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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 ... - Seite 209
von Euclides - 1874
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...and 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 BAG to the angle EDF, and the sides about two other angles ABC, DEF, proportionals,...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 Seiten
...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...reciprocally proportional, are equal to one another. XVI. If four straight lines be proportionals, the rectangle contained by the extremes is equal to the...
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The Element of Geometry

John Playfair - 1836 - 148 Seiten
...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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 Seiten
...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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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 Seiten
...and 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 ; namely, the angle BAG to the angle EDF, and the sides about two other angles ABC, DEF, proportionals,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 Seiten
...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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...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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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 Seiten
...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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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 Seiten
...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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 Seiten
...and 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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