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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 31
by Euclid - 1826 - 180 pages

## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...parallelogram is divided by its diagonals are equal in area. Section V. 1. The complements of parallelograms which are about the diameter of any parallelogram are equal to one another. If through a point O within the parallelogram ABCD two straight lines are drawn parallel to the sides,...

## A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...perimeters of the parallelogram and the triangle are also equal 43. The complements of the parallelograms, which are about the 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...

## Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...having the angle CEF = the angle D, QEF PROP. XLIII. THEOREM. The complements of the parallelograms which are about the diameter of any parallelogram...equal to 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 Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...angles CEF equal to the given angle DQEF PROPOSITION 43. THEOREM. The complements of the parallelograms which are about the diameter 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,...

## The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1516 pages
...perimeters of the parallelogram and the triangle are also equal. 43.The complements of the parallelograms, which are about the 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...

## Report on Foreign Systems of Naval Education

James Russell Soley - Naval education - 1880 - 346 pages
...third angle of the one equal to the third angle of the other. 3. The complements of the parallelograms, which are about the 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...

## Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...prove that DE is less than the greatest side of the triangle. 2. The complements of the parallelograms which are about the 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...

## Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...perpendicular, 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...