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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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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 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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## General Report on Public Instruction in the Bengal Presidency

1843 - 582 Seiten
...angles reciprocally proportional: and 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. 5. A common tangent is drawn to two circles which touch externally : if a circle be described on that...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 338 Seiten
...of 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. : trtangle BAD ; but CAB : BAD ::CA: AD, and BAD: BAD :: EA : AB ; therefore CA: AD:: EA: AB(11.5),...
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## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 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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## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 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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## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 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. First, let AB, BC be equal parallelograms, which have the angles at B equal : the sides of the parallelograms...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 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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## An elementary course of mathematics, Band 2

Samuel Hunter Christie - 1847 - 172 Seiten
...the angle GHI, and AB is to BC as GH to HI (VI. Def. 1): therefore the two triangles ABC, GHI, having one angle in the one equal to one angle in the other, and the sides about the equal angles proportionals, are equiangular (VI. 6); and therefore the angle BCAis...
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## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 Seiten
...have their sides about the equal angles reciprocally proportional: and conversely, triangles which have one angle in the one equal to one angle in the...reciprocally proportional, are equal to one another. PROP. XVI. THEOREM. If four straight lines be proportionals, the rectangle contained by the extremes...
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## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 Seiten
...and have those angles equal about which the sides are pro portionals. 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,...
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