 | John Keill - 1723 - 444 sider
...the Ratio's are in each figure. III. A Right Line is faid to be cut into mean and extreme Proportion, when the Whole is to the greater Segment, as the greater Segment is to the leffer. IV. The Altitude of any Figure, is a Perpendicular Line drawn from the "Top, or Vertex, to... | |
 | Euclid, John Keill - 1733 - 444 sider
...the Ratio's are in each Figure. III. A Right Line is faid to be cut into mean and extreme Proportion, when the whole is to the greater Segment, as the greater Segment is to the le/er. IV. The Altitude of any Figure, is a perpendicular Line drawn from the Top, or Vertex to the... | |
 | Robert Simson - 1762 - 488 sider
...the remaining fide of this other is to the remaining fide of " the firft." m. A frraight line is fafd to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to thelefs. IV. The altitude of any figure is the ftraight line... | |
 | John Keill - 1772 - 462 sider
...in each Figure. III. A Right Line is faid to be cut into mean and extreme Proportion, when the Wbole is to the greater Segment , as the greater Segment is to the le/er. IV. Ibe Altitude of any Figure is a perpendicular Line drawn from the Topt or Vertex ', to the... | |
 | Benjamin Donne - 1775 - 338 sider
...the remaining one of the laft two is to the remaining one of the firft. 176. Def. 24. A Line is faid to be cut in extreme and mean Ratio, when the Whole...the greater Segment as the greater Segment is to the lefs. • 177. Axiom i. Equimultiples of the fame, or equal Magnitudes, are equal to one another ;... | |
 | Robert Simson - 1775 - 534 sider
...remaining fide of this other is to * the remaining fide of the firft." III. A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the lefs. IV. The altitude of any figure is the ftraight line... | |
 | Euclid - 1781 - 552 sider
...remaining fide of this other is to " the remaining fide of the firft." III. A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the lefs. IV. The altitude of any figure is the ftraight line... | |
 | Euclid, John Playfair - 1795 - 462 sider
...the remaining fide of the other is to the remaining fide of the firft. III. A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the lefe. "* IV. The altitude of any figure is the ftraight line... | |
 | Alexander Ingram - 1799 - 374 sider
...the remaining one of the laft two is to the remaining one of the firft. III. A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the lefs. IV. The altitude of any figure is the ftraight line... | |
 | Robert Simson - 1804 - 530 sider
...the remaining fide of this other is to the remaining " fide of the firft." A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the iefs. IV, The altitude of any figure is the ftraight line... | |
| |
A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less. 
