Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657
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              Propoſitio VIII. Problema I.
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              Data tubi altitudine, & ſupra horizontem elevatione,
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              invenire longitudinem ſalientis horizontalis,
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              & mediæ.
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              <s>SIt altitudo tubi alta pedes 9, cuius os ſit
                <expan abbr="elevatũ">elevatum</expan>
              ſupra horizon­</s>
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              tem pedes quinque, & ſitinvenienda longitudo ſalientis hori­
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              zontalis, aut mediæ, huius tubi. </s>
              <s>Fieri hoc poteſt duplici viâ. </s>
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              Primò per obſervationem ſic. </s>
              <s>Applica orificio tubi epiſtomi­
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              um, aut tubulum horizontaliter, aut medio modo, prout opus
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              fuerit, & nota ſalientis punctum pavimento impreſſum, iuxta
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              dicta Propoſit. 1. huius Capitis Annotat. II. </s>
              <s>Secundò per
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              calculum ſic. </s>
              <s>Quoniam, per Propoſitionem I. hujus Capitis,
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              ſalientium horizontalium & mediarum, ſuper eodem horizonte
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              longitudines, ſuntin ratione ſubduplicata tuborum; & per di­
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              cta Propoſit. 11. huius eiuſdem Capitis, tubus pedalis pedes quin­
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              que ſupra horizontem elevatus habet ſalientem longam pedes
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              quatuor; ſi inveniatur media proportionalis inter 1 & 9, nempe
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              3, erit hæc longitudo quæſita. </s>
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              Salientis ho­
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              rizontalis
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              longitudi­
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              nem inve­
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              nire, data
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              tubi altitu­
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              dine.
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              Propoſitio IX. Problema II.
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              Data longitudine ſalientis horizontalis, aut mediæ,
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              invenire altitudinem tubi, cognitâ eius elevatione ſu­
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              pra horizontem.
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              </s>
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              <s>SIt data longitudo ſalientis horizontalis, aut mediæ, pedum
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              octo, ſit que tubus ipſius elevatus ſupra horizontem pedes
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              quinque, & in venienda ſit altitudo talis tubi. </s>
              <s>Quoniam, per
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              Poriſma Propoſit. 1. huius Capitis, altitudines tuborum habent
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              duplicatam rationem eius, quam habent longitudines ſalienti­
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              um horizontalium, & mediarum; & quoniam ſaliens horizon­
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              talis tubi unius pedis, elevati ſupra horizontem quinque pedi­
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              bus, eſt pedum quatuor; ſi rationem prædictarum ſalientium,
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              nempe 8 ad 4, duplices, ſeu bis ſumas ſic: 16, 8, 4; erit tertius
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              numerus 16, altitudo tubi quæſita, hic enim numerus 16
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              ad 4, habet duplicatam rationem eius quam
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              habet 8 ad 4. </s>
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