492247
[Translation: ]
[Translation: ]
A progression increasing being given, next first progresionall first differences
are unæquall, & the secondnext after differences æquall: to devide the sayde
progression into a fewer nomber of progresionall
The first case. as of the progresionall differences decreasing,
as it is in the progression of
are unæquall, & the secondnext after differences æquall: to devide the sayde
progression into a fewer nomber of progresionall
The first case. as of the progresionall differences decreasing,
as it is in the progression of
Example of the progresion given
This example I have
so set downe as though the
nombers were answerable
to
[Commentary: 'Arkes' are arcs of a fixed circle, that is, measures of angle. Each sine (or number) corresponds to, or is 'answerable to', an arc (or angle). (Hence the modern terminology ] That by it you may
se the use of the problem
for
so set downe as though the
nombers were answerable
to
[Commentary: 'Arkes' are arcs of a fixed circle, that is, measures of angle. Each sine (or number) corresponds to, or is 'answerable to', an arc (or angle). (Hence the modern terminology ] That by it you may
se the use of the problem
for
Suppose that it be required to find the nomber answerable to
The number answerable to 30'' is 2280. that which is answerable
to 40'' is 2925. there difference is And because the other
differences of the same order ranke are unæquall, the rule of pro-
portion will not find the number desired. But it must be
found by a speciall Canon. which followeth The purpose
of which canon thereof must for to find (because 30''& 40'' do differ
[by] 10''.) to find the first tenth parte progresionall, that is to say that
The number answerable to 30'' is 2280. that which is answerable
to 40'' is 2925. there difference is And because the other
differences of the same order ranke are unæquall, the rule of pro-
portion will not find the number desired. But it must be
found by a speciall Canon. which followeth The purpose
of which canon thereof must for to find (because 30''& 40'' do differ
[by] 10''.) to find the first tenth parte progresionall, that is to say that