The construction of the wonderful canon of logarithms
The construction of the wonderful canon of logarithms
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