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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 two (third and fourth) books of ... - Page 69
by Euclides - 1871
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...of its angles CEF equal to the given angle D. V—"Y"*<' Which was to be done. PROP. XLIII. THEOR. The complements of the parallelograms, which are about...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...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 - Euclid's Elements - 1836 - 488 pages
...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...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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 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...parallelogram, are 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...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...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...parallelogram, are 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...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 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...parallelogram, are 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...will apply to the problem : to make a triangle equivalent to a given rectangle. PROP. XLIII. THEOR. . The complements of the parallelograms which are about...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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...equivalent to the sum of the two triangles ; that is, to the trapezoid ABC r>. QED PROP. XLIII. THEOR. THE complements of the parallelograms, which are about the diameter of any parallelogram, are equal or equivalent to one another. Let ABC D be a parallelogram, of which the diameter is AC; and EH, FG,...
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A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 80 pages
...parallel to AE, cutting AD in H, and EF in I ; when AHIE shall be the rectangle required. Reason : because the complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. Vide Prop. XLIII, Bk. I. Euclid ; («. e. AF being the diameter,) the complement BEIG is equal to the...
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