 | Thomas Blount - English language - 1707 - 888 pages
...out of the Veins, &c. Extrejm and mean Proportion, a line is divided in Extream and mean Proportion , when the whole line is to the greater Segment, as the greater is to the lefs. Extremity , the end, edge," brink or border of a thing: alfo diflrefs. Extricate. (Lat.)... | |
 | English language - 1707 - 590 pages
...of the Veins, &c, Extreant an:l mian Proportion, a line is divided in Extream and mean Proportion , when the whole line is to the greater Segment, as the greater is to the lefs. Extremity , the end, edge," brink or border of a thing ; alfo diftrefs. Extricate.... | |
 | Euclid - Euclid's Elements - 1789 - 296 pages
...fecond, of the fecond to the third, and fo on, to the laft. , 8. A right line is faid to be divided in extreme and mean ratio, when the whole line is to the greater fegment, as the greater fegment is to the lefs. PROP. PROP. I. Triangles and parallelograms, having... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...other, as the remaining side of this other is to the reK maining 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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...the other, as the remaining side of the other is to 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... | |
 | Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...the first to the third, the subtriplicate of the ratio of the first to the fourth, &c. 21. A straight line is said to be cut in extreme and mean ratio, when the one segment is a mean proportional between the other segment and the whole line. To facilitate the... | |
 | John Mason Good - 1813 - 714 pages
...the other, as the remaining side of this other is 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... | |
 | Euclides - 1816 - 588 pages
...as the remaining side of this " oliver is to the remaining side of the first." III. A straight lipe is said to be cut in extreme and mean ratio,, when the whole is to the greater segrnent, as the greater segment js to the less. IV. The altitude of any figure is... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...of the second, as the remaining side of the second is to the remaining side of the first. 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... | |
 | Euclides - 1826 - 226 pages
...a side of the other, as the remaining side of this other is to the remaining 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... | |
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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. 
