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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 ... - Side 20
av Euclid, John Playfair - 1826 - 320 sider
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...coincide with the whole triangle DEF, arid be equal to it; and the other angles of the one shall coincide with the remaining angles of the other, and be equal...viz. the angle ABC to the angle DEF, and the angle .frjft"lo DFE. ' Therefore, if two triangles have two sides of the one equal to two sides of the other,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...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 of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 sider
...angles equal to the remaining angles, each to each, to which the equal sides are opposite; namely, the angle ABC to the angle DEF ; and the angle ACB to the angle DFE. For if the triangle ABC be applied to the triangle DEF, and the point A be put upon the point D, and...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 sider
...angles equal to the remaining angles, each to each, to which the equal sides are opposite ; namely, the angle ABC to the angle DEF ; and the angle ACB to the angle DFE. For if the triangle ABC be applied to the triangle DEF, and the point A be put upon the point D, and...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 sider
...to it ; and tite 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: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 sider
...the whole triangle DEF, and be equal to it; and the remaining angles of one triangle will coincide with the remaining angles of the other, and be equal to them, namely, the angle B to E, and the angle C to F. Therefore, if two triangles have two sides of one trianglo...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 sider
...the remaining angles of the one would coincide with the remaining angles of the other respectively, and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. And by parity of reasoning, the like may be proved of all other triangles under the same conditions...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 sider
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...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...
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The Element of Geometry

John Playfair - 1836 - 148 sider
...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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