 | John Keill - 1723 - 444 σελίδες
...equal Angles of the Triangles ABG, DEF, are reciprocal : But thofe Triangles that have one Angle of the one, equal to one Angle of the other; and the Sides about the fc if ofthis. equal Angles reciprocal, are \ equal. Therefore the Triangle A BG, is equal to the... | |
 | Euclid, John Keill - 1733 - 444 σελίδες
...GFL ; and BA is to AE as GF is to* FL. Now fmce ABE, FGL, are two Triangles, having one Angle of the one equal to One Angle of the other, and the Sides about the equal Angles proportional ; .the Triangle ABE will be * equiangular * doftbit. to the .Triangle... | |
 | Robert Simson - 1806 - 546 σελίδες
...Wherefore, if two triangles, &c. QE D, PROP. VII. THEOR. See N. IF two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals, then, if each of the remaining angles be either less, or not less,... | |
 | John Playfair - 1806 - 320 σελίδες
...parallelogram BC. Therefore, equal parallelograms, &c. QED PROP. XV. THEOR. EQUAL triangles, which have one angle of one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle... | |
 | John Mason Good - 1813 - 714 σελίδες
...are opposite to the ho* uinl.igDus sides. Prop. VII. Theor. If two triangles have one aiigle of the one equal to one angle of the other, and the sides about two other angles, proportional«, then, if each of the remaining angles be either le»s, or not less,... | |
 | Euclides - 1816 - 588 σελίδες
...triangle DEF. Wherefore, if the sides, Ike. 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 have those angles equal... | |
 | John Playfair - 1819 - 354 σελίδες
...DEF'. Wherefore, if two triangles, &.c. Q, E}D 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 proportionals, then, if each of the remaining angles be either less, or not less,... | |
 | Euclides - 1826 - 226 σελίδες
...sides about the equal angles are reciprocally proportional; and if triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, these triangles are equal. And because the triangle ABC... | |
 | Euclid - 1826 - 234 σελίδες
...about the equal angle* are reciprocally proportional ; and if parallelogram* have one angle of the one equal to one angle of the other, and the sides about the equal angles recipncauy proportional ; these parallelograms shall be equal to one another. Let... | |
 | George Lees - 1826 - 276 σελίδες
...1. b 112. Alg. o 11. Alg. d 2- 4e11 1• PROP. VII. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals, then, if each of the remaining angles be either less, or not less,... | |
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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. 
