369185
[Commentary:
On this page Harriot gives a statement and diagram for Proposition 24 from Supplementum geometriæ
(Viète 1593c, Prop .
Proposition XXIV.
In dato circulo heptagonum æquilaterum & æquiangulum
To describe a regular heptagon in a given
There are two references to equations found in connection with Proposition 19 of the Supplementum; these are to be found on Add MS 6785 f. . ]
Proposition XXIV.
In dato circulo heptagonum æquilaterum & æquiangulum
To describe a regular heptagon in a given
There are two references to equations found in connection with Proposition 19 of the Supplementum; these are to be found on Add MS 6785 f. . ]
Explicatio aeqationum quae habentur post 24 propositionem
[Translation: An explanation of the equation to be found after Proposition 19 in the ]
[Translation: An explanation of the equation to be found after Proposition 19 in the ]
Sit triangulum æquicrurum
cuius angulus ad verticem
sesquialter est utriusque angulorum
ad basim. oportet invenire
basis quantitatem in
[Translation: Let be an isosceles triangle with vertical angle , which is one and a half times either angle at the base.
There must be found , the length of the base, in numbers.
cuius angulus ad verticem
sesquialter est utriusque angulorum
ad basim. oportet invenire
basis quantitatem in
[Translation: Let be an isosceles triangle with vertical angle , which is one and a half times either angle at the base.
There must be found , the length of the base, in numbers.
In 19a propositione, secundum illatum ita est:
sit ergo pro basi , nota . et pro cruro cui æquatur .
nota . et forma æquationis ita erit.
Aliter per reductionem.
In eadem 19a propositione demonstratur ista Analogia:
Notatur igitur loco vel , litera . Et pro , et contra.
et analogia ita erit:
Ergo resoluta analogia æquatio ita
[Translation: In Proposition 19, the second result is:
therfore let be the base, denoted by , and the side, which is equal to , denoted by .
And the form of the equation will be:
Otherwise, by reduction:
In the same Proposition 19, there is demonstrated this ratio:
Therefore there may be put the letter in place of or . And for , and conversely.
And the ratio will be:
Therfore, having resolved the ratio, the equation will ]
sit ergo pro basi , nota . et pro cruro cui æquatur .
nota . et forma æquationis ita erit.
Aliter per reductionem.
In eadem 19a propositione demonstratur ista Analogia:
Notatur igitur loco vel , litera . Et pro , et contra.
et analogia ita erit:
Ergo resoluta analogia æquatio ita
[Translation: In Proposition 19, the second result is:
therfore let be the base, denoted by , and the side, which is equal to , denoted by .
And the form of the equation will be:
Otherwise, by reduction:
In the same Proposition 19, there is demonstrated this ratio:
Therefore there may be put the letter in place of or . And for , and conversely.
And the ratio will be:
Therfore, having resolved the ratio, the equation will ]