Baliani, Giovanni Battista, De motu naturali gravium solidorum, 1638
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              <s id="s.000190">PROPOSITIO XV.
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                <s id="s.000191">Linea connectens puncta, ad quae duo gravia ab eo-
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                dem puncto digressa, quorum alterum perpenden-
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                ter, alterum super plano declinante descendat, simul
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                perveniunt, est perpendicularis dicto plano declinanti.
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              <s id="s.000192">Descendant simul duo gravia a puncto A primum per-
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              pendiculariter in B, secundum super plano inclinato
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              AC, tali lege, ut simul perveniant ad puncta BD,
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              & ducta sit linea BD.
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              <s id="s.000193">Dico quod dicta linea BD est perpendicularis ad AD.
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              <s id="s.000194">Fiat AF aequalis datae AB, & AE aequalis AD, & duca-
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              tur EF.
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              <s id="s.000195">Quoniam ut AD ad AB, ita AB ad AC
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              , & AD,
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              AE, item AB, AF sunt aequales per constructionem, se-
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              quitur quod AE ad AF est ut AB ad AC, ergo EF, BC
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              sunt parallelae
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              , unde triangulum AEF, & proin-
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              de ABD est simile triangulo ABC
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              , unde anguli AB
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              C, ADB simul recti, & BD perpendicularis ad AD.
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              <s id="s.000196">Quod, &c.
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              Per 13.
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              hujus.
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              Per 2.
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              Sexti.
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              Per 4.
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              Sexti.
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