11960
[Translation: ]
[Commentary:
The reference to Pappus is to Commandino's edition of Books III to Mathematicae collectiones
(Pappus . The proposition on page 41 is Proposition IV.7.
Theorema VII. Propositio VII.
Sit quadrilaterum ABCD, rectum angulus habens ABC, & datam unamquamque rectarum linearum AB BC CD DA. ostendum est rectam lineam, quæ BD puncta coniungit, datam esse.
Let there be a quadrilateral ABCD, having a right angle ABC. Given any one of the lines AB, BC, CD, DA, it is to be shown that the line which joins BD is given.]
Theorema VII. Propositio VII.
Sit quadrilaterum ABCD, rectum angulus habens ABC, & datam unamquamque rectarum linearum AB BC CD DA. ostendum est rectam lineam, quæ BD puncta coniungit, datam esse.
Let there be a quadrilateral ABCD, having a right angle ABC. Given any one of the lines AB, BC, CD, DA, it is to be shown that the line which joins BD is given.]
Lemmata, ad
locum de
[Translation: Lemmas, on the place of ]
locum de
[Translation: Lemmas, on the place of ]
Datis tribus lateribus
trianguli; invenire
diametrum circuli
[Translation: Given three sides of a triangle, find the diameter of the circumscribing ]
trianguli; invenire
diametrum circuli
[Translation: Given three sides of a triangle, find the diameter of the circumscribing ]
[Translation: ]
hinc i.p. Appendiculæ
[Translation: Here see the Appendix of ]
[Translation: Here see the Appendix of ]
Datis lateribus duorum
triangulorum super eandem
basim: verticum distantiam
invenire.
videlicet:
[Translation: Given the sides of two triangles on the same base, to find the vertical distance, namely .
triangulorum super eandem
basim: verticum distantiam
invenire.
videlicet:
[Translation: Given the sides of two triangles on the same base, to find the vertical distance, namely .
Sunt etiam alia in pappo
pag: 41. &
[Translation: There are also more in Pappus, page 41 and what ]
pag: 41. &
[Translation: There are also more in Pappus, page 41 and what ]