1152577
[Commentary:
The proposition on page 37 of Apollonius, as edited by Commandino Conicorum libri quattuor
(Apollonius , is I.52.
I.52. Given a straight line in a plane bounded at one point, to find in the plane the section of a cone called parabola, whose diameter is the given straight line, and whose vertex is the end of the straight line, and where whatever straight line is dropped from the section to the diameter at a given angle, will equal in square the rectangle contained by the straight line cut off by it from the vertex of the section and by some other given straight line.]
I.52. Given a straight line in a plane bounded at one point, to find in the plane the section of a cone called parabola, whose diameter is the given straight line, and whose vertex is the end of the straight line, and where whatever straight line is dropped from the section to the diameter at a given angle, will equal in square the rectangle contained by the straight line cut off by it from the vertex of the section and by some other given straight line.]
In Dato Cono: invenire datam parabolam ad pag: 37.
[Translation: In a given cone, to find a given parabola, as page 37 of ]
[Translation: In a given cone, to find a given parabola, as page 37 of ]
Dato angulo . (Coni)
et linea. . (recta.)
Invenire Isoscelem
ita ut
[Translation: Given angle in the cone and the stright line , find the isosceles triangle such that:
et linea. . (recta.)
Invenire Isoscelem
ita ut
[Translation: Given angle in the cone and the stright line , find the isosceles triangle such that: