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Boeken Boek 1 - 10 van 180 over ... have an angle of the one equal to an angle of the other, and the sides about....
" ... have an angle of the one equal to an angle of the other, and the sides about those angles reciprocally proportional, are equal to une another. "
The Elements of Euclid with Many Additional Propositions and Explanatory Notes - Pagina 87
door Eucleides - 1860
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...angles reciprocally proportional : and parallelograms that have one angle of the ono» 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pagina’s
...equal angles reciprocally proportional ; and parallelograms which have one angle of 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 ; the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pagina’s
...equal angles 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 anothfen Let AB, BC be equal parallelograms, which have the angles at B equal, and...
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 436 pagina’s
...chord has to the aggregate of the two chords that are next to it. PROP. VI. (XVII.) If two trapeziums have an angle of the one equal to an angle of the other, and if, also, the sides of the two figures, about each of their angles, be proportionals, the remaining...
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A supplement to the Elements of Euclid

Daniel Cresswell - 1819
...FAE, FH :HE::AF:AE; that is, FG is to GE in the given ratio. PROP. XVU. 23. THEOREM. If two trapeziums have an angle of the one equal to an angle of the other, and if, also, the sides of the two ^figures, about each of their angles, be proportionals, the remaining...
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Elements of Geometry

Adrien Marie Legendre - 1819 - 208 pagina’s
...general properties of triangles involve those of all figures, THEOREM. 208. Two triangles, whkh Iiave an angle of the one equal to an angle of the other and the sides about these angles proportional, are similar. Fig. 122. Demonstration. Let the angle A =...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1819
...angles reciprocally proportional : and parallelograms that iiive 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. Prop. XV. Theor. Equal triangles which have one angle of the one «qual to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 pagina’s
...angles 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...
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The new practical builder, and workman's companion, Volume 2

Peter Nicholson - 1823
...equal to the sum of the two lines AD, DB, therefore AB2 = AC2 THEOREM 63. 161. Two triangles, which have an angle of the one equal to an angle of the other, are to each other as the rectangle of the sides about the equal Suppose* the two triangles joined,...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 224 pagina’s
...: FH : : CD : HI ; but we have seen that the angle ACD = FHI; consequently the triangles ACD, FHI, have an angle of the one equal to an angle of the other and the sides about the equal angles proportional ; they are therefore similar (208). We might proceed...
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