Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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plicentur rectæ AZ, BZ, CZ, DZ, ad ipſam VD perpendiculares,
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& </
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<
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xml:space
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">æquales ſingulæ ſingulis in cono circulorum radiis per eaſdem li-
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teras deſignatis; </
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<
s
xml:id
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xml:space
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">fiet autem in hoc caſu _Spatium_ VDZ triangulum,
<
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quia rectæ AZ, BZ, CZ æqualiter à ſe diſtantes æqualiter increſcunt,
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id quod trianguli applicatis omninò proprium eſt. </
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<
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xml:space
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">Hujus autem
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trianguli, ex datis altitudine VD & </
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<
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xml:space
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">baſe DZ, dimenſio in promptu
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eſt. </
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<
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xml:space
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">Quod ſi ſiat _ut circuli radius: </
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<
s
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xml:space
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">Ad circumferentiam ipſius, it à_
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_triangulum VDZ ad quartum_, erit hoc quartum æquale _Superficiei_
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_conicæ propoſitæ._ </
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<
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xml:space
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">Eodem planè modo perquam facilè _Sphæræ
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, sphæri-_
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_carúmque portionum Superficies_ (nec, datis & </
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<
s
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xml:space
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">præcognitis iis quæ
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requiruntur, alias quaſlibet hoc modo natas) inveſtigare licet. </
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<
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xml:space
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mihi propoſitum eſt generalioribus tantùm inhærere. </
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<
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">‖ Hanc autem
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magnitudinum geneſin æmulatur, & </
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<
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xml:space
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">affinitate quâdam contingit iſte
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modus, quum circa rectam lineam, (aut quidem circa quamvis
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aliam) ſimiles innumeræ lineæ, vel figuræ parallelo juxta ſe ſitu
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diſpoſitæ talit
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er conſtituuntur, ut ſingulæ centrum ſuum habeant in
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dicta linea, quæ proinde tanquam axis rationem ſubit, ac talis deno-
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minatur. </
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">c, in _cylindris obliquis_, ínque _conis Scalenis_
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circuli circa lineam quandam rectam conſiſtunt; </
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<
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xml:space
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">quæ proptereà dicitur
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ipſorum _axis_, quoniam in ea circulorum parallelorum _centra_ ex-
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iſtunt. </
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<
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xml:space
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">Sed cùm motus ità diſtortos natura non capiat (ſaltem juxta
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modum operandi ſimplicem quem nunc ſupponimus) & </
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<
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xml:space
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">quia poſſunt
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hujuſmodi magnitudines ut modis aliis genitæ faciliùs concipi, de iis
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abſtinebimus. </
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effectione ſufficiet hactenus diſſeruiſſe.</
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