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[Commentary:
The inclusion of a page number confirms that Harriot was using Commandino's edition of Apollonii Pergaei conicorum libri quattuor
(Apollonius .
I.41 If in a hyperbola or ellipse or circumference of a circle a straight line is dropped as ordinate to the diameter, and if equiangular parallelograms are described both on the ordinate and on the radius, and if the ordinate side has to the remaining side of the figure the ratio compounded of the ratio of the radius to the remaining side of its figure, and the ratio of the upright side of the section's figure to the transverse, then the figure on the straight line between the centre and the ordinate, similar to the figure on the radius, is in the case of the hyperbola greater than the figure on the ordinate by the figure on the radius, and, in the case of the ellipse and circumference of a circle, together with the figure on the ordinate is equal to the figure on the ]
I.41 If in a hyperbola or ellipse or circumference of a circle a straight line is dropped as ordinate to the diameter, and if equiangular parallelograms are described both on the ordinate and on the radius, and if the ordinate side has to the remaining side of the figure the ratio compounded of the ratio of the radius to the remaining side of its figure, and the ratio of the upright side of the section's figure to the transverse, then the figure on the straight line between the centre and the ordinate, similar to the figure on the radius, is in the case of the hyperbola greater than the figure on the ordinate by the figure on the radius, and, in the case of the ellipse and circumference of a circle, together with the figure on the ordinate is equal to the figure on the ]
pag: 29. b.
Appol. pro:
[Translation: page 29v, Apollonius, Proposition ]
Appol. pro:
[Translation: page 29v, Apollonius, Proposition ]
Sit ordinata
et parallelogramma
et
[Translation: Let be an ordinate, and parallelograms and equiangular.
composita
[Translation: composed ]
et parallelogramma
et
[Translation: Let be an ordinate, and parallelograms and equiangular.
composita
[Translation: composed ]
Dico quod: in
[Translation: I say that, in a ]
In ellipsi et
[Translation: In an ellipse and ]
[Translation: I say that, in a ]
In ellipsi et
[Translation: In an ellipse and ]