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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... "
A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ... - Page 53
by Daniel Cresswell - 1816 - 294 pages
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...bisected by BD), and that the right angle DEB is equal to the right angle DFB, the two triangles DEB, DFB have two angles of the one equal to two angles of the other, each to each, and the side DB, which is opposite to one of the equal angles in each, common to both — therefore their...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...GNK, and the angles GMK, GMN are both right angles by construction ; wherefore, the triangles GMK, GMN have two angles of the one equal to two angles of the other, and they have also the side GM common, therefore they are equal(26. 1.),and the side KM is equal to...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 pages
...angle F, nor less than it, it will be greater. PROPOSITION XXVI. THEOREM. If two triangles (BAC, DEF) have two angles of the one equal to two angles of the other (B to D and C to F) ; and a side of one equal to a side of the other, that is, either the sides which...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...— QED This Proposition is the converse of the preceding. PROP. XXVI. THEOR. GEN. EMUN. — If two triangles have two angles of the one equal to two...other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each,...
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An elementary course of mathematics, Volume 2

Samuel Hunter Christie - 1847 - 172 pages
...the angle EBC : and the angle AEG is equal to the angle BEH (I. 15): 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...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal (Prop. xxiv, Cor. 1), namely, the angle B equal to the angle D,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...angle EDF. Wherefore if two triangles, &c. QED PROP. XXVI. THEOB. If two triangles have two angles of 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 angles, or the sides opposite to equal angles in each ;...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having two angles of the one equal to two angles of the other, have also their third angles equal, (Prop, xxiv, Cor. 1,) namely, the angle B equal to the angle D,...
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Papers for the schoolmaster, Volume 3

1867 - 336 pages
...can be drawn to the four angles from any point, except the intersection of the diagonals. 3. If two triangles have two angles of the one equal to two angles of the otner, each to each, and one side equal to one side, viz., the sides opposite to equal angles in each,...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...as to exemplify the two last propositions.] PROP. XXVI. THEOR. If two triangles have two angles of 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 angles, or the sides opposite to equal angles in each;...
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