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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 ... - Pagina 42
di John Playfair, Euclid - 1804 - 440 pagine
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pagine
...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 - 514 pagine
...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 - 1046 pagine
...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 - 234 pagine
...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 - 326 pagine
...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 - 226 pagine
...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 - 546 pagine
...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 - 358 pagine
...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 - 346 pagine
...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 pagine
...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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