Harriot, Thomas, Mss. 6784

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263132
De inclinationibus.
G. Ad determinatam
[Translation: On neusis. G. On determining the ]
Dato puncto. d.
Invenire semicirculum
def:
ut: be=ad
[Translation: Given a point d, find a semicircle def so that be=ad.
Facere duos semicir-
culos, ut sit: ad=bc.
sumatur quodlibet
Δ rectangulum ayg
[…]
semicirculi, abc
et, def
sunt
[Translation: Make two semicircles so that ad=bc.
Taking any right-angled triangle ayg

the semicircles abc and def are those sought.

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