 | Andrew Bell - 1837 - 290 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1841 - 378 σελίδες
...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 - 1842 - 332 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1845 - 218 σελίδες
...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 σελίδες
...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 σελίδες
...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. 
