 | Euclides - 1879 - 146 pages
...triangle having an angle equal to an angle of the triangle. Show that the perimeters are likewise equal. PROPOSITION XLIII, THEOREM. The complements of the...parallelogram are equal to one another. Let ABCD be a / 7, of which AC is a diameter, and EH, GF the / — 7s about AC (that is, through which AC passes)... | |
 | Moffatt and Paige - 1879 - 474 pages
...described equal to the given triangle ABC, and having one of its angles CEF equal to the given angle D. QEF Proposition XLIII. Theorem. The complements of the...parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, GF the parallelograms about AC, that is, through... | |
 | W J. Dickinson - Geometry - 1879 - 44 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... | |
 | 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... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...that FECG is a parallelogram = the triangle ABC, and having the angle CEF = the angle D, QEF PROP. XLIII. THEOREM. The complements of the parallelograms...parallelogram are equal to one another. Let ABCD be a parallelogram, of which AC is a diameter, with the parallelograms AEKH and KGCF about the diameter,... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...given triangle ABC, and having one of its angles CEF equal to the given angle DQEF PROPOSITION 43. THEOREM. The complements of the parallelograms which...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,... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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 complements of the parallelograms which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a parallelogram, of which the diameter is AC... 
