| Royal college of surgeons of England - 1860 - 332 pages
...less than the other two sides of the triangle, but shall contain a greater angle. 5. 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, namely, the sides adjacent to equal angles in each triangle... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...than the angle EDF. Wherefore, if two triangles, &c. QED PROPOSITION 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 sides adjacent to the equal angles in... | |
| Eucleides - 1860 - 396 pages
...angle EBC (b) : and the angle AEG is equal to the angle BEH (a) ; 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... | |
| War office - 1861 - 714 pages
...(f )2 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... | |
| War office - 1861 - 260 pages
...sovereign 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... | |
| Euclides - 1862 - 140 pages
...EDF. Conclusion. — Therefore, if two triangles, &c. QED PROPOSITION 26.— 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; namely, either the side adjacent to the equal angles... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 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.). 266. Scholium. When the two triangles have... | |
| Benjamin Greenleaf - Geometry - 1861 - 638 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,... | |
| 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... | |
| Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...angles 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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