 | Euclides - Geometry - 1853 - 334 pages
...the three angles DEF, EFD, FDE. "Which -was to be proved. PEOP. VI. THEOE. If two triangles have (1) one angle of the one equal to one angle of the other ; (2) the sides about this pair of angles proportional : then these two triangles shall be similar,... | |
 | John Playfair - Geometry - 1855 - 334 pages
...Therefore th« triangle ABC is equiangular to the triangle DEF PROP. VII. THEOR. If two triangles have one angle of the one equal to one angle of the other,...two other angles proportionals, then, if each of the remainmg angles be either less, or not less, than a right angle, the triangles shaU be equiangular,... | |
 | Euclides - 1855 - 270 pages
...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... | |
 | 1855 - 264 pages
...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 of the other, and the sides about the equal angles proportionals, the triangles bhall be equiangular, and shall have those angles equal... | |
 | Education - 1857 - 1266 pages
...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 angle, or if one... | |
 | 1857 - 486 pages
...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 of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal... | |
 | British and foreign school society - 1857 - 548 pages
...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... | |
 | Mathematics - 1871 - 420 pages
...proposition and reduces it to a case of ambiguous equality. Let the triangles ABC, DEF (fig. 9) have one angle of the one equal to one angle of the other; namely, L ВАС =¿ DEF, and the sides about two other angles ABC, EDF proportionals, so that AB :... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...Triangles of the same altitude are one to the other as their bases. 6. PROP. VI. — 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 equiangular, and shall have those angles equal... | |
 | War office - 1858 - 578 pages
...angles at the base double of the third angle. 8 DIRECT COMMISSIONS. 2. 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. Show also how this follows from... | |
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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. 
