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" The complements of the parallelograms which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 69
by Euclides, James Hamblin Smith - 1872 - 349 pages
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...a given triang'e, and have one of itt anglei «quai tu a given rectilineal GEOM Prop. XM1I. Theor. The complements of the parallelograms which are about the diameter of any parallelogram, arc equal to one another. Prop. XLIV. Prob. To a given straight line to apply a parallelogram, which...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...angle D. Which was to be done. PROP. XLIII. THEOR. THE complements of the parallelograms, which art about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter it AC, and EH, FG, the parallelograms about AC, that is, through...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...be done. PROP. XLIII. THEOR. The complements of the parallelograms -which are about the diameter of of any parallelogram, are 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...of its angles CEF equal to the given angle D. Which was to be done. "\ I . . . PROP. XLIII. THEOR. ' THE complements of the parallelograms which are about the diameter of any parallelogram, are equal to on& another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...having one of it« angles CEF equal to the given angle D. Which was to be done. Proposition XL/77. Theorem. The complements of the parallelograms, which...parallelogram, are 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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...half of the perimeter of the other. PROPOSITION XLIII. THEOREM. The complements of any parallelogram which are about the diameter of any parallelogram are equal to one another. Let ABCD be a parallelogram whose diameter is BD. Let FH, EG, be the parallelograms, about the diameter * Hence also...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...half of the perimeter of the other. PROPOSITION XLIII. THEOREM. The complements of any parallelogram which are about the diameter of any parallelogram are equal to one another. Let ABCD be a parallelogram whose diameter is BD. Let FH, EG, be the parallelograms, about the diameter • Hence...
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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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...having one of its angles CEF equal to 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 ...

Euclides - 1834 - 518 pages
...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 the diameter of any parallelogram, are equnl to our another. Let ABCD be a parallelogram, of which A II • P the diameter is AC ; and EH,...
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