Tetragonismus id est circuli quadratura per Cãpanu, Archimede Syracusanu atqz boetium mathematicae perspicacissimos adinuenta de ARCHIMEDES / BOETHIUS / CAMPANO DA NOVARA / GAURICO, Luca, ed - 1503
de ARCHIMEDES / BOETHIUS / CAMPANO DA NOVARA / GAURICO, Luca, ed
Tetragonismus id est circuli quadratura per Cãpanu, Archimede Syracusanu atqz boetium mathematicae perspicacissimos adinuenta
de ARCHIMEDES / BOETHIUS / CAMPANO DA NOVARA / GAURICO, Luca, ed
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First published Latin edition of De Mensura Circuli and De Quadratura Parabolae, containing Archimedes’ application of the method of exhaustion (the early form of integration) and the earliest theoretical calculation of π; apart from Valla’s excerpts of 1501 in his encyclopedia, the first printed Latin texts of Archimedes (Rose, p. 50).
The brief treatise On the Measurement of the Circle contains "one of the most popular results of [Archimedes’s] mathematical investigations" (Dijsterhuis, p. 222). Archimedes calculated the ratio between the circumference and the diameter of a circle (not called π until early modern times) as being less than 3-1/7 and greater than 3-10/71. The average of these two bounds is 3.1418, an error of about 0.0002. Archimedes obtained his sophisticated estimate for π by circumscribing and inscribing a circle with regular polygons having 96 sides.
"In the course of this proof [of π] Archimedes showed that he had an accurate method of approximating the roots of large numbers. It is also of interest that he there gave an approximation for √3, namely 1351/780 > √3 > 265/153. How he computed this has been much disputed." (DSB I.222) All of his calculations were obtained using not algebraic or trigonometrical notation but purely geometrical means, and without decimal notation. De Mensura Circuli, which is devoid of all traces of the Siculo-Dorian dialect in which it would have been written, consists of only three propositions, and those are somewhat carelessly argued. It has been suggested that it originally formed part of a longer work that would have dealt with the more general question as to the ratio between the length of an arc of a circle and that of its chord (cf Favaro ap. Dijksterhuis, ibid.).
Of the surviving Archimedean works, De Quadratura Parabolae is believed to have been written second. In it, Archimedes employed statical procedures in the solution of geometrical problems and the demonstration of theorems (DSB, II.219). He demonstrated the quadrature of the parabola (as it would later become known) by purely geometric methods, and found the area of a segment of a parabola cut off by any chord. The tract opens with five propositions on properties of the orthotome, followed by eight propositions in which equalities and inequalities about plane figures suspended on a balance are enunciated (Dijksterhuis, p. 336).
Throughout the later Middle Ages, manuscript copies of Archimedes’ works had circulated in both Greek and Arabic. Towards the end of the 15th century, the Italian humanist Giorgio Valla had plans to prepare a complete Latin edition of 7 works contained in the manuscript known as Codex A, which was in his possession. However, he died before accomplishing this, and only a few fragments from Archimedes were incorporated into his encyclopedic De Expetendis et Fugiendis Rebus Opus, which appeared posthumously in Venice, in 1501. Tartaglia’s 1543 Opera Archimedis contains reprints of De Mensura Circuli and De Quadratura Parabolae from Gaurico’s 1503 edition.
Gaurico based his translations of De Mensura Circuli and De Quadratura Parabolae on a manuscript of Moerbeke’s 1269 translation (Madrid MS 9119). Gaurico (1476-1588) reportedly took a doctorate in arts at Padua in 1502 and the preface to the Tetragonismus is dated from Padua, 1503. He went on to publish an edition of Pecham’s Perspectiva Communis, and Trapezuntius’ translation of the Almagest (Venice, 1528). Gaurico’s contemporary reputation stemmed from his astrological prognostications, for which he earned a bishopric from Paul III. Rose suggests that Gaurico may have met Copernicus at Padua, as they were both at the university in the early years of the 16th century, and would have shared a common interest in Ptolemy and Archimedes (Rose, p. 120).
* Riccardi I.40; Graesse VII 105 (no collation); Clagett, Archimedes in the Middle Ages (Wisconsin, 1964), II, 72; Proctor-Isaac 12,551; Essling 1388; Hollis *OGC Ar25E E503; s.v. PMM 72; DSB III.23-29.
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On Cumulative Sums of Random Variables (Annals of Mathematical Statistics 15 No. 3 pp. 283 - 296, September 1944) and Sequential Tests of Statistical Hypotheses (Annals of Mathematical Statistics 16 No. 2 pp. 117 -186, June 1945)
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Foundations of Modern Potential Theory
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Arithmetica universalis,: sive de compositione et resolution arithmetica liber. Cui accessit Halleiana aequationum radices arithmeticae inveniendi metodus...
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ME-ECHAD AD ESER (from 1 to 10). SEPHER CHESHBON LA-KTANIM (Book of Arithmetic for the Little Ones)
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The world of Mathematics Four Volume Set
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On Probability; On the Study and Difficulties of Mathematics; Double Refraction & Polarisation of Light
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His work on probabilities is a land mark piece of mathematical theory that formed the basis of the actuarial calculations of life insurance policy risks. This is the rare first edition of this work, which appeared in the Library of Useful Knowledge. These were a series of learned papers prepared by the leading scientists and academics of the day, each being either 64 or 32 pages long – and sold at low cost to provide a source for knowledge “for the working man”. They were published by Society for the Diffusion of Useful Knowledge (SDUK).
The series was purchased by Longman Green, and re-issued under… Leer más
On Cumulative Sums of Random Variables (Annals of Mathematical Statistics 15 No. 3 pp. 283 - 296, September 1944) and Sequential Tests of Statistical Hypotheses (Annals of Mathematical Statistics 16 No. 2 pp. 117 -186, June 1945)
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Foundations of Modern Potential Theory
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APOLLONII PERGAEI LOCORUM PLANORUM LIBRI II RESTITUTI A ROBERTO SIMSON M.D.
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Arithmetica universalis,: sive de compositione et resolution arithmetica liber. Cui accessit Halleiana aequationum radices arithmeticae inveniendi metodus...
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Progress in Cybernetics and Systems Research, Volume 5: Organization and Management, Organic Problem-Solving in Management System Approach in Urban and Regional Planning Computer performance, Control and Evaluation Computer linguistics
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PHOLD-IT A delightful new approach to creating geometric solids in paper
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Functional Operators, Volume I [Annals Of Mathematics Studies, Number 21]
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Formulas and Theorems for the Special Functions of Mathematical Physics (Die Grendlehren der mathematischen Wissenschaften Band 52)
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COURS DE PHYSIQUE MATHEMATIQUE
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Estimation, Control, and the Discrete Kalman Factor (Applied Mathematical Sciences V. 71): Applied Mathematical Sciences V. 71
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Estimation, Control, the Discrete Kalman Factor (Applied Mathematical Sciences V. 71) New York: Springer-Verlag, 1989. First Printing. Printed in the United States of America. vii - xiii + 274p. 6.25x0.75x9.75. Yellow and white paper over boards with black titling and publisher's device. Collectible hardcover in LIKE NEW condition. Bright, clean pages. Square boards, with a miniscule scratch to the front cover joint, light wear to the spine ends. With 13 illustrations. Bibliography, Index.
Green's Functions and Boundary Value Problems
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