881441
[Translation: Book XIII, Proposition ]
Apot. 5a.
[Translation: A fifth apotome, for ]
cuius quadratum […] Apot 1a
[Translation: whose square is a first ]
ergo etiam […] decagoni latus
[Translation: therefore also the side of a decagon
[Commentary:
This page and the next explore sides of polygons inscribed in circles.
Harriot refers to Euclid, Propositions.
If an equilateral triangle is inscribed in a circle, then the square on the side of the triangle is triple the square on the radius of the circle.
If the side of the hexagon and that of the decagon inscribed in the same circle be added together, the whole straight line has been cut in extreme and mean ratio, and its greater segment is the side of the hexagon.
There is also a reference to Euclid, .
If two magnitudes be commensurable, and one of them be incommensurable with some magnitude, the remaning one will also be incommensuarble with the same. ]
If an equilateral triangle is inscribed in a circle, then the square on the side of the triangle is triple the square on the radius of the circle.
If the side of the hexagon and that of the decagon inscribed in the same circle be added together, the whole straight line has been cut in extreme and mean ratio, and its greater segment is the side of the hexagon.
There is also a reference to Euclid, .
If two magnitudes be commensurable, and one of them be incommensurable with some magnitude, the remaning one will also be incommensuarble with the same. ]
De lateribus polygonon in
[Translation: On the sides of polygons in ]
[Translation: On the sides of polygons in ]
Euclid.lib.13.pr.12
Euclid Book XIII, Proposition 12.
[…]
latus
[Translation: The side of a ]
[…]
latus
[Translation: The side of a ]
[Translation: Book XIII, Proposition ]
Apot. 5a.
[Translation: A fifth apotome, for ]
cuius quadratum […] Apot 1a
[Translation: whose square is a first ]
ergo etiam […] decagoni latus
[Translation: therefore also the side of a decagon
lateri
[Translation: sides of ]
[Translation: sides of ]
sint , et , lateri pentagoni
ergo: latus
[Translation: let and be sides of a pentagon, therefore is the side of a pentagon
ut supra latus
[Translation: as above for the side of a ]
[…]
Minor. Latus
[Translation: Lesser. Side of a ]
ergo: latus
[Translation: let and be sides of a pentagon, therefore is the side of a pentagon
ut supra latus
[Translation: as above for the side of a ]
[…]
Minor. Latus
[Translation: Lesser. Side of a ]
per
[Translation: by Proposition X.13 of ]
lateris
[Translation: side of a ]
Lateri pentagoni.
[Translation: Side of a pentagon; ]
[Translation: by Proposition X.13 of ]
lateris
[Translation: side of a ]
Lateri pentagoni.
[Translation: Side of a pentagon; ]
verte paginam pro
ambitiosa
[Translation: turn the page for the complicated ]
ambitiosa
[Translation: turn the page for the complicated ]