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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 33
by Euclid - 1826 - 180 pages
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...given angle D. Which was to be done. Proposition XL/77. 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, FG, the parallelograms about AC, that is through which AC passes,...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...perpendicular the aggregate of the perpendiculars drawn from the vertical angles unto the diagonal. 3. If the sides of a parallelogram be bisected, the...upon the same base, or upon equal bases : thus let there be two triangles ABC, DEF, which are equal, and between the same parallels AD, BF, * the bases...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...given angle D. Whieh was to be done. PROP. XLIII. THEOR. The eomplements of the parallelograms whieh are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram of whieh the diameter is AC; let EH,FGbe the parallelograms about AC, that is, through whieh AC passe?,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...the given angle D. Which was to be done. PROP. XLIII. THEOR. The complements of the parallelograms which are about the diameter of any parallelogram, are equal to one anotJier. Let ABCD be a parallelogram of which the diameter is AC ; let EH, FG be the parallelograms...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...angle D. V—"Y"*<' Which was to be done. 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 passes,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...the given angle D. Which was to be done. PROF. 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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...parallels; the parallelogram is double of the triangle. XLIII. The complements of the parallelograms which are about the diameter of any parallelogram, are equal to one another. XLVII. In any right angled triangle, the square which is described upon the side subtending the right...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...the given angle D. Which was to be done. 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, AH D that is, through which AC...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...the given angle D. Wliica was to be done. PROP. XLIII. THEOR. The complement 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 parallelograms about AC, that is, through which AC passes...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...given angle D. Which was to be done. -• 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, GF the parallelograms about AC, that is, through which AC passes,...
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