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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 - 1819 - 317 páginas
...XXIV. THEOR, The parallelograms about the diameter of any parallelogram, are /t-.,- to the wholet 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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 páginas
...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 - 1825 - 372 páginas
...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 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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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 páginas
...half of the perimeter of the other. PROPOSITION XLIII. THEOREM. The complements of any parallelogram which are about the diameter of any parallelogram...equal to one another. Let ABCD be a parallelogram whose diameter is BD. Let FH, EG, be the parallelograms, about the diameter * Hence also it may be...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 páginas
...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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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...half of the perimeter of the other. PROPOSITION XLIII. THEOREM. The complements of any parallelogram which are about the diameter of any parallelogram...equal to one another. Let ABCD be a parallelogram whose diameter is BD. Let FH, EG, be the parallelograms, about the diameter • Hence also it may be...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...THEOR. The complements of the parallelograms vihich are about the diameter of any parallelogram, arc equal to one another. Let ABCD be a parallelogram, of which the diameter is AC; and EH, GF parallelograms about AC, that is, through1ahich AC passes s and BK, KD the other parallelograms...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 páginas
...XLIII. THEOR. The complements of the parallelograms which ameter of any parallelogram, are equal to Let ABCD be a parallelogram of which the diameter...parallelograms about AC, that is, through which AC passes, and let BK, KD be the other AH D parallelograms, which make up the whole figure ABCD, and are...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 páginas
...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
...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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