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If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
The Elements of Euclid, containing the first six books, with a selection of ... - Seite 23
von Euclides - 1874
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## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 Seiten
...Angle KCF ; and the Right Angle FHC equal to the Right Angle FKC; the two Triangles FHC, FKC fhall have two Angles of the one equal to two Angles of the other, and one Side of the one equal to one Side of the other, -viz.. the Side FC common to each of them....
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## Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 444 Seiten
...under the equal Sides, the one greater than the other \ which was to be demonftrated. PROPOSITION XXVI, THEOREM. If two 'Triangles have two Angles of the one equal to fjoo Angles of the other, each to each, and one Side of the one equal to one Side of the other, either...
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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 :...
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## Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 Seiten
...c F, but the right angle FH c is equal to the right angle FK c : The two triangles FH c, FK c, will have two angles of the one equal to two angles of the other, and one fide of the one equal to one fide of the other, viz. the common fide F c, which is oppofite...
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## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 Seiten
...LF C. Therefore the Angle KFC is equal to the Angle CF L. And fo FKC, FLC, are two Triangles, having 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. the common Side FC ; wherefore they •f- z6. i. fliall...
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## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 Seiten
...And the angle AEG is equal to the angle BEH a ; therefore the triangles AEG, BEH have two angles of one equal to two angles of the other, each to each, and the fides AE, EB, adjacent to the cqua.t angles, equal to one another ; wherefore they fhall have their...
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## The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 324 Seiten
...EDF. If not, it 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 angks, orj'ubtending...
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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 equal...
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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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## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 Seiten
...And the angle AEG is equal to the angle BEHa ; therefore the triangles AEG, BEH have two angles of one equal to two angles of the other, each to each, and the fides AE, EB, adjacent to the equal angles, equal to one another; wherefore they fhall have their...
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