Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              perpendicularis; </s>
              <s id="N23910">haud dubiè producit maiorem impetum in O, quàm in
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              LH quippè in D nullo modo grauitat in ſuppoſitam manum, in H mi­
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              nùs grauitat, in O maximè; ſed qua proportione plùs, vel minùs graui­
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              tat, producit maiorem vel minorem impetum, vt patet. </s>
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              Theorema
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              11.
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              Impetus, quem producit in H, eſt ad impetum, quem producit in O, vt HC
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              ad DA vel OA.
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              <s id="N23933"> Probatur, quia grauitatio in H eſt ad grauitationem in
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              O, vt CH ad DA, vt demonſtratum eſt ſuprà lib. de motu in planis in­
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              clinatis; </s>
              <s id="N2393B">ratio eſt, quia in ea proportione maior eſt, vel minor grauita­
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              tio, in qua plùs vel minùs impeditur; </s>
              <s id="N23941">atqui in O non impeditur; </s>
              <s id="N23945">quia li­
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              nea determinationis ad motum eſt eadem cum linea grauitationis; </s>
              <s id="N2394B">quip­
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              pè globus O grauitat per
                <expan abbr="Oq;">Oque</expan>
              ſed OQ eſt Tangens puncti O; </s>
              <s id="N23955">igitur eſt
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              linea determinationis in puncto O; </s>
              <s id="N2395B">igitur linea determinationis in pun­
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              cto O eſt eadem cum linea grauitationis; at verò in H linea grauitatio­
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              nis eſt HG, & determinationis HF diuerſa à priore, ſed de his iam plu­
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              ra aliàs. </s>
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              <s id="N23967">
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              Scholium.
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              <s id="N23975">Obſeruabis globum prædictum in H diuerſimode poſſe ſuſtineri. </s>
              <s id="N23978">Pri­
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              mò, per Tangentem HI. </s>
              <s id="N2397E">Secundò applicata potentia in F per FH. Tertiò,
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              per horizontalem HV tracto ſcilicet fune. </s>
              <s id="N23983">Quartò, per HK. Quintò, per
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              GH. </s>
              <s id="N23988">Sextò denique in aliis punctis intermediis applicari poteſt poten­
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              tia; </s>
              <s id="N2398E">ſi primo modo, & ſecundo potentia ſuſtinens pondus in H eſt ad
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              ſuſtinentem in D ex A vel in O ex Q vt HC ad DA vel HA; </s>
              <s id="N23994">ad ſuſti­
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              nentem verò ex A in H, vt CH ad CA, ſi tertio per HV potentia ap­
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              plicata in V eſt ad applicatam in A, dum vtraque ſimul agat vt HC ad
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              HA; </s>
              <s id="N2399E">ſi quarto modo applicata in K æqualis eſt applicatæ in A, itemque
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              applicata in Y per YH, vel in O per OH, poſita HZ æquali HA; </s>
              <s id="N239A4">ſi
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              quinto modo applicata in G per GHS ſuſtinet totum pondus, itemque
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              applicata in S per SH; ſi denique ſexto modo, pro rata. </s>
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              <s id="N239AE">Obſeruabis ſecundò rem omninò ſcitu digniſſimam, eſſe duas tantùm
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              lineas, quibus applicata potentia totum pondus ſuſtinet, ſcilicet GH, HS,
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              eſſe quoque duas quibus applicata potentia pondus pendulum ſuſtinens
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              in dato puncto puta H, habet minimam rationem, quæ haberi poſſit ad
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              potentiam applicatam in A per AH; ſunt autem illæ CH, HV, quæ eſt
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              ipſa horizontalis. </s>
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              <s id="N239BE">Obſeruabis tertiò, applicatam in puncto C per CH eſſe minimam
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              earum omnium, quæ cum alia applicata in A per HA pendulum pondus
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              ſuſtinere poſſit; </s>
              <s id="N239C6">aliàs verò hinc inde applicatas eſſe maiores, v.g. applica­
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              tam in E per EH eſſe ad applicatam in A per HA, vt EH ad HA; </s>
              <s id="N239CE">appli­
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              catam verò in Z eſſe ad
                <expan abbr="eãdem">eandem</expan>
              vt ZH ad HA; applicatam in T vt
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              TH ad HA, &c. </s>
              <s id="N239DA">ſunt autem 4.æquales exceptis maxima, quæ totum pon­
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              dus ſuſtinet per lineas HS GH, & minimâ, quæ cum applicata in A mi­
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              nimis viribus ſuſtinet, per lineas CH HV; </s>
              <s id="N239E2">ſi verò aſſumantur quæcum­
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              que aliæ lineæ, ſunt 4. æquales v.g. accipiatur EH, ſit HB ipſi æqualis </s>
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