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" The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. "
Elements of Geometry;: Containing the First Six Books of Euclid, with a ... - Página 42
por Euclid, John Playfair - 1804 - 440 páginas
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 páginas
...XXIV. THEOR. The parallelograms about the diameter of any parallelogram, are similar to the whole, and to one another. Let ABCD be a parallelogram, of which the diameter is AC ; and EG, HK the parallelograms about the diameter : the parallelograms EG, HK are similar, both to...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...which = the gn. Dm ABCD, and having the L FCG = gn. L E. — QEF PROP. XLIII. THEOR. GEN. ENUN. — The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. PART. ENUN. — Let ABCD be aam, of which the diam. is AC ; EH, FG the AH » am8 about AC, ie through...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...given triangle, and have one of its angles equal to a given rectilineal angle. PROP. XLIII. THEOREM. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. PROP. XLIV. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 páginas
...to the given angle D. Which was to be done. PROP. XLIII. THEOR. The complements of the parallelogram which are about the diameter of any parallelogram,...ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that is, through which AC passes, and BK, KD the other parallelograms...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...equal to KL, touch the arc F. Join FE. The angle FEC will be the required angle.] PEOP. XLIII. THEOE. The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC, and EH, FGr the parallelograms about AC, that is through which AC passes, and BK, KD, the other parallelograms...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...having one of its angles CEF equal to the given angle D. Which was to be done. PROPOSITION XLIII. THEOR. The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that is, through which AC passes, and BK, KD the other parallelograms...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...having one of its angles CEF equal to the given angle D. Which was to be done. PROP. XLIII. — THEOREM. The complements of the parallelograms which are about...ABCD be a parallelogram, of which the diameter is AC, and EH, FG, the parallelograms about AC, that is, through which AC passes, and BK, KD, the other parallelograms...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...be done. PROPOSITION XLIII. — THEOREM. The complements of the parallelograms, which are about (lie diameter of any parallelogram, are equal to one another....abcd be a parallelogram, of which the diameter is ac, and eh, fg, the pa- a , h d. rallelograms about ac, that is, through which ac passes, and bk, kd, the...
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Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854
...(2), 8in"Z> = cos EXAMINATION PAPERS FOR THE MATHEMATICAL TRIPOS 1854. TUESDAY, Jan. 3. 9... 12. 1 . THE complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. If J5T be the common angular point of these parallelograms, and BD the other diameter, the difference...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - 1854 - 225 páginas
...proportional to The equations (5) and (6) become therefore and aa TUESDAY, Jan. 3, 1854. 9... 12. 1. THE complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. If K be the common angular point of these parallelograms, and BD the other diameter, the difference...
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