 | Euclides - 1842 - 316 pages
...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 - Geometry - 1845 - 218 pages
...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... | |
 | Euclides - 1845 - 546 pages
...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, James Thomson - Geometry - 1845 - 382 pages
...of'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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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... | |
 | Euclides - 1846 - 272 pages
...which have the angles in each respectively equal, and the sides about the equal angles proportional. 2. A right line is said to be cut in extreme and mean ratio, when, as the whole is to the greater segment, so is the greater to the less. 3. The altitude of any figure,... | |
 | Euclides - 1846 - 292 pages
...the other, as the remaining side of this other is to 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... | |
 | Dennis M'Curdy - Geometry - 1846 - 168 pages
...of the figures, and the means to the other; and such figures are equal to one another. 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 to the less. 4. The altitude of any figure is the... | |
 | Euclides - 1848 - 52 pages
...the other, as the remaining side of this other is to the remaining side of the first." HI. 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 - Geometry - 1853 - 176 pages
...the 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... | |
| |
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. 
