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Thesivm Inavgvralivm Pars Physico-Mathematica Ll "M —— — —— — e —— ÓTRURO a r* — us E m v Phnn, i ii giiue — — od —— ———áÀ u- —— À a S m DOv j T E t J « k £ ; . (EA N e NI ((5 j 2 Z o SNNM i NG ( GA g AA A ä L E LXANN o J — 74 n l" L "J' j AA W A 27 P UT ä..n W s n ; , 2 "o s ( l M n 2) a Eïï &s* z N äï 22 - p m ^ &—Jþf-c,g, 9» n AE M — VAE* 91 , l 2 M ü. '* N mití ) j d À w i (2 » ; ä*x D » á u 2 J;;l - 2 V ä - 2 N s hm S /j/ SS Z s AU 20 d N- e i z. Tt N J E z ïx JA di N ANSSS u v X ", /^ M Z SSS E f gn) "'"mmmüx 1 d E z //I ENS 5 T. L d J THESIVM INAVGVRALIVM, PARS PHYSICO:- MATHE MATICA VAM FB AFSPICIIS DIFINIS RECTORE VNIVERSITATIS MAGNIFICENTISSIMO , SERENISSIMO PRINCIPE AC DOMINO DOMINO [O CAROLO LVDOVECO, COMITE PALATINO RHENI, DVCE BAVARLE, COMITE VELDENTL/E ET SPOWHEMII EQVITE AVRATO ORDINIS S. HVBERTT, rel rel BROIRAILDSE OANNE KIES, VNIVFRSITATIS ET COLLEGII ILLVSTRIS PROF. PHYSICES ET MATHESEOS PVBL. ORD. REGLE SCIENTIARVM ACADEMIZE BORVSSIC/E. MEMBRO, ET p.t. PRO - RECTORE AD CONSEQVENDOS SVMMOS IN PHILOSOPHIA HONORES Ad Diem X. Odobr. MDCCLX DN OAMVLIA N OQVA DEFENDENT MAGISTERII PHILOSOPHICI CANDIDATI. UL BMEN G E LITERIS BAUHOF- ET FRANCKIANIS - — »y A N Á MW ( WUY SQ (Q) "*»ää/ : N n 7 ( g ( , , N E l MC UE A t E i m 255 CM E W WA um i ( 77 Z &9)3, ^ /) QuSS i.-. Vs ] u 3 iL AS /x ye 5 X m — d M z TP m dN 35 i Y 2 r J5 s , N (9/72 AV f. NI j N — ) A & ( « NZY m (Q/ Il IESES lb ( ( ( WUA ? f« S d . L N j L N triangulo re&tilineo , fi dentur duo N | j N SS m d latera, 4, h, & angulus his lateribus , y i K n ] datis interjacens - p. ent area Trian- u E E a fï'du l J/ guli — 4b w« $íin p poíto finu to- TOv II. In triangulo recti lineo, fi dentur tria latera 4 — erit area Trianguli DN d ï .[)a €, b-c 54 a-bcc s bgne-a J(ar-ï-qzln-ï-cc »4 av 2 2 2 ) (;2 $. LII. «t d III, In triangulo rectilineo , fi detur unicum latus 4, & anguli hnic lateri adjacentes p & q, erit area Trianguli — 3az. tang. p tang. q. tang. p "B tang. q IV. In circulo (vid, fig, 8$, Geom. | Segneriang) eft 4D »« AE — rectangulo conftanti, fed dantur innumerabiles aliz curve prater circulum , quibus eadem proprietas competit. V. Si angulus fit x , erit pofito finu toto — t 1) differentiale finus x — d. x. cof. x 2) diff..cofinus x — — dx. fin x dx À Ó—É 3) diff, tang. xX — (cofx)? — dx 4) diff. cotang. x — (fin 3)* dx. tang, x» 5)) differ, íecant, x — —— ( cof x dx. fec. x — — — 6) diff. eo[ec. * 25 — tang. x. VI Cylindri re&ti & fcaleni , coni re&i & fcaleni, quorum fed fu- ^ bafes & altitudines zquantur, cubatura eít eadem , perticies E W w cbv $ perficies eorum funt maxime inzquales. vid. Nov. Comment, Petrop. T.L E VII. E Minima crepufcula in locis terre borealibus, uti & auftralibus non eodem anni tempore contingunt, quoniam la- titudo loci in ejus determinationem ingreditur. Regula hec e(t, uti radius eft ad tangentem dimidie depreffiouis circuli cre- pufculorum i,e. 9? ita fimus. elevatiouis poli eft. ad. fiuum.| decli- nationis auftralis folis eo die, quo eff mininnmm crepufculum. VIIL. Cum anno 1672. Richer pendulum, quod fi vngulis mi- nutis temporis fecundis Lutetiz Parifiorum unicam ofcillatio- nem abfolvit, Infulam Cayenue transferret , ejus longitudo 11 lin. brevius reddi debuit, ut heic loci eodem tempore quo Parifiis quamvis ofcillationem finiret. Phznomenon hoc ex majori Solis calore Cayerme explicari nequit, fed hec diffe- rentia lon gitudinis pendulorum potius à diminuta gravitate repetenda eft, & argumentum prxbet ad motum vertiginis 'Telluris demonftrandum. IX, Phenomena fiphonis folide explicantur à Celeberrimo KJESTNERO in Element, Germ, Matbefeos. applicate , Hy- draulj $.4- & K, Monita ejusdem AUCTORIS circa theoriam cochlez, uti vulgo traditur, $. 111. Srat. veriffima funt, *C4 IX. Es E «s XL W'ILH. STUCKELY in inquifitione fua de caufis terrze motuum negat hezc pheznomena à vaporibus fubterraneis de- duci poffey quonidm hi vapores & aliz particule inflamma- biles fint terrx motibus rariores, 2) Pauciores cavitates in- fra terram inveniantur, in quibus tales vapores colligi & moveri poflint uti exemplis operariorum in cavernis lithan- tracum infra furidum maris laborantium demonftrat, qui in tales. cavernas nunquam inciderint. 3) $i etiam cavernz darentur fulphure & aliis partibus inflammabilibus refertz , fine libero aeris externi ingreffu ex ardere non poffent, adeo- que hiatus quidam & fiffurz in fuperficie telluris dari debe- rent, quae tamen raro inveniantur 4) & fi cafp tales inve- niantur, & aperte odorem noxium fpirent, nunquam tamen terram movere poffint, $) In terre motibus talis odor peítifer nunquam fentiatur. 6) Origines fontium turbaren- tur vaporum horum longa (crie—xquod tamen non fiat 7) in quacunque profunditate aqux detegantur, quz his vapori- bus inflammatis obftent. 8) Camerz fubterranee , in qui- bus materia iftorum vaporum inflammabilium contineatur, deberent effe altitudinis dimidii tractus motuum telluris, ita ut fi motus telluris fit per 20 milliaria ,. altitudo coni trun- cati, vel camerz fubterranex vaporibus elafticis repletz de- beret effe ro milliarium, 9) Qloniam poft motum telluris non adeo frequentes oriantur cavitates, in quas materia ter- reftris in fuperficie tellluris prafens delabatur. s. XI[D $ p & $ v 7 - XII. In graduandq thermometro altitudinez mercurii in aqua ebulliente, & in aqua jamjam abeunte in glaciem affumun- tur pro terminis conftantibus, . qui tamen non funt. Mer« curius enim in fiftula altius afcendit in aqua ebulliente, fi hujus aqua fuperficies à majori pondere atmofphzre prema- tur; idem in fiftula profundius defcendit , fi in nive com- preffa thermometrum collocetur. XIIT. Omnis expreffio algebraica quantitatis impoffibilis ad hanc formam a* — t reduci poterit, a, ( quantitates reales fignificantibus. vid, Elem. 4nalss. finit, Segner. $. 419. XIV. $. 91. Optices Kraftiaue requiritur, ut fi linearum AE, BD parallelismus appareat, rectarum loco adhibeantur duo arcus hyperbolici fimiles & zquales; namque ita tangens an- guli optici femper eft directe uti radius, & fi radius fit duplo fnajor, & eadem ratione tangens crefcit, tum angulus non mutatur, XV. Tom. L Phyfices Kraftiane $. 3«1. ignis elafticitas dubia reddi dicitur , quoniám inveniatur ignis incarceratus, fed ex eadem ratione elater aéris fufpicionem incurreret,, quia àà multis corporibus etiam eít aer incaxær.atuvs. ä- XVI, P -a L E - I XVI. Klegans eft experimentum Fabri quod b. Kraftius re- cenfet 'Tom,III. Phyfices $. 119, $1 acus teneatur proxime -4d ócuhim, & ere&a confpiciatur. fed obfcura & ponatur carta coerulei vel cinerei coloris , foramine exiguo perforata, . & feneftram illuminatam verfus directa parum ultra acum , jam acus apparebit inverfa & extra cartam pofita, XVII. Diaboli Cartefiani Illuftri: SEGNERO .novam. occafio- vid, Ejus füem motum aliquem producendi fuppeditarunt , Phyficam. Germ. $, 345- & theoriam hujus motus in 7Memoi- res de l'Academie:des Sciences de Pruffe Tom. VII. XVII. Nuna eft objectio contra $. r46, ejusdem libri: cylin- drorum rectorum & obliquorum cubatüram effe eandam, XIX, Methodus qua celeritatem guttulatum ex nüibe decidemn- tium B. Pitot in Mem. de l'4cad. des fciences de' Paris 1728 pag. 531« Ed. Holl. determinavit, eft. ingeniofifima. .vid Tom. L Pbyfic. Kraft.-.S. 43 .XX. Maxnmus mons Lunæ eft 2695. ped, rhen. alt fed dantur in fuperficie Telluris multolaltiores montes Pichincba eft 4276 ped. rhen. vid, Celeberz. Keftn. matb. appl. Afivon, $. 271 X eu. xX M — ] o —— — -— — — t z * igfas pE MÁ—ÁÓ POR EEE : ** b: A l " »xN w 25 ". j P xk/ d j s t ü d l i J N 4 & £ i E L k j d t " " Y^ Y 5 A N y v A YN u d 6 5 &f 3 A 4 u * 29 M x " hl j V.v J5 M d. . d ( p A $74 T nae i) yX d j j j LES i P E MA v í " um 72 l * A * " £ a * NUA M E PO f as A 22 3 N M ^ t 35 ? Q 2 ; A v 2h :1 a ao : 15 5 " w * hod iA J Y $2 x Ts n x " A^ : n M A E AAX (( * "m "4 ?9- m * 4 t x /(; D. i YR & U 5j A D la« j 2 " 5 PT ss 2 X : f " x 2 » 2l 2 T e $ Ls FS 77 s » 9t &». p J* M E J Pt ao a r a v? a E r SB i "s » a 4 h 2 74 hod rá 97 n ; É f * R 4 Z M 2 J Y & M^ * * 2 ,Jï TR ^ z l 2 4 j x x M. AE ); * $ s " 328 H L [ d Bs P "É [(4 od [2 Pl A v E vl d. AS y^ d d L MAT p dud As ),.? " r X A A Mi frV ^ - A J Ed ; x , d LOA e /'/. 14 P X r X*vl m F* i z MA LA À T * 2 & a g P A A " D7 » É fe ? i 7 A p 3- M v E 4 I3 3 Ü "" n 4 A [ xf * U * ï " i Ls m [ j A i:' i YA a * P d 1 EO UN .1. z i2 & É u ; [ * p : 4 ^ A lé [ TW AE 5 ; v " ;: 22 b p ï; p Y 2 j* hn , Ms i 'ï; 4 x d 2- j M. k 1) Mil ^ lo * p d * P. h d - X f T 5f f " M a ET 2 " L. ï r E a " * € u * [j Y w | A La p i. " LA ^s * A ï d ; g m " E * fg z Y ;: M ^ 2 W L i Á d x .; " j ä;. yr " i 49 d 7 UX ado m s " ; y4 Pa Y L Á THESIVM INAVGVRALIVM X PARS W . PHYSICO-MATHE E2 MATICA VierFarbSelector Standard* - Euroskala Offset Es r VAM SPB AFSPICIIS DIFINIS ä ä e RECTORE VNIVERSITATIS MAGNIFICENTISSIMO, SERENISSIMO PRINCIPE AC DOMINO CU: E DOMINO S ä IO. CAROLO LVDOVICO, COMITE PALATINO RHENI, DVCE BAVARLE, COMITE VELDENTTL/E ET SPOWHEMII EQVITE AVRATO ORDINIS S. HVBERTIT, rel. rel .'.O- p Q Ti BA LDS ä 10 OANNE KIES, VNIVFRSITATIS ET COLLEGII ILLVSTRIS PROF. PHYSICES ET MATHESEOS PVBL. ORD. REGIE SCIENTIARVM ACADEMIZE BORVSSIC/E MEMBRO, ET p.t. PRO - RECTORE AD CONSEQVENDOS SVMMOS IN PHILOSOPHIA HONORES Ad Diem X. Odobr. MDCCLX s DN AVLIA NOUMA DEFENDENT MAGISTERII PHILOSOPHICI CANDIDATI. ä UL B N G. UE LITERIS BAUHOF- ET FRANCKIANIS. M Copyright 4/1999 YxyMaster GmbH www.yxymaster.com