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

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1valde diſtans, & obſeruetur pariter angulus
CAB. Diſtantia autem BA vel ſit præcogni
ta, vel ex tertio loco obſeruetur, vt fieri com
muniter ſolet. Demum ex B obſeruetur an
gulus ABC; cognitâ ſcilicet diſtantiâ ipſius
A puncti à vertice obſeruatoris in B, com
plementum ad duos rectos dat angulum
ABC: erit autem indicium diſtantiæ AB
ſufficientis, ſi anguli CAB, CBA ſimul ſum
pti minores fuerint duobus rectis. Quare in
triangulo ABC dato latere BA & angulis
adiacentibus inuenitur latus AC. Inuento
autem latere AC & obſeruato angulo CAD
in triangulo CDA rectangulo, inuenitur CD
quæſita terræ ſemidiameter, nec latebit
montis altitudo.

L.
Septima me
thodus in
uestigandi
ſemidiame
trum terræ,
& montis
altitudine.

Quod ſi locorum opportunitas ferat, vt
detur altitudo FE nota, ex qua obſeruari

queat angulus CED, & in monte procul poſi
to liber ſit aſcenſus, donec ex A puncto per
E in extremum horizontem D productus ra
dius efficiat angulum CAD, qui obſeruatio
ne cognoſcatur; ea habemus, quæ ad inue
niendam terræ ſemidiametrum, vel ad exa
minandamiam inuentam ſufficiant. Intel
ligatur enim ex F exire recta FG parallela ipſi
CA (perpendiculares ſiquidem EC, AG á
paralleliſmo deflectere ponimus) efformatur

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