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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 - Page 31
by Euclid - 1826 - 180 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...triangle equivalent to a given rectangle. PROP. XLIII. THEOR. . The complements of the parallelograms which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram of which the diameter is AC ; let EH, FG be the parallelograms about AC, that is, through which AC...
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A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 80 pages
...; when AHIE shall be the rectangle required. Reason : because the complements of the parallelograms which are about the diameter of any parallelogram, are equal to one another. Vide Prop. XLIII, Bk. I. Euclid ; (. e. AF being the diameter,) the complement BEIG is equal to the...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...angle D. Which was to be done. PROPOSITION XLIII. THEOB. — The complements of the parallelograms, which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that is, through which AC passes...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...CEF equal to the given angle DQKF PROPOSITION XLIII. THEOREM. The complements of the parallelograms which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC: and EH, GF the parallelograms about AC, that is, through mhich AC passes:...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...angles CEF equal to the given angle DQEF PROP. XLIII. THEOR. The complements of the parallelograms, which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that is, through which AC passes,...
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 pages
...L FCG = gn. L E. — QEF PROP. XLIII. THEOR. GEN. ENUN. — The complements of the parallelograms, which are about the 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 ...

Euclid - 1848 - 52 pages
...angles equal to a given rectilineal angle. PROP. XLIII. THEOREM. The complements of the parallelograms, which are about the 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 ...

Euclid, Thomas Tate - 1849 - 120 pages
...angles CEF equal 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...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that is, through which AC passes,...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...The angle FEC will be the required angle.] PEOP. XLIII. THEOE. The complements of the parallelograms, which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FGr the parallelograms about AC, that is through which AC passes,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...given angle D. Which was to be done. PROPOSITION XLIII. THEOR. The complements of the parallelograms, which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, that is, through which AC passes,...
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