| Education - 1902 - 942 pages
...pentagon is equal to the sum of a side and a diagonal of the smaller pentagon. 5. Equal triangles, which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. 12, ABCD is a trapezium in which... | |
| Education - 1903 - 692 pages
...converse. If two triangles are equiangular their corresponding sides are proportional ; and the converse. **If two triangles have one angle of the one equal to one angle of the other and** the sides about these equal angles proportional, the triangles are similar. The internal bisector of... | |
| Olaus Henrici, George Charles Turner - Graphic statics - 1903 - 236 pages
...negative. Geometrically the theorem is that of Euc. VI. vi., from which the general case follows at once. " **If two triangles have one angle of the one equal to one angle of the other and** the sides about the equal angles proportionals, the triangles shall be similar." For if one triangle... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...§AB, OQ = J5 AC ; join PQ ; measure L.' P, Q, and compare them with L.' B, C. =o fig. 313. THEOREM 5. **If two triangles have one angle of the one equal to one angle of the other and** the sides about these equal angles proportional, the triangles are similar. fig. 314. Data ABC, DEF... | |
| 1903 - 898 pages
...that the square on DE is equal to twice the rectangle contained by the radii of the two circles. 4. **If two triangles have one angle of the one equal to one** an^le of the other, and the sides about the equal angles proportionals, show that the triangles are... | |
| University of Sydney - 1904 - 680 pages
...iu-radius and the circum-radius respectively measure 1 ft. and " ft. 1 in. 7. Equal triangles, which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. 8. Find the weight of a conical... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...first. [Book vi. Def. 4.] PROPOSITION 14. THEOREM. Parallelograms which are equal in area, and which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. Conversely, parallelograms which... | |
| 1905 - 214 pages
...the tangent. ((/) About a given circle circumscribe a triangle equiangular to a given triangle. (e) **If two triangles have one angle of the one equal to one angle of the other, and** the sides about the equal angles proportionals, the triangles are similar. '2. ABCD, AEFG are two squares... | |
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