bonaventura cavalieri (108 resultados)

Condición: New.

Condición: New. pp. 265.

Condición: New.

Condición: New.

Condición: New.

Condición: New.

Condición: New. Ursinum, Martium Ilustrador.

HRD. Condición: New. New Book. Shipped from UK. Established seller since 2000.

Condición: New.

Condición: New. Ursinum, Martium Ilustrador.

Condición: New. Ursinum, Martium Ilustrador.

brossura. Condición: MOLTO BUONO. A cura di G.Baroncelli. cm.15,5x21, pp.272, con ripr. nt., Coll. Archivio della corrispondenza degli scienziati italiani, 3. Firenze, Olschki Ed. cm.15,5x21, pp.272, con ripr. nt., brossura Coll. Archivio della corrispondenza degli scienziati italiani, 3.

Condición: New.

Rilegato. Condición: come nuovo. Volume in 8° (cm 15,0 x 23,5), legatura editoriale in piena tela color grigio chiaro, impressioni in oro al dorso, sopraccoperta in acetato trasparente, pagg 870 con numerose figure nel testo. A cura di Marco Lombardo-Radice, collana diretta da L. Geymonat. Esemplare perfetto, come nuovo. Il metodo degli indivisibili introdotto intorni al 1640 dal Cavalieri per il calcolo di aree e volumi ha aperto la via al calcolo integrale: gli indivisibili sono figure geometriche di spessore infinitesimo.

rilegato Copertina rigida. Condición: Buono (Good). In 8, 872 pagine con 9 tavole: ill., legatura editoriale come da foto con acetato di protezione. 1. edizione Copertina rigida Buono (Good) .

hardcover. Condición: Perfetto (Mint). "Classici della scienza, n. 5". Opera con copertina rigida e sovraccoperta trasparente alettata. Numerose illustrazioni e grafici in b/n nt e ftN59. Book.

Paperback. Condición: New. Print on Demand. This book, from the 17th century, is a comprehensive compendium of spherical astronomy, written for those interested in understanding the field. The author, a well-regarded astronomer of his era, begins by defining astronomy, and explaining the concepts of the celestial sphere, its divisions, and their relation to the movements of the heavenly bodies. He then goes on to describe the ten primary circles of the sphere and their use in astronomy. The text concludes with insightful discussions on the division of the world into the terrestrial and celestial, and the constituent parts of each. This book is a valuable resource for astronomy students and history of science scholars, and provides a fascinating glimpse into the history of scientific thought. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.

Hardcover. First edition. THE METHOD OF INDIVISIBLES. Second edition (first, 1635) of Cavalieri's text containing the discovery of the 'method of indivisibles', one of the most important forerunners of the integral calculus. Book II of the work includes the statement of 'Cavalieri's principle' for the determination of areas and volumes, which considers an area as made up of an indefinite number of equidistant parallel line segments ('omnes lineae'), and a solid as made up of an indefinite number of parallel plane areas. It states that, if two planar figures are contained between a pair of parallel lines, and if the lengths of the two segments cut by them from any line parallel to the including lines are always in a given ratio, then the areas of the two planar pieces are also in this ratio (there is an analogous principle for the determination of volumes). Cavalieri's principle provided a simple and effective alternative to the Archimedean method of exhaustion, and was used by Kepler, Galileo, Cavalieri's pupil Torricelli, Wallis, Pascal, and others. The first edition of the Geometria is a notorious rarity, ABPC/RBH listing only the Macclesfield copy in the last 80 years. This second edition is not as rare, but is still very difficult to find in such fine condition as in our copy. "For Cavalieri a surface consists of an indefinite number of equidistant parallel straight lines and a solid of a set of equidistant parallel planes. These constitute the line and surface indivisibles respectively. For plane figures (or solids) a regula, that is, a line (or plane) drawn through the vertex, is the starting point. The regula moves parallel to itself until it comes into coincidence with a second line (or plane) termed the base or tangens opposita. The intercepts (lines or plane sections) of the regula with the original plane (or solid) figure are the elements or indivisibles making up the totality of lines (or planes) of the figure. "In the techniques developed by Cavalieri the indivisibles of two or more configurations are associated together in the form of ratios and from these ratios the relations between the areas (or volumes) of the figures themselves are derived. In moving from a relation between the sums of the indivisibles and thus to a relation between the spaces the infinite is employed, but purely in an auxiliary role. "Cavalieri's defence of indivisible methods was based primarily on the idea of a device or artificium which works rather than on any definite or dogmatic views as to the nature of indivisibles and the spaces which they occupy. Nevertheless the classic problem of the nature of the continuum imposed itself upon him and, from the outset, he felt himself obliged to try to meet some of the arguments which he felt might be directed against his methods. He admits that some might well doubt the possibility of comparing an indefinite number of lines, or planes (indefinitae numero lineae, vel plana). When such lines (or planes) are compared, he says, it is not the numbers of such lines which are considered but the spaces which they occupy. Since each space is enclosed it is bounded and one can add to it or take away from it without knowing the actual number of lines or planes. Whether indeed the continuum consists of indivisibles or of something else neither the space nor the continuum is directly measurable. The totalities, or sums, of the indivisibles making up such spaces are, however, always comparable. To establish a relation between the areas of plane figures, or the volumes of solid bodies, it is therefore sufficient to compare the sums of the lines, or planes, developed by any regula. "The foundations for Cavalieri's indivisible techniques rest upon two distinct and complementary approaches which he designates by the terms collective and distributive respectively. In the first, the collective sums, ? l1 and ? l2, of the line (or surface) indivisibles for two figures P1 and P2 are obtained separately and then used to establish the ratio of the areas (or volumes) of the figures themselves. If, for example, ? l1 / ? l2 = ?/?, then P1/P2 = ?/? This approach was given the most extensive application by Cavalieri and he exploited it with skill and ingenuity to obtain a fascinating collection of new results which he exhibited in the Exercitationes [Geometriae Sex, 1647]. The distributive theory, on the other hand, was developed primarily in order to meet the philosophic objections which Cavalieri felt might be raised against the comparison of indefinite numbers of lines and planes. Fundamental here is Cavalieri's Theorem: the spaces (areas or volumes) of two enclosed figures (plane or solid) are equal provided that any system of parallel lines (or planes) cuts off equal intercepts on each. In brief, if for every pair of corresponding intercepts l1 and l2, l1 = l2, then P1 = P2. An immediate extension follows: if l1/ l2 = ?/?, then P1/P2 = ?/? Cavalieri himself only made use of this method in a limited number of cases where ?/? is constant for all such pairs of intercepts. This technique, however, in the hands of Gregoire de Saint-Vincent and others in the seventeenth century, became a valuable means of integration by geometric transformation. Ultimately, whichever of the two methods was applied, Cavalieri was prepared to concede that absolute rigour required in each case an Archimedean proof with completion by reductio ad absurdum" (Baron, The Origins of the Infinitesimal Calculus, 1969, pp. 124-6). "The concept of indivisibles does sometimes show up fleetingly in the history of human thought: for example, in a passage by the eleventh-century Hebrew philosopher and mathematician Abraham bar Hiyya (Savasorda); in occasional speculations more philosophical than mathematical by the medieval Scholastics; in a passage by Leonardo da Vinci; in Kepler's Nova stereometria doliorum . [and in] Galileo . "In Cavalieri we come to a rational systematization of the method of indivisibles, a method that not only is de.

Cm. 25, pp. 71 + (104) con tavole logaritmiche. Antiporta allegorica interamente incisa in rame ed una tavola incisa in rame f.t. in fine contenente figure geometriche. Legatura del tempo in cart. alla rustica con dorso rinforzato posteriormente con carta marmorizzata. Esemplare genuino e marginoso, in barbe. Edizione originale, non comune.

LeatherBound. Condición: New. LeatherBound edition. Condition: New. Reprinted from 1779 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Pages: 61 NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 61 Language: Italian.

Paperback. Condición: New. Print on Demand. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.

Leather Bound. Condición: New. Language: Italian. Presenting an Exquisite Leather-Bound Edition, expertly crafted by the prestigious organization "Rare Biblio" with Original Natural Leather that gracefully adorns the spine and corners. The allure continues with Golden Leaf Printing that adds a touch of elegance, while Hand Embossing on the rounded spine lends an artistic flair. This masterpiece has been meticulously reprinted in 2024, utilizing the invaluable guidance of the original edition published many years ago in 1779. The contents of this book are presented in classic black and white. Its durability is ensured through a meticulous sewing binding technique, enhancing its longevity. Imprinted on top-tier quality paper. A team of professionals has expertly processed each page, delicately preserving its content without alteration. Due to the vintage nature of these books, every page has been manually restored for legibility. However, in certain instances, occasional blurriness, missing segments, or faint black spots might persist. We sincerely hope for your understanding of the challenges we faced with these books. Recognizing their significance for readers seeking insight into our historical treasure, we've diligently restored and reissued them. Our intention is to offer this valuable resource once again. We eagerly await your feedback, hoping that you'll find it appealing and will generously share your thoughts and recommendations. Lang: - Italian, Pages: - 59, Print on Demand. If it is a multi-volume set, then it is only a single volume. We are specialised in Customisation of books, if you wish to opt different color leather binding, you may contact us. This service is chargeable. Product Disclaimer: Kindly be informed that, owing to the inherent nature of leather as a natural material, minor discolorations or textural variations may be perceptible. Explore the FOLIO EDITION (12x19 Inches): Available Upon Request. 59.

Rilegato. Condición: nuovo. Edizione limitata a 600 copie la nosta è la numero 38. 543pp. CREMONESE EDIZIONI, 1980. legatura in tela grezza di colore girgio. Ristampa anastatica dell' edizione del 1647. COPIA PERFETTA - NUOVA. Riproduzioni, stampa e legatura sono state eseguite nelle rispettive sezioni dell'Istituto Statale d'Arte di Urbino.

LeatherBound. Condición: New. LeatherBound edition. Condition: New. Reprinted from 1643 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Pages: 203 NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 203.

LeatherBound. Condición: New. LeatherBound edition. Condition: New. Reprinted from 1640 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Pages: 113 NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 113.

LeatherBound. Condición: New. LeatherBound edition. Condition: New. Reprinted from 1639 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Pages: 133 NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 133.

LeatherBound. Condición: New. LeatherBound edition. Condition: New. Reprinted from 1690 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Pages: 377 NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 377.

LeatherBound. Condición: New. LeatherBound edition. Condition: New. Reprinted from 1643 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Pages: 223 NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 223.

Bologna, Benazzi, 1643. In-4° (23 x 16), pp. 71+(104) di tavole logaritmiche. Bella antiporta allegorica incisa in rame; e una tav. in rame f.t. con figure geometriche. Leg. piena pergamena epoca. Titolo manoscritto al dorso. Un timbro di biblioteca estinta al frontespizio, buon esemplare. (8492) Edizione originale di quest'opera del grande matematico milanese amico di Galileo, professore all'Ateneo bolognese. Le tavole logaritmiche qui pubblicate sono una riedizione di quelle già apparse nel Directorium Uranometricum (1632); nuovo è invece il testo prepostovi, che sintetizza i contributi e le scoperte del Cavalieri nel calcolo logaritmico, in forma metodologicamente più chiara e sistematica, nelle sue applicazioni alla trigonometria piana e sferica. "Il Cavalieri ha prima e più d'ogni altro contribuito alla diffusione in Italia delle teoria e della pratica dei logaritmi, di cui egli considerò in particolar modo le applicazioni alla trigonometria. Il suo più cospicuo contributo alla conoscenza della sfera è rappresentato dalla scoperta e relativa dimostrazione dell'espressione dell'area di un triangolo sferico." (Loria, Storia delle Matematiche, pp. 422-3). D.B.I., XXII/p. 657: "a carattere manualistico, ma consultato con profitto anche da grandi matematici come il Cassini, perché riassume vari problemi già affrontati in diverse opere minori".Riccardi, I/328; Zeitlinger, n. 6780.