| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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.... | |
| 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... | |
| 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... | |
| 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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