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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 College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 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 to them, vir.: the angle ABC to the angle DSF, and the angle ACB to the angle DFE. Therefore, if two triangles...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...other angles of the one coincide with the other angles of the other, and are equal to them, namely, the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION 5. THEOREM. TJie angles at the base of an isosceles...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...also the remaining angles of one triangle coincide with the remaining angles of the other, and are equal to them, viz. the angle ABC to the angle DEF, and the angle A CB to DFE. Therefore, if two triangles have two sides of the one equal to two sides, &c. Which was...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 sider
...DEF, and will be equal to it and the remaining angles of the one, will coincide with the -emaining angles of the other, and be equal to them, viz. :...angle ABC to the angle DEF, and the angle ACB to the ang'e DFE. Therefore, if two triangles, &c. PEOPOSIT1ON VII. THEOREM. If two triangles have two angles,...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1872 - 326 sider
...angle opposite to the other side GD is obtuse in the one of these triangles and acute in the other, therefore If two triangles have two sides of the one equal to the two sides of the other, each to each, and the angle opposite to one of these sides of the one equal...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 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 to them, viz., ABC to DEF, and ACB to DFE. V. — The angles at the 'base of an isosceles triangle are equal to one...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 sider
...B and the other angles shall be equal 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. QQ For if the triangle ABC be applied to the * i- *3 • triangle DEP, so that the point A may be on...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...and (3) the other angles to which the equal sides are opposite shall be equal, each to each — via., the angle ABC to the angle DEF, and the angle ACB to DFE. * An abbreviation for quod erat faciendum — that is, " which was to be done." Demonstration....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...also the remaining angles of one triangle 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 (ides, &c. Which was to be...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 sider
...be done," And the otter angles to which the equal sides are opposite, shall be equal, each to each, viz., the angle ABC to the angle DEF, and the angle ACB to the angle DEE. PROOF. — For if the triangle ABC be applied to (or placed Suppose upon) the triangle DEF, "...
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