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" ... be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, ECA equal to the angles DEF, EFD, viz. "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Side 24
av Robert Simson - 1804
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 sider
...other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles having the angle B equal to E, the angle C equal to F, and the included sides BC, EF equal to each...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...in each, or the sides opposite to them, then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. CONSTRUCTION. — P. 3. From the greater of two lines to cut off a part equal to the less. Pst. 1....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...equal angles, common to the two triangles; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BA C to the angle BD C. And...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...angles in each, is common to both triangles. 4. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other; namely, AB equal to CD, AC to BD, and the angle BAG to the angle CDB. (1.26.) 5. And because the angle...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...the sides opposite to equal anales in eacb; then their other sides are ,.qual, each to each, and also the third angle of the one to the third angle of the other. For, if AB be not equal to DE one of them must be greater than the other. Let AB be the greater of...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...in each, or the sides opposite to them, then shall the othei sides be equal, each to each, and also the third angle of the one to the third angle of the other. CON.— P. 3, P»t. 1.— DEM.— P. 4, Ax I, P. 16. E. 1 Hyp. 1. In As ABC, DBF, let £_ ABC = /....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...equal angles, common to ~" the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side ABto the side CD, and AC to BD, and the angle BA C to the angle BD C. And...
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Guide to the Civil service

Henry White - 1864
...side adjacent to the equal angles in each; then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...third sides be equal in each triangle, as also the remaining angles of the one to the remaining angles of the other. Let ABC, DEF be two triangles which have the sides AB, AC equal to the two sides DE, DF, each to each, and the angle ABC equal to the angle DEF:...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...sides opposite to equal angles in each ; then the other sides shall be equal, each to each, and also the third angle of the one to the third angle of the other. Prop. 27. If a straight line falling upon two other straight lines, make the alternate angles equal...
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