 | Euclid - 1826 - 234 pàgines
...a side of the other, as the remaining side of this other is to the 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... | |
 | Robert Simson - 1827 - 546 pàgines
...other, as the " remaining side of this 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... | |
 | Euclid, Dionysius Lardner - 1828 - 542 pàgines
...each to each, and whose sides including equal angles are severally proportional. (514) II. A straight line is said to be cut in extreme and mean ratio when the whole line is to one segment as that segment is to the remaining one. This definition is thus expressed by Euclid :... | |
 | 1836 - 488 pàgines
...the second, as the remaining side of the second 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... | |
 | John Playfair - 1836 - 148 pàgines
...as the remaining one of the second is to the remaining one of the first. II. A straight line maybe 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. III. When two magnitudes can be divided... | |
 | Euclid, James Thomson - 1837 - 410 pàgines
...the second, as the remaining one of the second is to the remaining one of the first. 3. A straight line is said to be cut in extreme and mean ratio, when the whole is to one of the segments, as that segment is to the other. 4. The altitude of any figure is the straight... | |
 | Dionysius Lardner - 1838 - 382 pàgines
...each, and whose sides including equal angles are severally proportional. (514) II. A straight line s said to be cut in extreme and mean ratio when the whole line is to one segment as that segment is to the remaining one. This definition is thus expressed by Euclid :... | |
 | Euclides - 1840 - 192 pàgines
...the second, as the remaining side of the second 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 - 1841 - 378 pàgines
...other, as the " remaining side of this 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 n/ti/>'(]<: of any figure... | |
 | John Playfair - 1842 - 332 pàgines
...the second, as the remaining side of the second 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 a triangle is... | |
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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. 
