Tetragonismus id est circuli quadratura per Cãpanu, Archimede Syracusanu atqz boetium mathematicae perspicacissimos adinuenta by ARCHIMEDES / BOETHIUS / CAMPANO DA NOVARA / GAURICO, Luca, ed - 1503
by ARCHIMEDES / BOETHIUS / CAMPANO DA NOVARA / GAURICO, Luca, ed
Tetragonismus id est circuli quadratura per Cãpanu, Archimede Syracusanu atqz boetium mathematicae perspicacissimos adinuenta
by ARCHIMEDES / BOETHIUS / CAMPANO DA NOVARA / GAURICO, Luca, ed
- Used
- Hardcover
- first
32 ff. with elaborate woodcut on title, woodcut initials and diagrams throughout. Bound in later marbled paper over boards. Title and first 3 leaves stained at outer margin, scattered light waterstaining, cropped at top margin affecting running head and foliation, a handful of leaves reinforced in the gutter, repaired tear on ff. 30-31 not affecting legibility. Printed on exceptionally heavy paper; overall very good.
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.
- Bookseller Independent bookstores (US)
- Book Condition Used
- Quantity Available 1
- Binding Hardcover
- Publisher Ioan. Bapti. Sessa
- Place of Publication Venice
- Date Published 1503
Practical Mathematics, Parts I, II, III, IV, Instruction Paper
by Hobbs, Glenn M., and Edward B. Waite, and John P. Schroeter
- Used
- good
- Hardcover
- Condition
- Used - Good
- Jacket Condition
- No Dust Jacket
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Wilmington, New York, United States
- Item Price
-
$135.00
Show Details
Dialing: Plain, Concave, Convex, Projective, Reflective, Refractive, shewing, How to make all such Dials, and adorn them with all useful Furniture, Relating to the Course of the Sun, Performed, Arithmetically, Geometrically, Instrumentally and Mechanically; and Illustrated by Sculptures, Engraven in Copper
by William Leybourn
- Used
- good
- Hardcover
- first
- Condition
- Used - Good
- Jacket Condition
- N
- Edition
- 1st Edition
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Birsay, Orkney, United Kingdom
- Item Price
-
$748.32
Show Details
Selected Papers of Duro Kurepa
by Kurepa, Duro; Mijalovic, Zarko (editor)
- Used
- Paperback
- first
- Condition
- Used - Good; Covers rubbed and bumped, pages worn.
- Edition
- First Printing
- Binding
- Paperback
- ISBN 13
- 9788680593203
- ISBN 10
- 8680593206
- Quantity Available
- 1
- Seller
-
Selkirk, New York, United States
- Item Price
-
$100.00
Show Details
Arithmetica universalis,: sive de compositione et resolution arithmetica liber. Cui accessit Halleiana aequationum radices arithmeticae inveniendi metodus...
by [Newton, Isaac; William Whiston; Edmond Halley].
- Used
- very good
- Hardcover
- first
- Condition
- Used - Very Good
- Edition
- First edition
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Tuxedo Park, New York, United States
- Item Price
-
$20,000.00
Show Details
ME-ECHAD AD ESER (from 1 to 10). SEPHER CHESHBON LA-KTANIM (Book of Arithmetic for the Little Ones)
by HEBREW ILLUSTRATED CHILDREN ARITHMETIC BOOKLET - PRINTED IN PRE-STATE ISRAEL - 1948
- Used
- near fine
- first
- Condition
- Used - Near Fine
- Edition
- First Edition
- Binding
- Unknown
- Quantity Available
- 1
- Seller
-
Tel-Aviv, Israel
- Item Price
-
$400.00
Show Details
Arithmetica universalis,: sive de compositione et resolution arithmetica liber. Cui accessit Halleiana aequationum radices arithmeticae inveniendi metodus...
by [Newton, Isaac; William Whiston; Edmond Halley].
- Used
- very good
- Hardcover
- first
- Condition
- Used - Very Good
- Edition
- First edition
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Tuxedo Park, New York, United States
- Item Price
-
$20,000.00
Show Details
Petri Van Musschenbroek ... Physicae experimentales et geometricae, de magnete, tuborum capillarium vitreorumque speculorum attractione, magnetudine terrae, cohaerentia corporum firmorum dissertationes, ut et ephemerides meteorologicae Ultrajectinae
by MUSSCHENBROEK, Petrus van
- Used
- near fine
- Hardcover
- Condition
- Used - Near Fine
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
COLUMBIA, Missouri, United States
- Item Price
-
$950.00
Show Details
Pieter van Musschenbroek was an 18th-century Dutch scientist known for his numerous physics experiments. He extensively studied the work of Isaac Newton, attended his lectures, and developed many of his own hypotheses based on those of Newton. His experiments were illustrated and thoroughly described in his book 'Experimental and Mathematical Physics'. This 1756 edition includes impressive engravings showing the details of his experiments on hydraulics, mechanics, optics, and navigation!
According to the 'Daumas Historical Science',
"Underlying Musschenbroek's lectures demonstrated with experiments was the experimental philosophy. The principal source of inspiration was Newton, but Galileo, Torricelli, Huygens, Réaumur, and others were important to this school."
This tome includes the oft-lacking folding map of the world which features California as an island!
Item number: #16047
Price: $950
MUSSCHENBROEK, Petrus van… Read More
Atomic Scale Structure of Interfaces Symposium Held November 27-29, 1989 Boston, Massachusetts, U.S.A. Materials Research Society Symposium Proceedi (Materials Research Society Symposium Proceedings)
by R. D. Bringans; Randall M. Feenstra
- Used
- Condition
- Used
- Jacket Condition
- 155899047X
- Edition
- Apr-90
- ISBN 13
- 9781558990470
- ISBN 10
- 155899047X
- Quantity Available
- 1
- Seller
-
Forbes Road, Pennsylvania, United States
- Item Price
-
$157.00
Show Details
Theory of Games and Economic Behavior
by Von Neumann, John and Morgenstern, Oskar
- Used
- very good
- Hardcover
- Condition
- Used - Very Good
- Jacket Condition
- No Jacket
- Edition
- Second Edition
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Bloomington, Indiana, United States
- Item Price
-
$3,000.00
Show Details
Epitome Astronomiae, qua brevi explicatione omnia, tam ad Sphaericam quam Theoricam eius partem pertinentia, ex ipsius scientiae fontibus deducta, perspicue per quaestiones traduntur...
by [KEPLER]. II - MAESTLIN, Michael.
- Used
- Hardcover
- first
- Condition
- Used
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Paris, France
- Item Price
-
$30,147.60
Show Details
(17) ll., (1) bl. l., 495 pp., (1) p. and 6 folding plates.
[Preceded by:]
I - Peucer, Caspar. Elementa doctrinae de Circulis coelestibus et primo motu, recognita et correcta.
Wittenb., Joh. Crato, 1576.
(8) ll., 304 pp. (gap in the pagination without loss), 8 folding plates.
Two astronomical works bound in one volume 8vo [155 x 98 mm], full overlapping ivory vellum, remains of ties, flat spine contemporary painted with the author's name, title and library marks handwritten in black ink, sprinkled edges. Contemporary binding.
II/ Precious and extremely rare first edition of the "Epitome Astronomiae", the major work of Joannes Kepler's (1571-1630) master, the astronomer Michael Maestlin (1550-1631).
Caspar, Kepler S. 4/; Houzeau/L. 2747; Zinner 3041; vgl. Admas M 85 ff u. STC 585.
"Michael Maestlin (also called Mästlin, Möstlin or Moestlin), was born on September 30th 1550 in Göppingen in Bade-Württemberg and died on October 20th 1631 in Tübingen. He was a German… Read More
The LaPlace Transform
by Widder, David Vernon
- Used
- very good
- Hardcover
- first
- Condition
- Used - Very Good
- Jacket Condition
- No DJ Included
- Edition
- Second Printing Thus
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Salem, Oregon, United States
- Item Price
-
$64.89$38.93Save $25.96!
Show Details
The Giant Anthology of Science Fiction
by Margulies, Leo
- Used
- very good
- Hardcover
- first
- Condition
- Used - Very Good
- Jacket Condition
- Good-
- Edition
- First Edition
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Salem, Oregon, United States
- Item Price
-
$100.00$60.00Save $40.00!
Show Details
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
by Robert Trappl, F. de P. Hanika and Franz R Pichler (editors)
- Used
- good
- Hardcover
- Condition
- Used - Good
- Binding
- Hardcover
- ISBN 13
- 9780470265536
- ISBN 10
- 0470265531
- Quantity Available
- 1
- Seller
-
Brookline, Massachusetts, United States
- Item Price
-
$65.00
Show Details
PHOLD-IT A delightful new approach to creating geometric solids in paper
by Goldberg, Steven A.; Robert E. Sellars
- Used
- very good
- Paperback
- first
- Condition
- Used - Very good
- Edition
- First Edition
- Binding
- Paperback
- Quantity Available
- 1
- Seller
-
Pittsburgh, Pennsylvania, United States
- Item Price
-
$65.00
Show Details
The world of Mathematics Four Volume Set
by James R. Newman
- Used
- first
- Condition
- Used
- Edition
- 1st edition
- Quantity Available
- 1
- Seller
-
Dover, New Hampshire, United States
- Item Price
-
$70.00
Show Details
Functional Operators, Volume I [Annals Of Mathematics Studies, Number 21]
by Von Neumann, John
- Used
- Paperback
- first
- Condition
- Used - Very Good +
- Edition
- 1st Edition
- Binding
- Paperback
- Quantity Available
- 1
- Seller
-
Pasadena, California, United States
- Item Price
-
$76.50
Show Details
Formulas and Theorems for the Special Functions of Mathematical Physics (Die Grendlehren der mathematischen Wissenschaften Band 52)
by Magnus, Wilhelm, Fritz Oberhettinger & Raj Pal Soni
- Used
- very good
- Hardcover
- Condition
- Used - Very Good
- Edition
- Third Enlarged Edition
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Portland, Oregon, United States
- Item Price
-
$100.00
Show Details
Estimation, Control, and the Discrete Kalman Factor (Applied Mathematical Sciences V. 71): Applied Mathematical Sciences V. 71
by Donald E. Catlin
- Used
- Hardcover
- first
- Condition
- Like New
- Edition
- First Printing
- Binding
- Hardcover
- ISBN 13
- 9780387967776
- ISBN 10
- 038796777X
- Quantity Available
- 1
- Seller
-
riverdale, New York, United States
- Item Price
-
$100.00
Show Details
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.
COURS DE PHYSIQUE MATHEMATIQUE
by Mathieu Emile M
- Used
- very good
- Hardcover
- first
- Condition
- Used - Very Good
- Edition
- First Edition
- Binding
- Hardcover
- Quantity Available
- 1
- Seller
-
Fairfield, New Jersey, United States
- Item Price
-
$100.00
Show Details
Selected Papers of Duro Kurepa
by Kurepa, Duro; Mijalovic, Zarko (editor)
- Used
- Paperback
- first
- Condition
- Used - Good; Covers rubbed and bumped, pages worn.
- Edition
- First Printing
- Binding
- Paperback
- ISBN 13
- 9788680593203
- ISBN 10
- 8680593206
- Quantity Available
- 1
- Seller
-
Selkirk, New York, United States
- Item Price
-
$100.00