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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 Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...triangle ABC, and it has one of its angles CEF equal to the given angle D, A. TJ . — The complements about the diameter of any parallelogram, are equal...be a parallelogram, of -which the diameter is AC, and EH, FG, the parallelograms about AC, and BK, KD, the other parallelograms which make up the whole...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...triangle ABC, and having one of its angles CEF equal to the given angle DQEF PROPOSITION 43.— Theorem. The complements of the parallelograms, which are about...ABCD be a parallelogram, of which the diameter is AC ; and EH, GF the parallelograms about AC, that is, through which AC passes : also BK, KD the other...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 páginas
...altitude. . •. all parallelograms, having equal bases and altitudes, are equal. PROPOSITION XXXIV. The complements of the parallelograms, which are about...of any parallelogram, are equal to one another. Let FGHK be a O-, and GK one of its diagonals, and SR, PN Os about the diagonal. Then FQ, QH, the remaining...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...equal to the angle contained by the two sides equal to them of the other. 2. Define a parallelogram. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. In the case of a square, if the squares about the diameter are 169 and 625 square feet in area, what...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874
...Construct a square which shatt be equal to a given rightangled isosceles triangle. PROPOSITION 43. THEOREM. The complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. j Let ABCD be a parallelogram, of which the '• diameter is AC; and EH, GF parallelograms about AC,...
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Pure Mathematics, Volumen1

Edward Atkins - 1874
...(Const.). Proposition 43.— Theorem. 17ie complements of the parallelograms which are about the diagonal of any parallelogram are equal to one another. Let ABCD be a parallelogram, of which the diagonal is AC ; and EH, GF parallelograms about AC, that is, through which AC passes ; and BK, KD...
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Examination Christmas,1875

Education Department,London - 1876
...if О be the middle point of the baee, the triangle FOG is equal to three times the triangle ADE. 3. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. If a parallelogram be divided into four equal parallelograms by lines drawn parallel to its sides,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 páginas
...rectangle, which is of the same altitude "^ and equal to, the given triangle. PROPOSITION XLIII. THEOREM. The complements of the parallelograms, which are about...diameter of any pa/rallelogram, are equal to one another. JLet ABCD be a O, of which BD is a diagonal, and EG, HK the Os about BD, that is, through which BD...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. 2. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. 3. Through a given point A draw a line, so that the perpendiculars upon it from two other given points...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 páginas
...DQEF Proposition 43. — Theorem. The complements of the parallelograms which are about iha diagonal of any parallelogram are equal to one another. Let ABCD be a parallelogram, of -which the diagonal is AC ; and EH, GF parallelograms about AC, that is, through -which AC passes ; and BK, KD...
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