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nydus/On Growth and FormPublic
Page 598 of 959
Table of Contents

CHAPTER XI THE LOGARITHMIC SPIRAL

whorls; for the short table given on p. 534 is only applicable to discoid shells, in which the angle ö¡ is an angle of 90ô¯. Our formula, as mentioned on p. 518 now becomes

For this formula I have worked out the following table.

Table shewing values of the spiral angle öÝ corôÙreôÙsponôÙding to certain ratios of breadth of successive whorls of the shell, for various values of the apical semi-angle ö¡.
Ratio R ã€₤いã€₤1ö¡ã€Š=《5ô¯10ô¯15ô¯20ô¯30ô¯40ô¯50ô¯60ô¯70ô¯80ô¯90ô¯
〇〇1ôñ1〇80ô¯ô 〇8ÿ£¢ã€ý85ô¯ô 〇0ÿ£¢ã€ý86ô¯ã€₤44ÿ£¢ã€ý87ô¯ã€₤28ÿ£¢ã€ý88ô¯ã€₤16ÿ£¢ã€ý88ô¯ã€₤39ÿ£¢ã€ý88ô¯ã€₤52ÿ£¢ã€ý89ô¯ô 〇0ÿ£¢ã€ý89ô¯ô 〇4ÿ£¢ã€ý89ô¯ô 〇7ÿ£¢ã€ý89ô¯ô 〇8ÿ£¢ã€ý
〇〇1ôñ2567〈ô 51〈78〈ô 27〈82〈ô 11〈84〈ô 〇5〈85〈ô 56〈86〈ô 50〈87〈ô 21〈87〈ô 39〈87〈ô 50〈87〈ô 56〈87〈ô 58〈
〇〇1ôñ5〇53〈ô 30〈69〈ô 37〈76〈ô 〇0〈79〈ô 21〈82〈ô 39〈84〈ô 16〈85〈ô 13〈85〈ô 44〈86〈ô 〇4〈86〈ô 15〈86〈ô 18〈
〇〇2ôñ0〇38〈ô 20〈57〈ô 35〈66〈ô 55〈73〈ô 11〈77〈ô 34〈80〈ô 16〈81〈ô 52〈82〈ô 45〈83〈ô 18〈83〈ô 37〈83〈ô 42〈
〇〇2ôñ5〇30〈ô 53〈50〈ô 〇0〈60〈ô 35〈67〈ô 〇0〈73〈ô 45〈77〈ô 13〈79〈ô 19〈80〈ô 26〈81〈ô 11〈81〈ô 35〈81〈ô 42〈
〇〇3ôñ0〇26〈ô 32〈44〈ô 50〈56〈ô 〇0〈63〈ô 〇0〈70〈ô 45〈74〈ô 45〈77〈ô 17〈78〈ô 35〈79〈ô 28〈79〈ô 56〈80〈ô 〇5〈
〇〇3ôñ5〇23〈ô 37〈41〈ô 〇5〈52〈ô 25〈59〈ô 50〈68〈ô 15〈72〈ô 45〈75〈ô 35〈77〈ô 〇2〈78〈ô 〇1〈78〈ô 33〈78〈ô 43〈
〇〇4ôñ0〇21〈ô 35〈38〈ô 10〈49〈ô 35〈57〈ô 15〈66〈ô 10〈71〈ô 〇3〈74〈ô 〇9〈75〈ô 42〈76〈ô 47〈77〈ô 22〈77〈ô 34〈
〇〇4ôñ5〇20〈ô 〇0〈36〈ô 〇0〈47〈ô 15〈55〈ô 〇5〈64〈ô 25〈69〈ô 35〈72〈ô 54〈74〈ô 33〈75〈ô 43〈76〈ô 20〈76〈ô 35〈
〇〇5ôñ0〇18〈ô 45〈34〈ô 10〈45〈ô 20〈53〈ô 15〈62〈ô 55〈68〈ô 15〈71〈ô 48〈73〈ô 31〈74〈ô 45〈75〈ô 25〈75〈ô 38〈
〇10ôñ0〇13〈ô 25〈25〈ô 20〈35〈ô 15〈43〈ô 〇5〈53〈ô 45〈60〈ô 20〈64〈ô 57〈67〈ô 〇4〈68〈ô 42〈69〈ô 35〈69〈ô 53〈
〇20ôñ0〇10〈ô 25〈20〈ô 〇0〈28〈ô 30〈35〈ô 45〈46〈ô 25〈53〈ô 25〈58〈ô 52〈61〈ô 10〈63〈ô 〇6〈64〈ô 10〈64〈ô 31〈
〇50ôñ0〇〇8〈ô 〇0〈15〈ô 35〈22〈ô 35〈28〈ô 50〈38〈ô 45〈45〈ô 55〈52〈ô 〇1〈54〈ô 18〈56〈ô 28〈57〈ô 42〈58〈ô 〇6〈
100ôñ0〇〇6〈ô 50〈13〈ô 20〈19〈ô 30〈25〈ô 〇5〈34〈ô 20〈41〈ô 15〈47〈ô 35〈49〈ô 45〈52〈ô 〇3〈53〈ô 20〈53〈ô 46〈

From this table, by interpolation, we may easily fill in the apôÙproxôÙiôÙmate values of öÝ, as soon as we have

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