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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. either the sides adjacent to the equal... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Strona 121
autor: John Playfair - 1806 - Liczba stron: 311
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...HCF is equal to KCF, and the right angle FHC equal to the right angle FKC ; in the triangles FHC, FKC there are two angles of one equal to two angles of' the other ; and the fide FC, which is oppofite to one of the equal angles in each, is common to both ; therefore...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - Liczba stron: 518
...: and -the angle AEG is equal to the angle BEH « ; therefore the triangles AEG, BEH have two angks of 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; wherec 36. 1. fore they shall have...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...of CFL; therefore the angle KFC is equal to the angle CFL; and rr the right angle FCK is equal 11V to the right angle FCL : Therefore, in the two triangles...is adjacent to the equal angles in each, is common other sides, and the third angle to the third angle : Thereto both ; therefore the other sides shall...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - Liczba stron: 528
...HCF is equal to KCF, and the right angle FHC equal to the right angle FKC ; in the triangles FHC, FKC there are two angles of one equal to two angles of the other, and the side FC, which is opposite to one of the equal angles in each, is d 26. 1. common to both ;...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - Liczba stron: 294
...E, and the angle C to F. PROP. X. (98.) Theorem. If two spherical triangles, have two angles of the one equal to two angles of the other, each to each, and have a side of the one equal to a side of the other, namely, the sides adjacent to the equal angles,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - Liczba stron: 317
...angle KFC i= equal to the angle CFL ; now the right angle FCK is equal to the right angle FCL ; and therefore in the two triangles FKC, FLC, there are...to each, and the side FC, which is adjacent to the equiil angles in each, is common to both ; therefore the other sides are equal (26. 1.) to the other...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Tom 5

John Mason Good - 1813
...the angle contained by the equal to them of the other. 1 Prop. XXVI. Theor. If two triangles hive twn angles of one equal to two angles of the other, each to each ; and one side equal to one side. vi¿. either the sides adjacent to the equal angles, 01 the sides opposite...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - Liczba stron: 333
...is equal to KCF, and the D right angle FHC equal to the right angle FKC ; in the triangles FHC, FKC there are two angles of one equal to two angles of the other, and the side FC, which is opposite to one of the equal angles in each, is common to both; therefore,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - Liczba stron: 516
...and CFD double of CFL; therefore the angle KFC is equal to the angle CFL; and the right angle FCK H is equal to the right angle FCL: therefore, in the...other, each to each, and the side FC, which is adjacent ^o the equal angles in each, is common to both; KCL therefore the other sides shall be equal (26. 1.)...
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The new practical builder, and workman's companion, Tom 2

Peter Nicholson - 1823
...alternate angles, GFE, FGH, are also equal; therefore the two triangles GEF, FHG, 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 FH is...
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