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cal Refutations. (2) Grammar; Barbarismus, Donatus. (3) Mathematics: Arithmetic; Computus ecclesiasticus (Method of finding Easter); On the Sphere, Sacrobosco.[74] 4. Books required at Leipzig for the Degree of A.B. in 1410.[75] (1) Grammar; Priscian (the last two books). [2 months.] {Tractatus (Summulae), Petrus Hispanus. [2-1/2-3 months.] (2) Logic {The "Old" Logic (see Paris, 1254). [3-4 months.] {The "New" " except Topics. [6-1/2-7 months.] (3) Nat'l Philosophy {Physics. [6-9 months.] {On the Soul. [7 weeks-2 months.] (4) Mathematics; On the Material Sphere (Sacrobosco). [5-6 weeks.] 5. Books required at Leipzig for the Degree of A.M. in 1410. (1) Logic {Logic of Heytisbury. {Topics, Aristotle. [3-4 months.] (2) Moral and {Ethics. [6-9 " ] Practical {Politics. [4-9 " ] Philosophy {Economics. [3 weeks.] {On the Heavens and the Earth. [3-1/2-4 { months.] {On Generation and Destruction. [7 { weeks-2 months.] (3) Natural Philosophy {Meteorics. [3-1/2-4 months.] {Parva Naturalia (i.e., the books on { Sense and Sensible Things, Sleep and { Waking, Memory and Recollection, { Longevity and Shortlivedness). [2-1/2-3 { months.] (4) Metaphysics: Metaphysics. [5-9 months.] {Astronomy: Theory of the Planets { (Gerard of Cremona). [5-6 weeks.] {Geometry: Euclid. [5-9 months.] {Arithmetic: Common Arithmetic (Sacrobosco). (5) Mathematics { [3 weeks-1 month.] {Music: Music (John de Muris). [3 { weeks-1 month.] {Optics: Common Perspective (John { of Pisa). [3-3-1/2 months.][76] FOOTNOTES: [Footnote 70: Statutes of 1431.] [Footnote 71: _Chart. Univ. Paris._, I, No. 246.] [Footnote 72: Rashdall, I, p. 436.] [Footnote 73: _Munimenta Acad. Oxon.,_ I, pp. 35-36.] [Footnote 74: _Munimenta Acad. Oxon._, I, pp. 242-243.] [Footnote 75: The figures in brackets indicate the time to be given to each book, or group of books. The data are from Zarncke, _Statutenbuecher der Univ. Lei
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