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The construction of the wonderful canon of logarithms

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34 Construction <strong>of</strong> <strong>the</strong> Canon,<br />

<strong>the</strong> <strong>logarithms</strong> <strong>of</strong> <strong>the</strong> same<br />

pute, at one time, all<br />

rank, namely all <strong>the</strong> second <strong>logarithms</strong> in each <strong>of</strong><br />

<strong>the</strong> columns, <strong>the</strong>n all <strong>the</strong> third, <strong>the</strong>n <strong>the</strong> fourth,<br />

and so <strong>the</strong> o<strong>the</strong>rs, by continuously adding 100503.<br />

3210291 to <strong>the</strong> logarithm in one column, that <strong>the</strong><br />

logarithm <strong>of</strong> <strong>the</strong> same rank in <strong>the</strong> next column be<br />

brought out. For by ei<strong>the</strong>r method may be had<br />

<strong>the</strong> <strong>logarithms</strong> <strong>of</strong> all <strong>the</strong> proportionals in this<br />

table; <strong>the</strong> last <strong>of</strong> which is 6934250.8007528, corresponding<br />

to <strong>the</strong> sine 4998609.4034.<br />

47. In <strong>the</strong> Third table, beside <strong>the</strong> natural numbers, are to<br />

be written <strong>the</strong>ir <strong>logarithms</strong>; so that <strong>the</strong> Third table,<br />

which after this we shall always call <strong>the</strong> Radical table,<br />

may be made complete andperfect.<br />

This writing up <strong>of</strong> <strong>the</strong> table is to be done by<br />

arranging <strong>the</strong> columns in <strong>the</strong> number and order<br />

described (in 20 and 21), and by dividing each<br />

into two sections, <strong>the</strong> first <strong>of</strong> which should contain<br />

<strong>the</strong> geometrical proportionals we call sines and<br />

natural numbers, <strong>the</strong> second <strong>the</strong>ir <strong>logarithms</strong> progressing<br />

arithmetically by equal intervals.<br />

<strong>The</strong> Radical Table.<br />

First column.<br />

Second column.

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