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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 Six Books of Euclid with a ... - Page 242
by John Playfair - 1856 - 318 pages
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...absolutely or sym metrically equal. Cor. On the same sphere, or on equal spheres, triangles having two angles of the one equal to two angles of the other, each to each, and the included sides equal, have their remaining sides and angles equal. For, if \_A...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...angle BED is equal to the right angle B FD ; (ax. 1 1 . ) therefore the two triangles EBD, FBD have two angles of the one equal to two angles of the other, each to each ; and the side BD, which is opposite to one of the equal angles in each, is common to...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...and a shilling ? MATHEMATICS. Voluntary Paper, No. II. REV. WN GRIFFIN, MA 1. If two triangles have two angles of the one equal to two angles of the other, and one side equal to one side, namely, the sides which are opposite to equal angles in each, then shall...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...to a decimal fraction. 10. Extract the square root of 4-20291001. Euclid. 1. If two triangles have two angles of the one equal to two angles of the other, each to each, and the side adjacent to the equal aii'/les in each triangle also equal, then shall the...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...greater than the angle Wherefore, if two triangles, &c. QED PROP. XXVI.— THEOREM. 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 side adjacent to the equal angles in...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...proportional ; and consequently the two triangles are similar (Art. 210). 260. Cor. Two triangles having two angles of the one equal to two angles of the other, each to each, are similar ; since the third angles will also be equal, and the two triangles be equiangular....
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...proportional ; and consequently the two triangles are similar (Art. 210). 260. Cor. Two triangles having two angles of the one equal to two angles of the other, each to each, are similar ; since the third angles will also be equal, and the two triangles be equiangular....
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...A and B by AF and BF, and the angles a and b by af and bf. Now, since the triangles ABF, abf, have two angles of the one equal to two angles of the other, they are similar (Cor., Theo. Ill) ; hence, ABF : abf : : AB2 : a&2 (Theo. VIII). Multiplying an extreme...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...circle, parallelogram, plane superficies. Write out Euclid's three postulates. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and the sides adjacent to the equal angles also equal, then shall the other sides be...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...(Art. 34, Ax. 9) ; therefore GFE is equal to GCF, or DFE to BC A. Therefore the triangles ABC, DEF have two angles of the one equal to two angles of the other, each to each ; hence they are similar (Prop. XXII. Cor.). homologous. Thus, DE is homologous with AB,...
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