| Euclides - Geometry - 1853 - 176 pages
...proportional db is found. Which was to done. PROPOSITION XIV. — THEOREM. 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... | |
| 1855 - 264 pages
...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 - 262 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... | |
| 1857 - 488 pages
...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... | |
| Mathematics - 1871 - 412 pages
...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 :... | |
| British and foreign school society - 1857 - 548 pages
...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... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 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... | |
| War office - 1858 - 578 pages
...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... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...is the income tax.? 10. Extract the square root of 6575-5881. Voluntary Portion. 2. If two triangles **have one angle of the one equal to one angle of the other, and** the sides about two other angles proportionals, each of the remaining angles being greater than a right... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...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... | |
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