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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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 45
av Euclid - 1892 - 518 sider
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 sider
...; but the Angle AEG is * equal to the Angle BEH; therefore AGE, BEH, are two Triangles, having two Angles of the one equal to two Angles of the other, each to each, and one Side AE equal to one Side EB, viz- thole that are at the equal Angles ; and fo the other Sides...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 444 sider
...; but the Angle HAG is alfo equa to the Angle MDF. Therefore the two Triangles MDF, HA C, 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 by one of the equal...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 sider
...demonftrations. Clavius has alfo tranflated them into Latin. 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 of the one equal to one fide of the other, either that fide which is hetween the equal angles,...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 sider
...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 - 534 sider
...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 - 318 sider
...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 - 552 sider
...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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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 476 sider
...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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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 sider
...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, or the fides oppofite...
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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 120 sider
...nwji be equal to the remaining angle of the other. THEOREM 15. If two triangles have two angles of one equal to two angles of the other, each to each, and one s1de of one equal to one D side side of the other, the triangles are equal in every refpcEl. —...
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