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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 - 1849 - 226 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 (Prop. VII.), viz. Cor. Two parallels, AB, CD, comprehended between two other parallels, AC, BD, are...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...equal to them of the other; the base of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides, AB, AC equal to the two DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other (i. 26), viz. the side ab to the side Сd, and a С to bd, and the angle baС equal to the angle bd...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other (I. 26.), viz. 3. The side AB is equal to the side CD, and AC to BD, and the angle BAC is equal to...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...equal to them of the other; the base of that which has the greater angle shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz., AB equal to DE, and AC to DF ; but the...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...DE) opposite to 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. First let В С = EF, the sides adjacent to the angles that are equal each to each. Then if AB, DE...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...angles in each ; then shall the other xtde be equal, each to each; and also the third angle of tht one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD, also one side equal to ono side...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...the sides opposite to equal angles in each ¡then their other sides are equal, each to each, and also the third angle of the one to the third angle of the other. Let ABС, D EF be two triangles which havs the two angles ABС, BСA of the one, equal to the two angles...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...sides opposite to 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. 6. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...
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Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 226 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 othei (Prop. VII.), vh. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle...
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