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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 - Page 33
by Euclid - 1826 - 180 pages
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The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...of every triangle are together equal to two right angles. 3. The complements of the parallelograms which are about the diameter of any parallelogram are equal to one another. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...theorem which is necessary for the solution of the next problem. ' The complements of the parallelograms which are about the diameter of any parallelogram are equal to one another.' The ' parallelograms about the diameter ' of any parallelogram are those whose diameters consist of...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...having one of its angles equal to a given rectilineal angle. 6. The complements of the parallelograms which are about the diameter of any parallelogram are equal to one another. Enunciate, without its demonstration, the subsequent proposition, for proving which the one set in...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...by the Inspector. Euclid. 290 THE PRACTICAL TEACHER. 291 2. The complements of the parallelograms, which are about the 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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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...angle with the least of the two sides of the given triangle. 3. The complements of the parallelograms, which are about the 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 Competitor, Volumes 3-4

1883 - 248 pages
...also themselves equal and parallel. (This is Euclid I., 33.) 3. The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. (Euclid I., 43.) F1. — Algebra. Answer two Questions. = (a* — 1) (x* 1. Prove that — (ax - y<)...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...to the given angle D. [Construction. PROPOSITION 43. THEOREM. The complements of the parallelogramt which are about the diameter of any parallelogram,...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 AC passes ;...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...triangle ABC, and it has one of its angles CEF equal to the given angle D, XLIII. — The, complements about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG, the parallelograms about AC, and BK, KD, the other parallelograms...
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884 - 204 pages
...and towards the same parts, are between the same parallels. (8) The complements of the parallelograms which are about the diameter of any parallelogram are equal to one another. (9) To a given straight line apply a parallelogram equal to a given triangle and having an angle equal...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...parallelograms about the diagonal. THEO. 4. The complements of the parallelograms about the diagonal of any parallelogram are equal to one another. Let ABCD be a parallelogram, FK, HG the complements of the parallelograms AFEH, EKCG about the diagonal AC : then shall the complement...
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