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nydus/On Growth and FormPublic
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Table of Contents

CHAPTER XI THE LOGARITHMIC SPIRAL

Accordingly, the ratio of l, the total length, to r, the radius vector up to which the total length is to be measured, is expressed by a simple table of secants; as follows:

öÝlã€₤いã€₤r
5ô¯ô 〇〇〈1ôñ004
10〈ô 〇〇〈1ôñ015
20〈ô 〇〇〈1ôñ064
30〈ô 〇〇〈1ôñ165
40〈ô 〇〇〈1ôñ305
50〈ô 〇〇〈1ôñ56〇
60〈ô 〇〇〈2ôñ0〇〇
70〈ô 〇〇〈2ôñ9〇〇
75〈ô 〇〇〈3ôñ9〇〇
80〈ô 〇〇〈5ôñ8〇〇
85〈ô 〇〇〈11ôñ5〇〇
86〈ô 〇〇〈14ôñ3〇〇
87〈ô 〇〇〈19ôñ1〇〇
88〈ô 〇〇〈28ôñ7〇〇
89〈ô 〇〇〈57ôñ3〇〇
89ô¯ô 10ÿ£¢ã€ý68ôñ8〇〇
〇ô 〇〈2085ôñ9〇〇
〇ô 〇〈30114ôñ6〇〇
〇ô 〇〈40171ôñ9〇〇
〇ô 〇〈50343ôñ8〇〇
〇ô 〇〈55687ôñ5〇〇
〇ô 〇〈593437ôñ7〇〇
90〈ô 〇〇〈Infinite

Putting the same table inversely, so as to shew the total {552} length in whole numbers, in terms of the radius,

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