 | Euclides - 1848 - 52 páginas
...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 the straight line drawn from its vertex perpendicular to the base.... | |
 | Royal Military Academy, Woolwich - 1853 - 400 páginas
...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 base.... | |
 | Euclides - 1853 - 176 páginas
...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.... | |
 | William Somerville Orr - 1854 - 534 páginas
...remaining side of the first. m. 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. rv. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base,... | |
 | Euclides - 1855 - 270 páginas
...one 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. A straight line is said to be cut in harmonica! ratio, when the whole is to one of the extreme segments... | |
 | John Playfair - 1855 - 334 páginas
...side of the first. 3. A straight line is said to be cut in extreme and mean ratio, when the whole ie to the greater segment, as the greater segment is to the less. 4. The altttude of a triangle is the straight line drawn from its vertex perpendicular to the base.... | |
 | Euclides - 1858 - 248 páginas
...line AB. (29. VI.) PEOB. 10. To cut a given straight line, AB, in extreme and mean ratio, ie, so that the whole line is to the greater segment as the greater segment to the less. On AB, by 46. I. , describe the square BC ; and, by 29. VI. , apply to AC the parallelogram... | |
 | Robert Potts - 1860 - 380 páginas
...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 - 1861 - 464 páginas
...proportion is direct. 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 ; thus in the line AB and its parts, » с AB:AC = AC:CB. For EUCLID'S definition, LARDWER substitutes,... | |
 | Euclides - 1864 - 448 páginas
...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.... | |
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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. 
