| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...proportional DB is found. Which was to be done. PROPOSITION XIV. THEOR. Equal parallelograms which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : and parallelograms that have one... | |
| Euclides - Geometry - 1853 - 176 pages
...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... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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 pages
...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 angle...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 pages
...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... | |
| Robert Potts - 1855 - 1050 pages
...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... | |
| John Playfair - Geometry - 1855 - 334 pages
...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... | |
| 1857 - 486 pages
...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 angle...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... | |
| Education - 1857 - 1266 pages
...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 pages
...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... | |
| |