596298
[Commentary:
On this folio Harriot gives rules for finding all the parameters of an arithmetic progression
given any three of them.
The three parameters supposed given are listed in the second column, headed 'data', where Harriot runs systematically through all the combinations , , , and so on.
Rules for finding the two remaining quantities in each case are given in the third column, headed 'quaesita'.
For further details Stedall . ]
The three parameters supposed given are listed in the second column, headed 'data', where Harriot runs systematically through all the combinations , , , and so on.
Rules for finding the two remaining quantities in each case are given in the third column, headed 'quaesita'.
For further details Stedall . ]
Omnes casus arithmeticæ progressionis simplicis
primi
[Translation: All cases of simple arithmetic progressions of the first ]
primi
[Translation: All cases of simple arithmetic progressions of the first ]
casus. data.
[Translation: case. given. ]
[Translation: case. given. ]
. primus
[Translation: first ].
[Translation: last ]. differentia.
[Translation: ]. numeris
[Translation: number of ].
[Translation: ]
[Translation: first ].
[Translation: last ]. differentia.
[Translation: ]. numeris
[Translation: number of ].
[Translation: ]
6 et 9 casus qui
signantur *
soluuntur æquationibus
[Translation: Cases 6 and 9 marked thus * are solved by quadratic ]
signantur *
soluuntur æquationibus
[Translation: Cases 6 and 9 marked thus * are solved by quadratic ]
Ex his terminis
tribus datis, dantur
[Translation: From any three terms given, the rest may be ]
tribus datis, dantur
[Translation: From any three terms given, the rest may be ]
I.
[Translation: I. a ] II. quadratum
[Translation: II. the square of a ] III. cubus
[Translation: III. the cube of a ]
[Translation: I. a ] II. quadratum
[Translation: II. the square of a ] III. cubus
[Translation: III. the cube of a ]