 | Great Britain. Parliament. House of Commons - 1859 - 140 páginas
...a given circle, first, a regular hexagon ; secondly, a regular pentagon. 18. 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. 19. Investigate a trigonometrical... | |
 | Civil service - 366 páginas
...proportion. PROP. I. — Triangles of the same altitude are one to the other, as their bases. 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... | |
 | Joseph Charles Parkinson - 1860 - 154 páginas
...PROP. I. — Triangles of the same altitude are one to the other as their bases. fi. 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... | |
 | Robert Potts - 1860 - 380 páginas
...triangle ABC is equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, find the sides about the equal angles proportionals, the triangles shaU be equiangular, and shall have... | |
 | War office - 1861 - 260 páginas
...less than a right angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one angle of the one equal to...and the sides about two other angles proportionals, and if each of the remaining angles be not less than a right angle, the triangles shall be equiangular,... | |
 | War office - 1861 - 714 páginas
...perpendicular to the line touching the circle. Voluntary Portion. 1. To inscribe a square in a given circle. 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 shall be equiangular to one another, and shall have those... | |
 | Woolwich roy. military acad - 1861 - 572 páginas
...described on P 0 as diameter will pass through all the points of contact. 8. 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... | |
 | E. J. Brooksmith - 1889 - 356 páginas
...are the middle points ofAB, CD, prove that PQ_ is parallel to AC and BD. 10. 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 ; and, conversely, triangles which... | |
 | New Brunswick. Board of Education - 1889 - 1004 páginas
...and those which are opposite to the equal angles are homologous sides. 6. 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. N. В.- --Female candidates will... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 páginas
...the rectangle contained by the sides about the other, the triangles are equal. (ii.) Conversely: — If two triangles have one angle of the one equal to one angle of the other, the rectangle contained by the sides about one of those angles is equal to the rectangle contained... | |
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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. 
