| John Keill - 1723 - 364 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... | |
| John Keill - 1733 - 397 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 - 466 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 - 399 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 - 159 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 - 520 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 - 520 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 - 400 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 - 351 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
...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... | |
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