 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 the straight line drawn from its vertex perpendicular to the... | |
 | Euclid - 1835 - 540 pages
...remaining side of the first." III. A straight line is said to be cut in the 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... | |
 | Mathematics - 1836 - 488 pages
...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 the straight line drawn from its vertex perpendicular to the... | |
 | John Playfair - Geometry - 1836 - 148 pages
...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 into any number of equal parts, so that a part of one... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...towards or from the 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... | |
 | Euclides - 1838 - 264 pages
...second to the remaining side 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... | |
 | Euclides - 1840 - 192 pages
...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 the straight line drawn from its vertex perpendicular to its... | |
 | Euclides - Geometry - 1841 - 378 pages
...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 is the straight line drawn from its vertex perpendicular to... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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 the straight line drawn from its vertex perpendicular to the... | |
 | Euclides - 1842 - 316 pages
...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 the straight line drawn from its vertex perpendicular to 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. 
