Diagram
Date
17th century
Creator
Unknown, Artist
Object type
Archive reference number
Manuscript page number
p6
Material
Dimensions
height (page): 305mm
width (page): 189mm
width (page): 189mm
Subject
Description
This document by John Collins (although not in his hand) provides solutions related to 'problemata triangularia', as seen in triangles insisting upon the base of a circle. His solutions are written out as well as demonstrated synthetically.
Transcription
If there be two quantities given and that it hold As the fist to the second, so the summe of both to a fourth, then the summe of the two given is a mean Proportional between the first and the summe of the first, second and fourth.
Or thus, If as the first to the second, so the excess of the second about the first to a fourth, Then the second is a mean proportional between the fist and the summe of the second and fourth.
The Analysis upon the regresse of this is to be examined.
Transcribed by the Making Visible project
Or thus, If as the first to the second, so the excess of the second about the first to a fourth, Then the second is a mean proportional between the fist and the summe of the second and fourth.
The Analysis upon the regresse of this is to be examined.
Transcribed by the Making Visible project
Related fellows
John Collins (1625 - 1683, British) , Mathematician, Mathematician
Associated place