Abhandlungen zur Geschichte der Mathematik.

220 Karl Hunrath: ptnectuzm per quaecznqze peripheriae GlH segmenta, id est ex instituta partitione, per sexagesima quaecunque partium quadragenarumn qtinarum serupula, quae sint loca 2700. Et totidem exhibita terna similia triangula rectangula. Puncturn Mn mobile consistit in P, quoniam ab eo signo idem est progressus versus H, qui regressus versus G. Itaque MII convertitur in quandam M G & vice versa, ut invertenda quoqzie sit sola denominatio laterum vel angulorum." Die Figur enthält alle trigonometrischen Linien; denn wenn man ] iMEN mit a bezeichnet und den Halbmesser EM-I = 1 setzt, so ist nach unserer Bezeichnungsweise MK = sin c, EK -= MIL = cos a, MIN = tg a, EN =sec a, OM =cot a, OE = cosec a. Zu der Bezeichnung Triangulum planum rectangzuluzm circulo adeommodatum (Kopf der Tafel, s. S. 218) s. S. 417 a. a. 0.: - - -,,Itaque in accommodatione trianguli plani ad circulum serie primd, Perpendiculum fit semissis inscriptae cdullo peripzeriae, ejus videlicet quae anguli acuti vel sui exterioris anplitudinem definit. Basis semissis inscriptae duiplo reliqui e recto, seu complementi. Hypotenuzsa semidiameter. In serie secunda, Perpendicculum fit semissis circumscriptae duplo peripheriae. Basis semidiameter. Hyp2otenusa educta e centro ad metam semissis eircumscriptae dzuplo perip9heriae. In serie tertia, Perpendiculzum fit semidiameter. Basis semissis circumscriptae duplo complementi. Hyp o t enzs a educta e centro ad metam semissis circumscrilptae diplo complementi. Quoniam vero triangulutm ipsum non omne deseribitur intra vel circa circuium, ideo ne vocum catachresis quempiam deludat, dicitur rudiusctle triangulum circulo adcommodari." Zu den Ausdrücken Canon faecundus, C. faecundissimus s. a. a. 0 S. 417: ~Ex canonibus deinde Sinuum derivaverznt recentiores Canonem semissium circumscriptorum, quem dixere Faecuindum, c& Canonem eductarum e centro, quem dixere Faecundissimum & Beneficum, Hypotenusis addcictum." Das eine ist also die Tafel der Tangenten bezw. Cotangenten, das andere die Tafel der Secanten bezw. Cosecanten. Dem Canon math. unmittelbar angeheftet ist im Kasseler Exemplar der mit **** bezeichnete Bogen, welcher auf zwei nebeneinanderstehenden Blättern Mlathemati Canonis Epitome enthält.

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Title
Abhandlungen zur Geschichte der Mathematik.
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Page 204
Publication
Leipzig,: B. G. Teubner,
1877-99.
Subject terms
Mathematics -- Periodicals.
Mathematics -- History.

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"Abhandlungen zur Geschichte der Mathematik." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/acd4263.0003.001. University of Michigan Library Digital Collections. Accessed April 30, 2025.
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