245123
[Translation: turn ]
[Commentary: The working is continued on the reverse of the folio, Add MS f. .
[Commentary:
The references on this page are to Commandino's edition of Mathematicae collectiones
(Pappus , Book 7, Proposition 122, page 235, and to Giambattista Benedetti, Diversarum speculationum mathematicarum et physicarum liber
(Benedetti 1585, . Proposition 122 from Pappus is as follows.
Theorema CXI. Propositio CXXII.
Sit triangulum , & ducatur quædam recta linea , quem ipsam bisariam secet. Dico quadrata ex quadratorum ex dupla esse.
Let there be a triangle and there is drawn a straight line , which bisects . I say that the squares of and are twice the squares of and . Harriot's triangles are lettered with the point bisecting .
The working is continued on the reverse of the folio, Add MS f. . ]
Theorema CXI. Propositio CXXII.
Sit triangulum , & ducatur quædam recta linea , quem ipsam bisariam secet. Dico quadrata ex quadratorum ex dupla esse.
Let there be a triangle and there is drawn a straight line , which bisects . I say that the squares of and are twice the squares of and . Harriot's triangles are lettered with the point bisecting .
The working is continued on the reverse of the folio, Add MS f. . ]
sit triangulum
[Translation: let there be a triangle
dico
[Translation: I say ]
[Translation: let there be a triangle
dico
[Translation: I say ]
sit perpendicularis ad,
[Translation: let be perpendicular to
[Translation: let be perpendicular to
Unde
[Translation: whence it ]
[Translation: whence it ]
Vide, Pappum. lib. 7. prop: 122. pag. 235.
et: Jo: Baptistum Benedictum pag.
[Translation: See Pappus, Book 7, Proposition 122, page 235; and Johan Baptista Benedictus, page ]
et: Jo: Baptistum Benedictum pag.
[Translation: See Pappus, Book 7, Proposition 122, page 235; and Johan Baptista Benedictus, page ]
[Translation: turn ]
[Commentary: The working is continued on the reverse of the folio, Add MS f. .