Pagina:Nicolai Copernici torinensis De revolutionibus orbium coelestium.djvu/395

gitudine taliũ 51o2.ſed angulus obliqtatis D F G,inuēfus eſt pt.III.ſcru.xxIx.erit reliquũ latus D G,3o9,qualiū eſt etiā A D,7238. Qualiũ igitur A D fuerit 1oooo,taliū erit D G,427,unde concluditur D A G angulū eſſe part^_♦II^_♦ſcru^_♦XXVII. in ſumma à terra diſtantia^_♦ At iuxta minimã,quoniã qualiū eſt quæ ex cētro orbis B D,7193,taliũ eſt A B,9792,ad quã A D perpendicularis 6644.Et ſimiliter ut A B ad A D,& B D ad D F, datur longitudine D F talium partiũ 4883^_♦Sed angulus D F G poſitus eſt partiũ III^_♦ſcru^_♦XXIX datur ergo D G part^_♦297,qualium eſt etiam ad, 6644.Et idcirco datorum laterum trianguli datur angulus D A G part.II.ſcrup_• XXXIIII^_♦Sed nec III^_♦ſcrup^_♦nec IIII^_♦ſcrup.tanti ſunt,quæ inſtrumentorū Aſtrolabicorũ artificio caperẽtur,bene ergo ſe habet, quæ putabatur maxima latitudo deflexionis in ſtella Veneris^_♦ Aſſumatur itidẽ maxima diſtãtia orbis Mercurἤ,hoc eſt A B ad B D,ratio quæ 1o948 ad 3573,ut per ſimiles prioribus demõſtratiões colligamus,A D quidẽ part.9452,D F aūt 3o85^_♦ Sed hic qq D F G,angulū obliquatiõis proditū habemus part^_♦VII^_♦Recta uero D G ppterea taliũ 376, qualiũ eſt D F 3o85 ſiue D A, 9452^_♦ Igit̆ & in triangulo D A G rectangulo datorũ laterũ,habebimus angulum D A G,part^_♦ II^_♦ſcru^_♦XVII.pxime,maximæ digreſsiois in latitudinẽ^_♦In minima uero diſtãtia A B ad B D ratio ponit̆ 9o52 ad 3573^_♦ea ,ppter A Dpt^_♦eſt earundẽ 8317,D F aũt 3283.Cũ autẽ ob eande obliquatioẽ ponit̆ D F ad D G ratio, q 3283 ad 400^_♦ qliū eſt etiã A D pt.8317,unde etiã angulus ſub D A G, ptiũ eſt 11^_♦ ſcru XLV.Differt igit̆ ab ea quę ſecūdū mediã rationẽ latitudinis digrefsiõe,hic qq part.II^_♦s^_♦aſſumpta,quę in apogęo,ad minimũ ſcru.xIII.quæ uero in perigęo ad maximũ ſcru^_♦xv^_♦p qbus in calculatiõe iuxta mediã rationē unius ptis q drantẽ,ſecundũ ſen ſum ab obſeruatis nõ differẽte hinc inde utemur^_♦ His ita demõſtratis atq etiã,q eãdẽ habeãt rationẽ maximæ lõgitudinis ,pſthaphæreſes ad maximũ latitudinis tranſitu,& in reliqs orbis ſectiõibus, pſthaphęreſeon partes ad ſingulos latitudinis trãſitus omnes nobis ad manus ueniẽt latitudinũ numeri,quæ p obliquitatem orbis contingunt Veneris & Mercurἤ^_♦Sed eæ dũtaxat q medio modo inter apogęũ & perigęũ,ut diximus,colligũtur,qrũ oſteſa eſt maxima latitudo part^_♦II^_♦s^_♦Proſthaphæreſis