Cataneo, Girolamo - Hier. Cataneus de arte bellica, sive, de designandis ac construendis arcibus & propugnaculis, necnon & de iis oppugnandis, expugnandis ac propugnandis : de itinere exercitus, ac castrametatione, quando expediat manus cum hoste conserere

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3022

SEPTIMA OPERATIO.

Indagare mediam proportionalem in-
ter duas lineas.

Verbi gratia, deſidero mediam proportionalem in-
ter lineam E -- F, & F -- G, jun-
gam eas in directum, faciamq́; ex eis vnicam lineam,
quæ erit E -- F -- G, æ quipollens
ſcilicet E F & F G. Diuidemus deinde integram lineam
EG in duas partes æ quales in puncto O, vt hîc apparet,
E -- F -- O -- G, figemusq́; pedem im-
mobilem circini in puncto O, alterum extendendo ad
alterutram extremitatum E vel G, ſemicirculumq́; de-
ſcribemus: deinde à puncto F erigemus perpendicu-
larem, vt in ſecunda operatione factum eſt, quæ erit
linea FH, quam dico mediam eſſe proportionalem in-
ter duas lineas EF, & FG, vt docet nona ſexti Eucli-
dis.

33[Figure 33]

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