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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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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 páginas
...of its angles CEF equal to the given angle D. v•^v^— ' Which was to be done. PROP. XLIII. THEOR. The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC.letEH, FG be the parallelograms about AC, that is, through which AC passes, and let BK, KD be the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 páginas
...THEOR. The parallelograms about the diameter of any pa- see N. rattelogram are similar to the whole, 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 the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 páginas
...B it into two equal parts ; wherefore ABCD is also double of the triangle EBC. PROP. XXXVI. THEOR. The complements of the parallelograms which are about the diameter of any parallelogram, are equivalent to one another. Let A BCD be a parallelogram of which the diameter is AC ; let EH, FG be...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 311 páginas
...having one of its angles CEF equal to the given angle D. Which was to be done. PROF. XLIII. THEOR. The complements of the parallelograms which are about...parallelograms about AC, that is, through which AC passes, and let BK, KD be •the other parallelograms, which make up the whole El figure ABCD, and...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 páginas
...the same base, and between the same parallels; the parallelogram is double of the triangle. XLIII. The complements of the parallelograms which are about...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 Element of Geometry

John Playfair - 1836 - 114 páginas
...THEOR. The complements of the parallelograms which are about the diagonal of any parallelogram, ate equal to one another. Let ABCD be a parallelogram, of which the diagonal is AC, and EH, FG the parallelograms about AC, that is, through which AC passes, and BH, DK,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...THEOREM. The parallelograms about the diameter of any parallelogram, are similar to the whole, 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 . E is...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 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...ABCD be a parallelogram, of which the diameter is AC, and EH, FG the parallelograms about AC, AH D that is, through which AC passes, and BK, KD the other...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...its angles CEF equal to the given angle D. Wliica was to be done. PROP. XLIII. THEOR. The complement of the parallelograms which are about the diameter...ABCD be a parallelogram, of which the diameter is AC ; and EH, GF parallelograms about AC, that is, through which AC passes : and BK, KD the other parallelograms...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 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...be a parallelogram, of which the "diameter is AC, and EH, GF the parallelograms about AC, that is, through which AC passes, and BK, KD the other parallelograms...
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