 | Euclides - 1838 - 264 pages
...given straight lines 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, ham their sides about the equal angles reciprocally proportional : and parallelograms that have one... | |
 | Great Britain. Committee on Education - School buildings - 1853 - 1218 pages
...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 - 82 pages
...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 - Geometry - 1841 - 378 pages
...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,... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...to one angle of the other, have their sides about the equal angles reciprocally proportional : And parallelograms which 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 - 1842 - 316 pages
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED 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 triangles shall be equiangular, and shall... | |
 | Education - 1843 - 582 pages
...angle of the other, have their sides about the equal angles reciprocally proportional: and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal. 5. A common tangent is... | |
 | Education - 1844 - 688 pages
...with the touching line, shall be equal to the angles in the alternate segments. 12. 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. MECHANICS AND... | |
 | Scottish school-book assoc - 1845 - 444 pages
...EBG of /_..--•"" the other, have the sides about the D equal angles reciprocally proportional; and parallelograms which have one angle of the one, equal to one angle of the other, and the sides about the equal angles reciprocally proportional, (viz. DB:BE=GB:BF), are equal. Let... | |
 | Euclides, James Thomson - Geometry - 1845 - 382 pages
...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, viz.... | |
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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. 
