 | John Keill - 1723 - 444 Seiten
...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 Seiten
...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 - 1775 - 338 Seiten
...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 - 1806 - 320 Seiten
...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 - 1806 - 546 Seiten
...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 - 714 Seiten
...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 - 582 Seiten
...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 - 354 Seiten
...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 - 294 Seiten
...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 - 234 Seiten
...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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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. 
