Casati, Paolo - Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

1que ſemidiametrum latere non poſſe de
monſtro.

Sit enim, exempli gratiâ, nota altitudo
BA Phari Genuenſis (laternam vocant) cum

ſcopulo palmorum Genuenſium 440, hoc
eſt pedum Rom. ant. 480, obſeruatusque
angulus BAD ſit gr. 89. m. 36. ſec. 33. Quo
niam ergo linea AD circulum tangit in D,
angulus CDA eſt rectus. Ex B ducta intel
ligatur BE parallela ipſi CD; eſtque triangu
lum ABE rectangulum ad E, cuius hypo
thenuſa AB, & angulus adiacens innotue
runt. Quare fiat vt Radius 100000. 00000.
ad ſinum gr. 89. m. 36. ſec. 33. hoc eſt 99997.
67348, ita AB ped. 480. ad BE ped. (479
98883.27040/100000.00000). Porrò triangula ABE, ACD æqui
angula ſunt propter linearum BE, CD pa
ralleliſmum, adeoque & ſimilia, ac vt AB
ad BE, ita AC ad CD. Ponatur autem BC
vna Radix Algebricè. Igitur vt AB ped. 480
ad BE ped. (479 98883.27040/10000000000), ita AC ped. 1 ℞ +
480 ad CD ped. (47998883.27040/48000000.00000) ℞ + (479 47463969.79200/48000000.00000).
Eſt autem CD æqualis ipſi CB 1 ℞. Quare
factâ Antitheſi iuxta Algebræ regulas, ma
net æquatio inter hos terminos (111672960/48000000.00000) ℞ &
pedes (479 47463969.79200/48000000.00000). Inſtitutâ denique di
uiſione prodit quotiens ped. 20631193.,

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