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" 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... "
The definitions, postulates, axioms, and enunciations of the propositions of ... - Pagina 30
di Euclides - 1848 - 42 pagine
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 pagine
...it may be shown, that any two 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 ; and conversely. For, if the equal angles be placed vertically as in the figure, and the parallelogram...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 pagine
...equal to one angle of the other have their sides about the equal angles reciprocally proportional: Jind triangles which have one angle in the one equal to...reciprocally proportional, are equal to one another. Let ABC, ADE be equal triangles, which have the angle BAG equal to the angle DAE: the sides about the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 pagine
...to one angle of the other have their sides about the equal angles reciprocally proportiontil : And triangles which have one angle in the one equal to...and their sides about the equal angles reciprocally pro~ fortional, are equal t<f one another. Let ABC, ADE be equal triangles, which have the angle BAC...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 pagine
...angles (37.). PROP. 41. (Eue. vi. 15.) Triangles 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 ; and, conversely, equal triangles which have one angle of the one equal to one angle of the other,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pagine
...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 Element of Geometry

John Playfair - 1836 - 148 pagine
...to one angle of the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle in the one equal to...reciprocally proportional, are equ.al to one another. Let ABC, ADE be equal triangles, which have the angle BAG equal to the angle DAE ; the sides about...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 pagine
...to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to...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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 pagine
...equal to one angle of the other have their sides about the equal angles reciprocally proportional ; And triangles which have one angle in the one equal to...reciprocally proportional, are equal to one another. Let ABC, ADE be equal triangles, which have the angle BAC equal to the angle DAE : the sides about...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pagine
...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 pagine
...to one angle of the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle in the one equal to...reciprocally proportional, are equal to one another. Let ABC, ADE be equal triangles, which have the angle BAG equal to the angle DAE ; the sides about...
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