| 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... | |
| 1855
...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... | |
| 1857
...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
...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
...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... | |
| War office - 1858 - 12 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 the arithmetical method of representing... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 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 - Bills, Legislative - 1859
...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 for the area of a triangle... | |
| Sandhurst roy. military coll - 1859 - 1869 pages
...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... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...their sides about the equal angles reciprocally proportional: and conversely, parallelograms that have **one angle of the one equal to one angle of the other,** and their sides about the equal angle* reciprocally proportional, are equal to one another. Let AB,SChe... | |
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