 | Horatio Nelson Robinson - 1860 - 470 pàgines
...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... | |
 | Robert Potts - 1860 - 380 pàgines
...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... | |
 | War office - 1861 - 260 pàgines
...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... | |
 | War office - 1861 - 714 pàgines
...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... | |
 | Euclides - 1862 - 172 pàgines
...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... | |
 | Benjamin Greenleaf - 1861 - 638 pàgines
...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.... | |
 | Benjamin Greenleaf - 1862 - 518 pàgines
...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.... | |
 | Evan Wilhelm Evans - 1862 - 116 pàgines
...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... | |
 | University of Oxford - 1863 - 316 pàgines
...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... | |
 | Benjamin Greenleaf - 1863 - 504 pàgines
...(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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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. 
