 On this peculiar arithmetical property .... depends the geometrical one, of the spiral arrangement, which it represents ; namely, that such an arrangement would effect the most thorough and rapid distribution of the leaves around the stem, each new or...  Structural botany - Page 127by Asa Gray - 1879Full view - About this book
 | Julius Sachs - Botany - 1875 - 880 pages
...between the two older ones which are nearest in direction, so as to divide it in the same ratio, K, in which the first two or any two successive ones divide the circumference. Now * and all successive fractions differ inappreciably from K.' Practically, therefore, all terms... | |
 | Asa Gray - Botany - 1879 - 474 pages
...the spiral arrangement, which it represents ; namely, that such an arrangement would effect the mort thorough and rapid distribution of the leaves around...other ; and, as I have said, we have no evidence, and conld have none, that this arrangement actually exists in nature. To realize rimply and purely the... | |
 | Asa Gray - Botany - 1879 - 576 pages
...new or higher leaf falling over the angular space between the two older ones which are nearest ¡n direction, so as to subdivide it in the same ratio...arrangement actually exists in nature. To realize .••imply and purely the property of the most thorough distribution, the most complete exposure... | |
 | Asa Gray - Plant anatomy - 1880 - 468 pages
...find, the typical irrational interval differs from that of the fraction f by almost exactly ysVir. a quantity much less than can be observed in the actual...the property of the most thorough distribution, the moat complete exposure of light and air around the stem, and the most ample elbow-room, or space for... | |
 | Julius Sachs - Botany - 1882 - 1004 pages
...between the two older ones which are nearest in direction, so as to divide it in the same ratio, K, in which the first two or any two successive ones divide the circumference. Now A and all successive fractions differ inappreciably from K.' Practically, therefore, all terms... | |
 | Julius Sachs - Botany - 1882 - 1010 pages
...between the two older ones which are nearest in direction, so as to divide it in the same ratio, K, in which the first two or any two successive ones divide the circumference. Now jj and all successive fractions differ inappreciably from K.' Practically, therefore, all terms... | |
 | Julius Sachs - Botany - 1882 - 1000 pages
...between the two older ones which are nearest in direction, so as to divide it in the same ratio, K, in which the first two or any two successive ones divide the circumference. Now f and all successive fractions differ inappreciably from K. 1 Practically, therefore, all terms... | |
 | D'Arcy Wentworth Thompson - Biology - 1917 - 826 pages
...between the two older ones which are nearest in direction, so as to divide it in the same ratio (K), in which the first two or any two successive ones divide the circumference. Now 5/8 and all successive fractions differ inappreciably from A'." To this view there are many simple... | |
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