 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...; prove that the triangle ADE is equal to the triangle ABC. 10. Prove that a pair of the diagonals of the parallelograms, which are about the diameter of any parallelogram, are parallel to each other. PROPOSITION XL VI. PROBLEM. To describe a square upon a given straight line.... | |
 | Henry Major - Student teachers - 1873 - 588 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...be a parallelogram, of -which the diameter is AC, and EH, FG, the parallelograms about AC, and BK, KD, the other parallelograms which make up the whole... | |
 | Euclides - 1874 - 342 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...ABCD be a parallelogram, of which the diameter is AC ; and EH, GF the parallelograms about AC, that is, through which AC passes : also BK, KD the other... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...altitude. . •. all parallelograms, having equal bases and altitudes, are equal. PROPOSITION XXXIV. The complements of the parallelograms, which are about...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... | |
 | Braithwaite Arnett - 1874 - 130 pages
...equal to the angle contained by the two sides equal to them of the other. 2. Define a parallelogram. The complements of the parallelograms which are about...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
...Construct a square which shatt be equal to a given rightangled isosceles triangle. PROPOSITION 43. THEOREM. The complements of the parallelograms which are about...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,... | |
 | 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 ; and BK, KD... | |
 | Education Department,London - 1876 - 1010 pages
...if О be the middle point of the baee, the triangle FOG is equal to three times the triangle ADE. 3. The complements of the parallelograms which are about...diameter of any parallelogram are equal to one another. If a parallelogram be divided into four equal parallelograms by lines drawn parallel to its sides,... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...rectangle, which is of the same altitude "^ and equal to, the given triangle. PROPOSITION XLIII. THEOREM. The complements of the parallelograms, which are about...diameter of any pa/rallelogram, are equal to one another. JLet ABCD be a O, of which BD is a diagonal, and EG, HK the Os about BD, that is, through which BD... | |
 | Henry Major - 1876 - 784 pages
...lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. 2. The complements of the parallelograms, which are about...diameter of any parallelogram, are equal to one another. 3. Through a given point A draw a line, so that the perpendiculars upon it from two other given points... | |
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The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 
