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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 ... - Σελίδα 20
των Euclid, John Playfair - 1826 - 320 σελίδες
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Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 242 σελίδες
...the whole triangle DEF, and will be equal to it B and the remaining angles of the one, will coincide with the remaining angles of the other, and be equal...ACB to the angle DFE. Therefore, if two triangles, &c. +. PROPOSITION VII. THEOREM. If two triangles have two angles, and the included side of the one,...

Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 σελίδες
...will be equal to ; and the remaining angles of the one, will coincide with the remaining angles ol" the other, and be equal to them, viz. : the angle...ACB to the angle DFE. Therefore, if two triangles, &c. PROPOSITION VII. THEOREM. If two triangles have two angles, and the included side of the one, equal...

Elements of Geometry and Conic Sections

Elias Loomis - 1860 - 246 σελίδες
...the whole triangle DEF, and will be equal to it B and the remaining angles of the one, will coincide with the remaining angles of the other, and be equal...the angle ABC to the angle DEF, and the angle ACB to tfte angle DFE. Therefore, if two triaii 0 ^s, &c. PROPOSITION VII. THEOREM. 11 If two triangles have...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...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...

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 σελίδες
...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 angle DEF, and the angle ACB to the angle DFE. COR.— If the equal...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 σελίδες
...triangle DEF. 3. And the other 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 DFE. Demonstration. — 1. For if the triangle ABC be applied to (or placed upon) the triangle DEF, 2. So...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...triangle DEF, and the other angleB 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 DFS. DEMONSTRATION For, if the triangle ABC be applied to the triangle DEF, so that the point A may...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...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...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...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 sidesof the one equal to two sides, &c. Which was to be demonstrated....




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