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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 - 1810 - 554 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...triangles, which have the angle BAC equal to the angle DAE ; the sides about the equal angles of the triangles are reciprocally proportional ; that is, CA is...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 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. .14. i. straight line*. The sides of the parallelograms AB, BC about the equal angles, are reciprocally...
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Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Band 10

Encyclopaedia Perthensis - 1816 - 772 Seiten
...(Th. 5.) therefore allb the triangk-s ABC, DEF are equiangular. THt.oR. XL.Jlf, 55. Triangles which have one angle in the one equal to one angle in the other, and the fides about thefe angles proportional, are equiangular. Let ABC, DEF be two triangles having the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 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, t DEF proportionals,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819 - 800 Seiten
...the ixher, have their sides about the equal angles reciprocally proportional : and mangles which bave one angle in the one equal to one angle in the other, and their sides about the equal angle» reciprocally proportional, are equal to one another. Prop. XVI. Theor. If four straight lines...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 Seiten
...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 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 - 1819 - 354 Seiten
...and have those angles equal about tnhich 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 Seiten
...reciprocally proportional: and parallelograms that have one angle of the o.he equal to one angle of the o(hsr, and their sides about the equal angles reciprocally proportional are equal to one another. Let AB,BCbe equal parallelograms, which have the anglesat B equal, and let the sides DB, BE be placed in...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...equiangular, and have those angles equal about which the tides art proportionals. Let the triangle« ABC, DEF have one angle in the one equal to one angle in the other, riz. the angle ВАС to the angle EDF, and the sides about two other angles ABC, DEF, proportional!!,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1826 - 326 Seiten
...of the other have their sides about the equal angles reeiproeally proportional : And triangles whieh have one angle in the one equal to one angle in the other, and their sides about the equal angles reeiproeally proportional, are equal to one another. Let ABC, ADE be equal triangles, whieh have the...
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