| 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... | |
| 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... | |
| 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...diameter of any parallelogram are equal to one another. Let ABCD be a parallelogram, of which AC is a diameter, with the parallelograms AEKH and KGCF about... | |
| 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... | |
| 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...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... | |
| 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... | |
| 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...of any parallelogram are equal to one another. If the complements be squares determine their relation to the whole parallelogram. 7. The square on the... | |
| 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... | |
| 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... | |
| Marianne Nops - 1882 - 278 pages
...ABC.— QED I. 43. We pass on to a theorem which is necessary for the solution of the next problem. ' The complements of the parallelograms which are about...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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