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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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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...with the whole triangle DEF, and be equal to it ; and the remaining1 angles of the one shall coincide with the remaining angles of the other, and be equal to them ; namely, the angle ABC to the angle DEF, and the angle ACB to the angle DFE. PHOPOSITION V. THEOREM....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...coincide with the whole triangle 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...the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, each to...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...equal to it; and the other angles of the one coincide with the remaining angles of the other, and arc equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, each to...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...equal to it; and the other angles of the one coincide with the remaining angles of the other, and are equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, each to...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...equal to it; and the other angles of the one coincide with the remaining angles of the other, and are equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides of the other, each to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...other angles, to which the equal sides are opposite, shall _, — — be equal, each to each, ** " -E 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, so that the point A may be on D, and...
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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pages
...with the whole triangle DEF, and be equal to it ; "and the remaining angles of the one shall coincide with the remaining angles of the other, and be equal to them ; namely, the angle ABC to the anglo DEF, and the angle ACB to the angle DFE. The postulates do not...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...whole triangle DEF, and be equal to it § ; and the S s Ax. other angles of the one shall 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 sides of the one equal to two sides of the other, each to...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...equal to it ; and the other angles of the one coincide with the remaining angles of the other, and are equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides, &c. Which was to be...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...triangle DEF ; and (3) the other angles, to which the equal sides ' are opposite, are 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 DEF, so that the point A may be on D, and the straight...
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