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" If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 17
by Euclides - 1871
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 pages
...iĞ greater than the angle edf. Wherefore, if two triangles, &e. QED PROPOSITION XXVI. — THEOREM. If two triangles have two angles of the one equal to two angtee of the other, each to each, and one side equal to one side, viz. either the sides adjacent to...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 192 pages
...CoR. Hence, also, the difference between any two sides is less than the third side. 39. PROP. XVII. If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the side which is common to those angles in the one equal to the side which is common to the...
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The popular educator, Volume 4; Volume 7

Popular educator - 1852
...Therefore, if two triangles, &c. QED Scholium. The enunciation of this proposition may be thuğ simplified : If two triangles have two angles of the one, equal to two angles of the other, each to each, and u side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 432 pages
...consequently, the two equiangular triangles BAC, CED, are similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar ; for, the third angles are then equal, and the two triangles are equian gular (BI, p....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...EDF. Therefore, if two triangles, &c. QED The enunciation of this proposition may be thus simplif'ed: If two triangles have two angles of the one, equal to two angles of the other, each to each, and a side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...the angle EBC (4): and the angle AEG is equal to the angle BEH (a); therefore the triangles AEG, BEH have two angles of the one, equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another; wherefore they have their other sides equal...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...drawn to intersect one another, the greater segments will be equal to the sides of the pentagon. 3. If two triangles have two angles of the one equal to two angles of the other, and one side equal to one side, viz. either the sides adjacent to the equal angles in each, or the...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 318 pages
...it is not equal to it: therefore the angle BAC is greater than the angle EDF. PROP. XXVI. THLOR. Jf two triangles have two angles of the one equal to two angles of the otIirr, each to each; and one side equal to one side, viz. either the sides adjacent to the equal anglrs,...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...on the same side of it, are either two right angles, or are together equal to two right angles. 3. If two triangles have two angles of the 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...
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Practical carpentry, joinery, and cabinet-making [by P. Nicholson. by P ...

Peter Nicholson - Cabinetwork - 1856 - 216 pages
...parallel to CD, the alternate angles, GFE, FGH, are also equal ; therefore the two triangles GEF, HFG, have two angles of the one equal to two angles of the other, each to each ; and the side FG, adjacent to the equal angles, common ; the triangles are therefore equal (theorem 6) ; and...
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