| Euclides - 1870 - 270 pages
...Prop. 41 equal to the parallelogram FECG. , PROP. 43. — THEOR. The complements of the parallelograms **which are about the diameter of any parallelogram, are equal to one** anotlier. DKM. — P. 34. The opposite sides and angles of parallelograms are equal, and the diameter... | |
| Euclides - 1871 - 136 pages
...of the same altitude with, and equal to, the given triangle. The complements of the parallelograms, **which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a** O, of which BD is a diagonal, and EG, HK the Os about BD, that is, through which BD passes, and AF,... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...and cqua1 to, the given triangle. PROPOSITION XLIII. THEOREM. The complements of the parallelograms, **which are about the diameter of any parallelogram, are equal to one another. Let ABCD be a** O, of which BD is a diagonal, and EG, HK the Os about BD, that is, through which BD passes, and AF,... | |
| Henry Major - Student teachers - 1873 - 592 pages
...triangle ABC, and it has one of its angles CEF equal to the given angle D, A. TJ . — 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... | |
| Euclides - 1874 - 342 pages
...CEF equal to the given angle DQEF PROPOSITION 43.— 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 the diameter is AC ; and EH, GF the parallelograms about AC, that is, through which AC passes... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...having equal bases and altitudes, are equal. PROPOSITION XXXIV. The complements of the parallelograms, **which are about the diameter of any parallelogram, are equal to one another. Let** FGHK be a O-, and GK one of its diagonals, and SR, PN Os about the diagonal. Then FQ, QH, the remaining... | |
| Edward Atkins - 1874 - 428 pages
...(Const.). Proposition 43.— Theorem. 17ie complements of the parallelograms which are about the diagonal **of any parallelogram are equal to one another. Let ABCD be a parallelogram,** of which the diagonal is AC ; and EH, GF parallelograms about AC, that is, through which AC passes... | |
| Braithwaite Arnett - 1874 - 130 pages
...sides equal to them of the other. 2. Define a parallelogram. The complements of the parallelograms **which are about the diameter of any parallelogram are equal to one another.** In the case of a square, if the squares about the diameter are 169 and 625 square feet in area, what... | |
| Euclides - 1874 - 120 pages
...given rightangled isosceles triangle. PROPOSITION 43. THEOREM. The complements of the parallelograms **which are about the diameter of any parallelogram, are equal to one another.** j Let ABCD be a parallelogram, of which the '• diameter is AC; and EH, GF parallelograms about AC,... | |
| Henry Major - 1876 - 784 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.** 1. Divide 189**-9h:32/ + 62a;y-13,^3 + 5i/ by 27x2-13xy-r5y"-. 2. Find the GCM of 7*2-23a:-t-6 and... | |
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