of the other, each to each, and one Side of the one equal to one Side of the other, viz. that which is fubtended...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 Seiten
...bifcfted by BD, and that the right angle BED is equal to the right angle BFD, the two triangles EBD, FBD have two angles of the one equal to two angles of the other, and the fide BD, which is oppofite to one of -f\ the equal angles in each, is com- -^ men to both : th-erefore...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 Seiten
...triangle DEF, and the remaining angle B AC equal to the remaining angle ED F. If therefore two triangles have two angles of the one equal to two angles of the other, each to each; and one fide of the one equal to one fide of the other, either that which is between...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 326 Seiten
...will be equal or lefs. EDF, it muft be greater. Wherefore, &c. PROP. XXVI. THEO R. TF two triangles have two angles of the one equal to two angles •*• of the other, each to each, and aJiJe of the one equal to ajide of the other, either thejide lying between the equal...
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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 318 Seiten
...neither equal nor lefs than EDF, it muft be greater. Wherefore, &c. PROP. XXVI. THEOR, TF two tr tangles have two angles of the one equal to two angles •*• of the other, each to 'eachy and a fide of the one equal to a fide of the other^ either the fide lying between ths...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 Seiten
...bifefted by BD, and that the right angle BED is equal to the right angle BFD, the _ two triangles EBD, FBD have two £ angles of the one equal to two angles of the other,and the Tide BD, which is oppofite to one of the TJ Cqual angles in each, is common ** to bbth...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 476 Seiten
...being drawn from the Centre, is -equal to EB, the Angle EAF (hall be * equal to the Angle EB F. But* ji the Right Angle AFE is equal to the Right Angle BFE...Angles of the Other, and the Side EF is common to both. Whtnefore the other Sides of the one {lull be f equal to the^- zg, j other Sides of the other : And...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 Seiten
...EDF. Wherefore, if two triangles, &c. Q., ED a 4. i. b 34. i. PROP. XXVI. THEO R. IF two triangles have two angles of the one equal to two angles of the other, each to each ; and one fide equal to one fide, viz. either the fides adjacent to the equal angles,...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 Seiten
...if two triangles, &c. Cv.ED 84. i. b 34. i. PROP. BooK I. 54.i, PROP. XXVI. THEOR. TF two triangles have two angles of the one equal to -*- two angles of the other, each to each ; and one fide equal to one fide, viz. either the fides adjacent to the equal angles,...
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The Elements of Natural Or Experimental Philosophy, Band 3

Tiberius Cavallo - 1803 - 638 Seiten
...die angle FGD is equal to the angle CGD; whence it follows, that the triangles DGC and DGF, Tiaving two angles of the one equal to two angles of the other, and a correfpondent fide, viz. DG, common, are equal in every refpect J ; * It is ufelefs to take notice...
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