 | 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,... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | 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... | |
 | 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... | |
 | 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 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... | |
 | John Gibson - 1881 - 64 pages
...having one of its angles equal to a given rectilineal angle. 2. The complements of the parallelograms which are about the 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... | |
 | Education, Higher - 1881 - 504 pages
...parallelogram by a line drawn from a point in one of its sides. 6. The complements of the parallelograms which are about the 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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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
