| Euclid, John Keill - Geometry - 1723 - 364 pages
...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 - Trigonometry - 1733 - 397 pages
...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... | |
| Benjamin Donne - Geometry, Plane - 1775 - 159 pages
...one of the firft. 176. Def. 24. A Line is faid to be cut in extreme and mean Ratio, when the Whole **is to 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 ;... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...side of the first. III. 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.** IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...side of the first." III. 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.** IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
| John Mason Good - 1813
...remaining side of the first. 3. 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.** 4. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
| Charles Butler - 1814
...figure, but the idea of ratio does not occur ; here we are to divide a line, so that the whole may be **to the greater segment, as the greater segment is to the less,** and tlie idea of figure has no place ; but our business is solely with the agreement of certain ratios.... | |
| John Playfair - 1819 - 317 pages
...side of the first. III. 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.** IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
| Euclides - 1821
...line. 3. The altitude of any figure is the right line from the vertex perpendicular to the base. 4. **A right line is said to be cut in extreme and 'mean...greater segment as the greater segment is to the less.** 5. A J'iglit line is said to be cut harmonically when it is divided into three segments, such that... | |
| Euclid - 1826 - 180 pages
...remaiuing side of the first. 3. A right 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.** 4. The altitude of any figure is the perpendicular drawn from the vertex to the base. PROPOSITION I.... | |
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