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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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Civil Service of India: Open Competition for the Regulations, Examinations ...

Civil service - 1878 - 228 pages
...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 - 226 pages
...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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...sum of its sides shall be equal to the sum of the sides of the triangle. PROPOSITION XLIII. TIIEOREM. The complements of the parallelograms, which are about...Os about BD, that is, through which BD passes, and r AF, FC the other Os, which make up the whole figure ABCD, and which are .'. called the Complements....
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...the parallelograms, which are about the diameter of any parallelogram, are equal to one another. C Let ABCD be a O, of which BD is a diagonal, and EG,...Os about BD, that is, through which BD passes, and fAF, FC the other Os, which make up the whole figure ABCD, and which are .'. called the Complements....
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...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...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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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...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 - Geometry - 1879 - 44 pages
...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 - 94 pages
...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

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...parallelogram = the triangle ABC, and having the angle CEF = the angle D, QEF PROP. XLIII. THEOREM. The complements of the parallelograms which are about...parallelogram are equal to one another. Let ABCD be a parallelogram, of which AC is a diameter, with the parallelograms AEKH and KGCF about the diameter,...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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...of any parallelogram, are equal to one another. Let ABGD be a parallelogram, of which the diameter Is AC; and EH, GF parallelograms about AC, that is,...
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