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[Commentary:
On this page Harriot examines Proposition VII from Supplementum geometriæ
(Viète 1593c, Prop .
Propositio VII.
Data è tribus propositis lineis rectis proportionalibus & ea cujus quadratum æquale fit ei quo differt quadratum compositae ex secunda & tertia à quadrato compositæ ex secunda & prima, invenire secundam & tertiam
Given the first of three proposed proportional straight lines, and another whose square is equal to the difference between the square of the sum of the second and third, and the square of the sum of the second and first, find the second and third ]
Propositio VII.
Data è tribus propositis lineis rectis proportionalibus & ea cujus quadratum æquale fit ei quo differt quadratum compositae ex secunda & tertia à quadrato compositæ ex secunda & prima, invenire secundam & tertiam
Given the first of three proposed proportional straight lines, and another whose square is equal to the difference between the square of the sum of the second and third, and the square of the sum of the second and first, find the second and third ]
prop. 7.
[Translation: Proposition 7 of the ]
[Translation: Proposition 7 of the ]
Data e tribus propositis lineis rectis proportionalibus prima et ea
cujus quadratum aequale fit ei quo differt quadratum compositae ex
secunda et tertia a quadrato compositæ ex secunda et prima: invenire
secundam et tertiam
[Translation: Given the first of three proposed proportional straight lines, and another whose square is equal to the difference between the square of the sum of the second and third, and the square of the sum of the second and first, find the second and third ]
cujus quadratum aequale fit ei quo differt quadratum compositae ex
secunda et tertia a quadrato compositæ ex secunda et prima: invenire
secundam et tertiam
[Translation: Given the first of three proposed proportional straight lines, and another whose square is equal to the difference between the square of the sum of the second and third, and the square of the sum of the second and first, find the second and third ]
Data prima
Et recta
[Translation: The first given line and the straight line .
Et recta
[Translation: The first given line and the straight line .
Tum tres proportionales
[Translation: Then the three proportionals will ]
[Translation: Then the three proportionals will ]