| Robert Potts - 1860 - 361 pagina’s
...the remaining 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... | |
| Euclides - 1861
...CD : EF, the proportion is direct. 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 ; thus in the line AB and its parts, » с AB:AC = AC:CB. For EUCLID'S definition, LARDWER substitutes,... | |
| Euclides - 1864
...the remaining 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... | |
| Euclides - 1865
...to the remaining side of the first.' m. 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... | |
| Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...to the 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... | |
| Robert Potts - 1868 - 410 pagina’s
...to the remaining side of the first." m. 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... | |
| Euclides, James Hamblin Smith - 1872 - 349 pagina’s
...described as was required. QEF DEF. V. 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. PROPOSITION XXX. PROBLEM. (Eucl. vi. 30.) To cut a straight line in extreme and mean ratio. ji... | |
| Euclides - 1874
...to the 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... | |
| James Martin (of the Wedgwood inst, Burslem.) - 1876
...proportion in the point F. NOTE. — "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 " (Euo. VI., Def. 3). Problem 146. To divide a given straight line AB successively into its half,... | |
| Robert Potts - 1876 - 403 pagina’s
...the remaining side of the first." in. 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... | |
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