 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...other, as the " remaining side of this other 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 any figure is the... | |
 | Euclides - 1853 - 334 pàgines
...as the other about this angle is to the other about the angle in the first figure. III. A straight line is said to be cut in extreme and mean ratio, when it is divided into two parts such, that the whole line is to the greater part as the greater part is... | |
 | William Somerville Orr - 1854 - 534 pàgines
...the second as the remaining side of the second is to the 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... | |
 | Euclides - 1855 - 270 pàgines
...pair, as the remaining опе of the second pair is to the remaining 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... | |
 | Euclides - 1858 - 248 pàgines
...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 pàgines
...the other, as the remaining side of the 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 - 1861 - 464 pàgines
...extreme and the other a mean: thus, if AB : BF = CD : EF, the 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,... | |
 | Euclides - 1863 - 122 pàgines
...second, as the remaining side of the second is to the remaining side of the firbt. III. A straight line is said to be cut in extreme and mean ratio when tho whole is to the greater segnwut as ths greater segment is to tho less. IV. The altitude of any... | |
 | Euclides - 1864 - 448 pàgines
...the other, as the remaining side of the 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 - 1865 - 402 pàgines
...the other, as the remaining side of the other is to the 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. IV. The altitude of any figure is... | |
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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. 
