 | Euclides - 1853 - 176 sider
...equiangular to the triangle def Wherefore, if two triangles, &c. QED PROPOSITION VII. — THEOREM. If two triangles have one angle of the one equal to one angle of tJie other, and the sides about two other angles proportionals, then if each of tlie remaining angles... | |
 | Sir James Kay-Shuttleworth - 1853 - 522 sider
...triangles on each side of it arc similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about their equal angles reciprocally proportional. 3. Equiangular parallelograms... | |
 | Great Britain. Committee on Education - 1855 - 976 sider
...the other sides of the triangle have. 2. If two triangles have one angle of the one equal to one angh of the other, and the sides about the equal angles...equal which are opposite to the homologous sides. 3. If four straight lines be proportionals, the rectangle contained by the extremes is equal to the... | |
 | 1855 - 264 sider
...the segments of the hase shall have the same ratio which the other sides of thi; triangle have. 2. If two triangles have one angle of the one equal to one...about the equal angles proportionals, the triangles bhall be equiangular, and shall have those angles equal which are opposite to the homologous sides.... | |
 | Euclides - 1855 - 270 sider
...of one of the parallels passes through the extremities of all the parallels. PROP VII. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about another angle in each, proportionals ; and if the remaining angle in each be of the same affection... | |
 | John Playfair - 1855 - 334 sider
...equiangular to the triangle DEF. PROP. VI. THEOR. If two triangles have one angle of the one efnaH to one angle of the other, and the sides about the equal angles proportinnals, the triangles shall be equiangular, and shall have those angles equal which are opposite... | |
 | Robert Potts - 1855 - 1050 sider
...triangle and the other two sides produced. 6. If two triangles have one angle of the one equal to otie angle of the other, and the sides about the equal angles proportionals, the triangle shall be equiangular, and shall have those angles equal which are opposite to the homologous... | |
 | 1857 - 486 sider
...right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 9. If two triangles have one angle of the one equal to one...equal which are opposite to the homologous sides. 10. If two triangles which have two sides of the one proportional to two sides of the other, be joined... | |
 | 1857 - 1266 sider
...lesson on the bent lever. BIGHEB MATHEMATICS AND MATHEMATICAL PHYSICS. SECOND YEAR. SECTION I. — 1. If two triangles have one angle of the one equal to one angle of the other and the sides about two other angles proportional ; then if each of the remaining angles be less or not less than a right... | |
 | British and foreign school society - 1857 - 548 sider
...improvements are due to the eighteenth century? HIGHER MATHEMATICS AND MATHEMATICAL PHfSÏCg. 1. If two triangles have one angle of the one equal to one angle of the other atid the sides "aboiift two other angles proportional ; then if each of the remaining angles be less... | |
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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. 
