| Euclid - 1837 - 390 páginas
...triangles ABC, DEF are equiangular : wherefore, if the sides, &c. PROP. VI. THEOR. 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 remaining angles are equal, each to each,... | |
| John Playfair - 1837 - 318 páginas
...of the other, have their sides about the equal angles reciprocally proportional : And pa allelograms **which have one angle of the one equal to one angle of the** ot/ier, and their sides about the equal angles reciprocally proportional, are equal to one another.... | |
| Andrew Bell - 1837 - 240 páginas
...therefore the triangle ABC is equiangular to the triangle DEP. PROPOSITION VI. THEOREM. If two triangles **have one angle of the one equal to one angle of the other,** and the sides ahout the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
| Charles Reiner - 1837 - 215 páginas
...angles of the one are equal to the angles of the other, each to each. M. — Draw two triangles having **one angle of the one equal to one angle of the other.** P. — Let the angle bac be equal to the angle e df. ? M. — If the angle bac be equal to the angle... | |
| Euclid - 1838 - 416 páginas
...AB, BC, a mean proportional DB is found. Which was to be done. PROP. XIV. THEOR. 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 angle... | |
| Euclides - 1838
...BC, a mean proportional DB is found. Which was to be done. PROP. XIV. THEOR. Equal parallelograms, **which have one angle of the one equal to one angle of the other,** ham their sides about the equal angles reciprocally proportional : and parallelograms that have one... | |
| Great Britain. Committee on Education - 1853
...2. About a given circle, to describe a triangle equiangular to a given triangle. 3. 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... | |
| Euclides - 1840
...have those angles equal which are opposite to the homologous sides, PROP. VII. THEOR. 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 the remaining angles be each either less... | |
| Euclides - 1840
...XIV. THEOR. Equal parallelograms (AB, BC) which have an angle (DBF) of the one equal to an angle (GBE) **of the other, have the sides about the equal angles reciprocally proportional** (DB : BE : : GB : BF) : and parallelograms which have an angle in the one equal to an angle in the... | |
| Euclides - 1841 - 351 páginas
...the other, have their sidei 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,... | |
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