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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 ... - Page 42
by John Playfair, Euclid - 1804 - 440 pages
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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...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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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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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...point on either of these two sides, prove that DE is less than the greatest side of the triangle. 2. The complements of the parallelograms which are about...diameter of any parallelogram, are equal to one another. 3. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle...
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Report on Foreign Systems of Naval Education

James Russell Soley - Naval education - 1880 - 346 pages
...equal, each to each, and also the third angle of the one equal to the third angle of the other. 3. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. 4. On the sides AB, BC, CD of a parallelogram are described equilateral triangles ABE, CDF without...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 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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The preliminary army examination made easy, a guide to self-preparation

John Gibson - 1881 - 64 pages
...parallelogram equal to a given triangle and having one of its angles equal to a given rectilineal angle. 2. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. 3. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...equal the one to the other. Bisect a parallelogram by a line drawn from a point in one of its sides. 6. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. If the complements be squares determine their relation to the whole parallelogram. 7. The square on...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...and the remaining side, will form an equilateral triangle. 2. The complements of the parallelogram, which are about the diameter of any parallelogram, are equal to one another. ALGEBRA.. 1. Divide 189a;4-91x3j/-|-62xy- 13xy'+5yt by 27a;l2. Find the GCM of 7x!-23x+6 and 5z'-18z2...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...construction shall make the required angle with the least of the two sides of the given triangle. 3. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. What is the greatest value which these complements can have for a given parallelogram ? 4. If a straight...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...the substance of the passage read to you by the Inspector. Euclid. 290 THE PRACTICAL TEACHER. 291 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 lhat the perpendiculars upon it from two other given points...
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