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" ... triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another. "
The Elements of Euclid, containing the first six books, with a selection of ... - Σελίδα 209
των Euclides - 1874
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...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 let the sides DB, BE be placed...

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...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. Let AB, BC be equal parallel- ^ xt ograms, which have the angles at B rr \ equal, and let the sides DB,...

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...the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle in the one equal to one angle in the...ABC, ADE be equal triangles, which have the angle BAG equal to the angle DAE ; the sides about the equal angles of the triangles are reciprocally proportional...

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...shall haue those angles equai about which the sides are proportionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BAC to the angle EDF, and the sides about two other angles, ABC, DEI- proportionals,...

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...equiangular to one another. If two triangles have two sides in the one equal to two sides in the other, and one angle in the one equal to one angle in the other, not contained by the equal sides, they may still be unequal ; or, if they have two angles and a side...

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...shall have those angles equal about which the sides are proportionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals, so...

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