 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...point of concourse. 4. A straight line is said to he cut in extreme and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. 5. A straight line is said to be harmonically divided, when it is divided into three segments such,... | |
 | Euclides - 1838 - 264 pages
...of the first. III. A straight line is said to be cut in extreme and mean proportion, 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 - 1840 - 192 pages
...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 its base.... | |
 | Euclides - Geometry - 1841 - 378 pages
...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 is the straight line drawn from its vertex perpendicular to the base.... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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 the straight line drawn from its vertex perpendicular to the base.... | |
 | Euclides - 1842 - 316 pages
...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 - 1845 - 546 pages
...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.... | |
 | Euclid - Geometry - 1845 - 218 pages
...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 - 1846 - 272 pages
...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, is a right...described upon a right line, is said to be applied to that line. 5. A parallelogram described upon a part of any right line, is said to be applied to that line... | |
 | Euclides - 1846 - 292 pages
...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 the base.... | |
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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. 
