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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: Chiefly from the Text of Dr. Simson, with ... - Seite 317
von Robert Potts - 1868 - 410 Seiten
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1723 - 442 Seiten
...Right An!n " " glc AFE is equal to the Right Angle BFE; therefore the two Triangles E AF, EBF, have two .Angles' of the one equal to two Angles of the other, and the Side EF is common to both. Wherefore the other Sides tf. of the one fhall be | equal to the...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 397 Seiten
...But the Right Angle AFE is equal to the Right Angle BFE ; therefore the two Triangles EAF, EBF, have two Angles of the one equal to two Angles of the other, and the Side EF is common to both. Wherefore the other Sides 1 46. i. of the one fhall be f equal to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...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 :...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 464 Seiten
...But the right angle AFE is equal to the right angle BFE: therefore the two triangles EAF, EBF have two angles of the one equal to two angles of the other, and the fide EF of the one equal to the fide EF of the other, viz. the common fide oppofite to one...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 Seiten
...ether j which to be demonstrated. PROPROPOSITION1 XXVI. THEOREM. If tvaoTriangles, bave two Ragles of the, one equal . , to two Angles of the other, each to each, and one Side' of the one equal to one Side »f the ctber, either the Side lying between the equal Angles,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 Seiten
...EDF. Wherefore, if two triangles, &c. QJLD. PROP. XXVI. THEO R. TF two triangles have two angles of 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, or the fides oppofite...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 324 Seiten
...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 angks, orj'ubtending...
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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 318 Seiten
...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 equal...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 Seiten
...EDF. Wherefore, if two triangles, &c. Q..ED PROP. XXVI. THEO R. IF two triangles have two angles of one equal to two angles of the other, each to each ; and one fide e. qual to one fide, viz. either the fides adjacent to the equal angles, or the fides oppofite...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 399 Seiten
...Therefore the Angle KFG is equal to the Angle CF L. And fo FKC, FLC, are two Triangles, having two An' gles of the one equal to two Angles of the other, each to each, and one Side of the one equal to one 6iJe of the other, viz. the common Side FC ; wherefore they f z«....
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