Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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valde diſtans, & obſeruetur pariter angulus
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CAB. </
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<
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>Diſtantia autem BA vel ſit præcogni
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ta, vel ex tertio loco obſeruetur, vt fieri com
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muniter ſolet. </
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<
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>Demum ex B obſeruetur an
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gulus ABC; cognitâ ſcilicet diſtantiâ ipſius
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A puncti à vertice obſeruatoris in B, com
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plementum ad duos rectos dat angulum
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ABC: erit autem indicium diſtantiæ AB
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ſufficientis, ſi anguli CAB, CBA ſimul ſum
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pti minores fuerint duobus rectis. </
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<
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>Quare in
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triangulo ABC dato latere BA & angulis
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adiacentibus inuenitur latus AC. </
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<
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>Inuento
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autem latere AC & obſeruato angulo CAD
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in triangulo CDA rectangulo, inuenitur CD
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quæſita terræ ſemidiameter, nec latebit
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montis altitudo. </
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L. </
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Septima me
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thodus in
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uestigandi
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ſemidiame
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trum terræ,
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& montis
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altitudine.
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<
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>Quod ſi locorum opportunitas ferat, vt
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detur altitudo FE nota, ex qua obſeruari
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queat angulus CED, & in monte procul poſi
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to liber ſit aſcenſus, donec ex A puncto per
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E in extremum horizontem D productus ra
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dius efficiat angulum CAD, qui obſeruatio
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ne cognoſcatur; ea habemus, quæ ad inue
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niendam terræ ſemidiametrum, vel ad exa
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minandamiam inuentam ſufficiant. </
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<
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>Intel
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ligatur enim ex F exire recta FG parallela ipſi
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CA (perpendiculares ſiquidem EC, AG á
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paralleliſmo deflectere ponimus) efformatur </
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