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The construction of the wonderful canon of logarithms

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44 Construction <strong>of</strong> <strong>the</strong> Canon.<br />

three columns, "89 degrees". On <strong>the</strong> second<br />

page, above, to <strong>the</strong> left, " 1 degree" ; and below,<br />

to <strong>the</strong> right, "88 degrees". On <strong>the</strong> third page,<br />

above, "2 degrees"; and below, "87 degrees".<br />

Proceed thus with <strong>the</strong> o<strong>the</strong>r pages, so that <strong>the</strong><br />

number written above, added to that written<br />

below, may always make up a quadrant, less i<br />

degree or 89 degrees.<br />

<strong>The</strong>n, on each page write, at <strong>the</strong> head <strong>of</strong> <strong>the</strong><br />

first column, "Minutes <strong>of</strong><strong>the</strong> degree written above"<br />

at <strong>the</strong> head <strong>of</strong> <strong>the</strong> second column, "Sines <strong>of</strong> <strong>the</strong><br />

arcs to <strong>the</strong> left "; at <strong>the</strong> head <strong>of</strong> <strong>the</strong> third column,<br />

''Logarithms <strong>of</strong> <strong>the</strong> arcs to <strong>the</strong> left"; at both <strong>the</strong><br />

head and <strong>the</strong> foot <strong>of</strong> <strong>the</strong> third column, "Difference<br />

between <strong>the</strong> <strong>logarithms</strong> <strong>of</strong> <strong>the</strong> complementary arcs ";<br />

at <strong>the</strong> foot <strong>of</strong> <strong>the</strong> fifth column, "Logarithms <strong>of</strong> <strong>the</strong><br />

arcs to <strong>the</strong> right "; at <strong>the</strong> foot <strong>of</strong> <strong>the</strong> sixth column,<br />

"Sines <strong>of</strong> <strong>the</strong> arcs to <strong>the</strong> right"; and at <strong>the</strong> foot<br />

<strong>of</strong> <strong>the</strong> seventh column, " Minutes <strong>of</strong> <strong>the</strong> degree<br />

written beneath".<br />

<strong>The</strong>n enter in <strong>the</strong> first column <strong>the</strong> numbers <strong>of</strong><br />

minutes in ascending order from o to 60, and in<br />

<strong>the</strong> seventh column <strong>the</strong> number <strong>of</strong> minutes in<br />

descending order from 60 to o ; so that any pair<br />

<strong>of</strong> minutes placed opposite, in <strong>the</strong> first and seventh<br />

columns in <strong>the</strong> same line, may make up a whole<br />

degree or 60 minutes ; for example, enter o opposite<br />

to 60, I to 59, 2 to 58, and 3 to 57, placing<br />

three numbers in each <strong>of</strong> <strong>the</strong> twenty intervals<br />

between <strong>the</strong> horizontal lines. In <strong>the</strong> second<br />

column enter <strong>the</strong> values <strong>of</strong> <strong>the</strong> sines corresponding<br />

to <strong>the</strong> degree at <strong>the</strong> top and <strong>the</strong> minutes in <strong>the</strong><br />

same line to <strong>the</strong> left; also in <strong>the</strong> sixth column<br />

enter <strong>the</strong> values <strong>of</strong> <strong>the</strong> sines corresponding to <strong>the</strong><br />

degree

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