| Henry Major - 1873
...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
...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 - 1874 - 349 páginas
...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
...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
...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
...(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
...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 - 349 páginas
...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
...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... | |
| Edward Atkins - 1876 - 119 páginas
...DQEF Proposition 43. — Theorem. The complements of the parallelograms which are about iha 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... | |
| |