| Euclides - 1853 - 147 páginas
...other, have their sides about the equal angles reciprocally proportional ; and parallelograms that **have one angle of the one equal to one angle of the other,** and their sides about the equal angles reciprocally proportional, are equal to one another. LET ab,... | |
| Euclides - 1853
...has been found a mean proportional HE. Which was to be done. PEOP. XIV. THEOE. If two parallelograms, **which have one angle of the one equal to one angle of** tie other, be equal : then they shall have their sides about this pair of equal angles reciprocally... | |
| 1855
...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 of the other,** and the sides about the equal angles proportionals, the triangles bhall be equiangular, and shall have... | |
| Euclides - 1855
...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... | |
| British and foreign school society - 1857
...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... | |
| 1857
...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 of the other,** and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| 1871
...the 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 :... | |
| War office - 1858 - 12 páginas
...of the 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 the arithmetical... | |
| Great Britain. Parliament. House of Commons - 1858
...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... | |
| Great Britain. Parliament. House of Commons - 1859
...ratio. 17. Inscribe, in 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 expression... | |
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