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" ... 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. "
Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856) - Page 58
edited by - 1854
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Geometry - 1853 - 336 pages
...the equal angles ^or the sides opposite to the equal angles in each ; then shall the other sidefbe 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, BCA equal to the angles DEF, EFD, viz. ABC...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...adjacent to the equal angles, or 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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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...one side, viz. either the sides adjacent to the equal angles 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 equal to the third angle of the other. The vertical angle and the sum of the sides of a plane triangle...
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The Quarterly Journal of Pure and Applied Mathematics, Volume 7

Mathematics - 1866 - 426 pages
...have one side equal to one side, and have likewise the two angles adjacent to this side equal, each to each, then shall the other sides be equal, each to each, and also the third angle contained by the two sides of the one shall be equal to the third angle of the other triangle. Have...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...one equal to two angles of the other, each to each, and one si ie equal to one side, via. the sides opposite to equal angles in each, then shall the other...each to each, and also the third angle of the one equal to the third angle of the other. The perpendiculars let fall on two sides of a triangle, from...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 242 pages
...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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...one side, viz., either the sides adjacent to the equal angles in each, or the sides opposite to them, then shall the other sides be equal, each to each,...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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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 1

Euclides - 1868 - 88 pages
...the sides adjacent to the equal angles in each, or the sides oj to them, then shall the other sidet be equal, each to each, and also the third angle of the one to the 46 РRoP. XXVI. angle of the other. CON. P. 3. Pst. 1. • DEM. P. 4. Ax. 1. P. 16. Hyp. 1. „ 2....
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...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...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...side equal to one side, namely, either the sides adjacent to the equal angles, or the sides which are opposite to equal angles in each ; then shall the...each to each ; and also the third angle of the one equal to the third angle of the other. VOLUNTARY PORTION. 1. Equal straight lines in a circle are equallydistant...
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