720361
[Commentary:
The inclusion of a page number confirms that Harriot was using Commandino's edition of Apollonii Pergaei conicorum libri quattuor
(Apollonius . Proposition 37 gives a property of a tangent to a hyperbola or ellipse or circle.
I.37 If a straight line touching an hyperbola or ellipse or circumference of a circle meets the diameter, and from the point of contact to the diameter a straight line is dropped as ordinate, then the straight line cut off by the ordinate from the centre of the section with the straight line cut off by the tangent from the centre of the section will contain an area equal to the square on the radius of the section, and with the straight line between the ordinate and the tangent will contain an area having the ratio to the square on the ordinate which the transverse has to the upright.]
I.37 If a straight line touching an hyperbola or ellipse or circumference of a circle meets the diameter, and from the point of contact to the diameter a straight line is dropped as ordinate, then the straight line cut off by the ordinate from the centre of the section with the straight line cut off by the tangent from the centre of the section will contain an area equal to the square on the radius of the section, and with the straight line between the ordinate and the tangent will contain an area having the ratio to the square on the ordinate which the transverse has to the upright.]
lib. 1.
Appol. pag. 27.
prop.
[Translation: Book I, Apollonius, page 27, Proposition ]
Appol. pag. 27.
prop.
[Translation: Book I, Apollonius, page 27, Proposition ]
Dico
[Translation: I say ]
[Translation: I say ]
In
[Translation: In a ]
[Translation: In a ]
In elipsi &
[Translation: In an ellipse and ]
[Translation: In an ellipse and ]
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digilib