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.
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.
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
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