 | Benjamin Peirce - 1837 - 216 pagina’s
...equilateral or equiangular with respect to each other, are equivalent. 467. Lemma. If two triangles have an angle of the one equal to an angle of the other ; and the sides which include the angle in one triangle are supplements of those which include it in the... | |
 | Andrew Bell - 1837 - 290 pagina’s
...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, BC, be equal parallelograms, which have the angles at B equal, and... | |
 | Euclid, James Thomson - 1837 - 410 pagina’s
...which exhibits the subject in a different, and in some respects, a preferable light. Triangles which have an angle of the one equal to an angle of the other, are proportional to the rectangles contained by the sides about those angles : and (2.) equiangular... | |
 | Euclides - 1838 - 264 pagina’s
...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, BC be equal parallelograms, which have the angles at B equal : the... | |
 | Adrien Marie Legendre - 1838 - 382 pagina’s
...triangles include, by implication, those of all figures. PROPOSITION XX. THEOREM. Two triangles, which have an angle of the one equal to an angle of the oiher, and the sides containing those angles proportional, are similar. In the two triangles ABC, DEF,... | |
 | Euclides - 1840 - 192 pagina’s
...of the other, have the sides about the equal angles reciprocally proportional : and, triangles which have an angle of the one equal to an angle of the other, and the sides about the equal angles reciprocally proportional, are equal. Let the triangles be so placed... | |
 | Euclides - 1840 - 82 pagina’s
...a mean proportional between two given straight lines. PROP. XIV. THEOR. Equal parallelograms which have an angle of the one equal to an angle of the other, have the sides about the equal angles reciprocally proportional : and parallelograms which have an... | |
 | Adrien Marie Legendre - 1841 - 288 pagina’s
...the general properties of triangles involve those of all figures. THEOREM. 208. Two triangles, which have an angle of the one equal to an angle of the other, and the sides about these angles proportional, are similar. fig. 122. Demonstration. Let the angle A =... | |
 | Euclides - 1841 - 378 pagina’s
...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, BC be equal parallelograms, which have the angles of B equal: the... | |
 | John Playfair - 1842 - 332 pagina’s
...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, BC be equal parallelograms, which have the angles at B equal, and... | |
| |
... have an angle of the one equal to an angle of the other, and the sides about those angles reciprocally proportional, are equal to une another. 
