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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 páginas
...angles of a parallelogram, are equal to one another. 4. The complements of the parallelograms,which are about the diameter of any parallelogram, are equal to one another. 5. To describe a square on a given straight line. 6. Let ABCD be a quadrilateral figure whose opposite...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877
...right line) are either two right angles, or are together equal to two right angles. (8.) 9. Prove that the complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. (10.) 10. ABCD is a trapezium of which the side AB is parallel to the side CD, and its diagonals AC...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...DQEF Proposition 43.— Theorem. The 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 the...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...of every triangle are together equal to two right angles. Find the angle of u regular pentagon. 2. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. Two straight lines parallel to the sides of a parallelogram divide it into four parallelograms ; if...
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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878
...one-sixteenth of a given triangle, and having the same angles. 3. The complements of the parallelogram which are about the diameter of any parallelogram are equal to one another. State and prove the converse of this proposition. 4. In any right-angled triangle the square on the...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...triangle ABC, and having one of its angles CEF equal to the given angle D. QEF Proposition XLIII. 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 let BK, KD be the other...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...an angle of the triangle. Show that the perimeters are likewise equal. PROPOSITION XLIII, THEOREM. The complements of the parallelograms which are about...parallelogram are equal to one another. Let ABCD be a / 7, of which AC is a diameter, and EH, GF the / — 7s about AC (that is, through which AC passes)...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 páginas
...two-thirds of a right angle, the perimeters of the parallelogram and the triangle are also equal 43. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. 44. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...two exterior angles of a triangle are together greater than two right angles. 2. The complements of parallelograms, which are about the diameter of any parallelogram, are equal to each other. What is the greatest value which these complements, for a given parallelogram, can have...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 páginas
...parallelogram = the triangle ABC, and having the angle CEF = the angle D, QEF PROP. XLIII. THEOREM. The complements of the parallelograms which are about...one another. Let ABCD be a parallelogram, of which AC is a diameter, with the parallelograms AEKH and KGCF about the diameter, ie through which the diameter...
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