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" DEF, and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 20
by Euclid, John Playfair - 1826 - 320 pages
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...than the Side EF. But the Side EG is equal to the Side B C. Whence BC is likewife greater than EF. Therefore if two Triangles have two Sides of the one, equal to two Sides f the ether, each to each, and the Angle of the one, contained under the equal Right Lines, greater...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...coincide with the whole4riangle DEF, and be equal to it ; and the other angles of the one fhall coincide with the remaining angles of the other, and be equal...the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore if two triangles have two fides of the one equal to two fides of the other, each to...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...coincide with the whole triangle DEF, and be equal to it ; and the other angles of the one fhall coincide with the remaining angles of . the other, and be equal...angle .ABC to the angle DEF, and the angle ACB to DFE. Therefore, it two triangles have two fides of the one equal to two fides of the other, each to...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...coincide with the whole, triangle DEF, and be equal to it ; and the other angles of the cne fhall coincide with the remaining angles of the other, and be equal...the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two fides of the one equal to two fides of the other, each to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...coincide with the whole triangle DEF, and be equal to it; and the other angles of the one fhall coincide with the remaining angles of the other, and be equal to them, viz. the angle ABC to\he angle DEF, and the angle ACB to DFE. Therefore if two triangles have two fides of the one equal...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 476 pages
...co-incide, and confequently the Angle BAG will co-incide with the Angle EDF f, and will be equal to it. Therefore, if two Triangles have two Sides of the one equal to two Sidsi of the oiher, each to each, and the Bafes equal, then the Angles contained under the equal Sides...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...DEF ; and the other angles, to BC which the equal fides are oppofite, fliall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. For, if the triangle ABC be applied to the triangle DEF, fo that the point A may be on D, and...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...with the whole triangle DEF, and be equal to it b ; and the other angles of the one fhall coincide with the remaining angles of the other, and be equal...the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two fides of the one equal to two fides of the other, each to...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...DEF ; and the other angles, to which the equal fides are oppofite, fhall be equal, each T? to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. For if the triangle ABC be applied to DEF fo that the point A may be on D, and the ftraight line...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...and be equal to it : and the remaining of the one shall coincide with the remaining angles of the c and be equal to them, viz. the angle ABC to the angle I and the angle ACB to the angle DFE. Therefore, if tw angles have two sides of the one equal to two...
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