‎Trigonométrie‎

‎[Meyers] Großer Rechenduden : [der große Rechenduden] / hg. von Karl Rottmann.‎

‎Mannheim : Bibliographisches Inst., 1964. 2 Bde. 880 S. : graph. Darst. 8°. OLwd mit SU.‎

‎Bd 1: Der große Rechenduden (3. Aufl., 1969). - Bd 2: Meyers großer Rechenduden (Funktionstafeln), 1964. Beide Bde mit verschiedenem Titel, aber äußerl. wie vom Inhalt zueinander passend. Zustand: gut.‎

書籍販売業者の参照番号 : 8116

‎(Kaschutnig, Johannes Baptista)‎

‎Prima elementa arithmeticae, algebrae, geomedtriae, trigonometriae planae et spaericae, architecturae civilis, ac militaris, academicis praelectionibus accomodata.‎

‎Graz, Wdmanstätter, 1754. 3 Bll., 40, 33, 62, 44, 11, 71, 49 S. 10 (statt 11) gefalt. Kupfertafeln. 8°. Ldr. der Zeit mit Rückenschild (beschabt unjd etw. bestoßen). [5 Warenabbildungen]‎

‎Erste Ausgabe. - Graff 1826. Poggendorff I, 1230. - Erste Ausgabe dieses naturwissenschaftlichen Lehrbuchs der Grazer Jesuitenuniversität, verfasst von Johannes Baptista Kaschutnig (der in älteren Antiquariatskatalogen auch noch als Joachim Baptist Kasschuttnigg firmiert). Der Schwerpunkt des hübsch illustrierten Werkes ist auf dem Gebiet der Trigonometrie und der bautechnik zu sehen. - Die fehlende Tafel 2 zu Teil 3 auf altem Papier faksimiliert eingebunden. - Vorsätze entfernt. Durchgehend etw. fleckig und gebräunt. Hinterer Buchinnendeckel mit Kleberesten und kl. hs. Zeichnungen.‎

書籍販売業者の参照番号 : 21703

‎[TRIGONOMETRY and SURVEYING].‎

‎18TH C SURVEYING MANUSCRIPT WITH HAND-COLORED ILLUSTRATIONS <br> Géométrique pratique.‎

‎<p>Manuscript 4to. 23.5 x 17.5 cm 2 ff. pencil sketch of arms Marlborough and blank 196 ff. and with 27 drawn folding plates many of which are colored. Bound in contemporary French calf spine gilt in six decorative compartments with title on letterpiece. Excellent with all plates drawn and many some colored in a very professional hand.<br /><br /></p><p>Very attractive early 18th-century French illustrated manuscript of practical geometry in seven books including individual sections on longimetry planimetry and stereometry—the fundamentals of precision surveying and draftsmanship. The manuscript closely follows but is not identical to Jacques Ozanam's <i>Géométrie Pratique du sr Boulenger</i> Paris 1684 which itself was a revision of <i>La Géométrie pratique </i>Paris 1640 by the mathematician Jean Boulenger. Though the work was reprinted well into the 18th C the present volume seems to follow Ozanam's 1693 edition most closely. Ozanam's book however lacks the drawn and colored figures of the present volume many of which are quite elaborate. The facade of Notre Dame is shown in an exercise for calculating the height of a wall and a segment on proportion features detailed miniature maps of the Brittany coastline identifying towns such as St. Malo and Mont St. Michel. <br /></p><p>The manuscript exemplifies the early 18th C approach to applied trigonometry—a field that by the mid-17th C was starting to resemble an exact science. Book II defines the common functions sine cosine secant etc.; Book V treats longimetric puzzles such as determining the height of a mountain or a spire or measuring the length of bodies of water; the final two books treat planimetry and stereometry including applied trigonometry—calculating the volumes of real bodies i.e. barrels pipes etc. Those sections of the manuscript that do not appear in <i>Géométrie Pratique</i>—mainly a tract on logarithms and a discussion of surveying instruments—also fall within Ozanam's oeuvre as he published a monograph on compasses in 1673 and a book of logarithmic tables and trigonometric functions in 1685.</p><p>Jacques Ozanam 1640-1717 was best known for his <i>Récréations mathematiques</i> Paris 1694 which "may be regarded as the forerunner of modern books on mathematical recreations." In addition to Boulenger's work he also revised that of Adriaan Vlacq 1600-1667 and the Jesuit mathematician Claude-François Milliet Dechalles.</p> DSB.10 pp.263-265. [France, early 18th century].‎

書籍販売業者の参照番号 : 2805

‎ACCADEMIA Reale delle Scienze di Torino.‎

‎Influenza dell'errore di Verticalità della Stadia sulla Misura delle distanze e sulle altezze‎

‎Nota del socio Nicodemo Jadanza. Ottimo esemplare totalmente coevo. Brossura editoriale cartacea, pp. 8, in 8°‎

‎AL-BATTANI (sive Albatenii)‎

‎Opus astronomicum ad fidem codicis escurialensis arabice editum, latine versum, adnotationibus instructum a Carolo Alphonso Nallino, Pars I, Pars II, Pars III‎

‎In-4°, 3 volumi rilegati in mezza pergamena, Pars I: Versio latina capitum cum animadversionibus (1903), LXXX, 327pp. Pars II: Versio latina tabularum omnium cum animadversionum, glossarium, indicibus (1907), XXXI, 413pp. Pars III: Textus arabicus capitum et tabularum selectarum (1899), 280pp. Al Battani compì studi approfonditi, ricavando  formule ed esponendole in un trattato, Opus Astronomicum, dove affrontò problemi di geometria sferica e trigonometria, quale, per esempio, la tecnica per determinare gli elementi di un triangolo sferico una volta noti due lati ed un angolo. I contributi dati riguardano l’introduzione del seno di un arco, una tavola di cotangenti e la formulazione di alcune proposizioni fondamentali di trigonometria sferica. Al Battani, inoltre, contestò i principi di trigonometria introdotti dai greci Ipparco di Nicea e Tolomeo; in particolare, contestò il seno e la corda d’Ipparco, formulando i rapporti trigonometrici così come sono conosciuti oggi, e le soluzioni quadrilaterali di Tolomeo sostituendole con quelle triangolari. A lui contemporanei furono Abu Nasr Mansua (900 d.C.) a cui viene attribuito il teorema dei seni per la risoluzione dei triangoli semplici, e il matematico persiano Muammad ibn Musa Al Kuwarizmi il quale compilò tavole dei seni e delle tangenti dando contributi anche alla trigonometria sferica e soprattutto entrando in contatto con gli studi indiani ripresi dall’opera astronomica Sindhind, dalla quale venne ricavato un più corretto sistema di numerazione e di calcoli usato ancora oggi. In-4°, 3 volumes half parchment binding, Pars I: Versio latina capitum cum animadversionibus (1903), LXXX, 327pp. Pars II: Versio latina tabularum omnium cum animadversionum, glossarium, indicibus (1907), XXXI, 413pp. Pars III: Textus arabicus capitum et tabularum selectarum (1899), 280pp. Al Battani carried out in-depth studies, obtaining formulas and exposing them in a treatise, Opus Astronomicum, where he addressed problems of spherical geometry and trigonometry, such as, for example, the technique for determining the elements of a spherical triangle once two sides and an angle were known. The contributions given concern the introduction of the sinus of an arch, a table of cotangents and the formulation of some fundamental propositions of spherical trigonometry. Al Battani also contested the principles of trigonometry introduced by the Greeks Hipparchus of Nicaea and Ptolemy; in particular, he contested Hipparchus's sinus and corda, formulating the trigonometric ratios as they are known today, and Ptolemy's quadrilateral solutions replacing them with triangular ones. To him contemporaries were Abu Nasr Mansua (900 AD) to whom the sinus theorem for the resolution of simple triangles is attributed, and the Persian mathematician Muammad ibn Musa Al Kuwarizmi who compiled tables of the sinuses and also contributed to spherical trigonometry and above all by getting in touch with the Indian studies taken up by the astronomical work Sindhind, from which a more correct numbering and calculation system is still used today.‎

‎Alasia, Cristoforo‎

‎Esercizi ed applicazioni di Trigonometria piana con 400 esercizi e problemi proposti‎

‎Mm 100x155 Collana "Manuali Hoepli", Serie scientifica 309 - Volume in copertina rigida con titoli impressi al piatto e al dorso, 291 pagine con 30 incisioni + elenco dei Manuali Hoepli. Qualche riga d'inchiostro alla copertina, peraltro opera in ottime condizioni. SPEDIZIONE IN 24 ORE DALLA CONFERMA DELL'ORDINE‎

‎ANGELO ANDRIANI DA GIOVINAZZO‎

‎TRIGONOMETRIA PIANA CON UTILI ED INTERESSANTI ESERCIZI AD USO DELLE SCUOLE SECONDARIE DEL REGNO‎

‎In 8. Dim. 20,5x14 cm. Pp. 103+3 (n.n.). Interessante opera completa in un volume del 1877, un manuale di trigonometria piana ad uso delle scuole secondarie del Regno di Angelo Andriani. All'interno sono presenti numerose formule ed esercizi. Note manoscritte. In buone condizioni. Copertina in mezza tela con titolo manoscritto al dorso in ottime condizioni generali con lievi usure ai margini e dorso. Legatura in ottime condizioni. All'interno le pagine si presentano in ottime condizioni con rare fioriture. Interesting complete work in one volume of 1877, a manual of plane trigonometry for the usage of secondary schools by Angelo Andriani. Inside there are different formula and exercises. Manuscripted notes. In good conditions. Half cloth cover with manuscripted title in the spine in very good general conditions slightly worn in the edges and spine. Binding in very good conditions. Inside pages are in very good conditions with occasional foxings.‎

‎BADANO, Gerolamo‎

‎Nuove ricerche sulla risoluzione generale delle equazioni algebriche‎

‎In -folio, pp. 20 e due tavv. ripiegate. Manca l’“Appendice...”, descritta in Iccu e presente in altre edizioni consultate, mentre sono presenti le due tavole relative al testo.‎

‎BARBETTE, E.‎

‎COURS DE TRIGONOMETRIE. ( signe).‎

‎, Gand, Librairie Generale de Ad. Hoste, 1904., Relie, demi - chagrin rouge, plats marbre, dos orne titre dore, plats de papier marbre, 15,5x24,5cm, 259pp, illustre n/b. signature de l' auteur.‎

‎A l' usage des candidats aux ecoles speciales. Toutes exemplaires sont revetus de la signature de l' auteur.‎

書籍販売業者の参照番号 : 8827

‎Bencivenga Ulderico‎

‎GEOMETRIA E TRIGONOMETRIA IPERBOLICHE E FONDAMENTI D'UNA GEOMETRIA A METRI VARIABILI (1940)‎

‎In 8, boss., pp. 191.Copia stanca sciolto in 3 parti, cop. e dorso scollati dal corpo, firma di app. in prima bianca.Luogo di pubblicazione RomaEditore Tip. Soc. Ed. Libro ItalianoAnno pubblicazione 1940Materia/Argomento Geometria, Trigonometria‎

‎BEZOUT‎

‎COURS DE MATHEMATIQUES A L'USAGE DE LA MARINE ET DE L'ARTILLERIE. TOME II.‎

‎Sans lieu v 1810. In-8 VIII 124pp. Pleine basane brune, dos lisse, rel époque. Orné de 12 planches dépliantes regroupant de nombreuses figures. Dorure du dos passée, manque le bas de la page de titre.‎

‎Nouvelle édition revue avec le plus grand soin, suivie d'un commentaire par F. Peyrard. Tome II seul, contenant les éléments de la géométrie, trigonométrie rectiligne et trigonométrie sphérique. (1886)‎

書籍販売業者の参照番号 : GIT010d8

‎BEZOUT, M.‎

‎Cours de Mathématiques, à l’usage des Gardes du Pavillon et de la Marine. Seconde partie. Contenant les Eléments de Géométrie, la Trigonométrie rectiligne & la Trigonométrie sphérique.‎

‎Paris, chez J.B.G. Musier 1729, 195x125mm, VIII- 357pages, veau marbré de l’époque, dos à nerfs, pièce de titre et de tomaisons, fleurons dorés, tranches rouge. Cachet moderne de possesseur sur page de garde.‎

‎7 planches dépl., Pour un paiement via PayPal, veuillez nous en faire la demande et nous vous enverrons une facture PayPal‎

書籍販売業者の参照番号 : 23459

‎BEZOUT‎

‎Cours de Mathématiques, à l'usage des gardes du Pavillon et de la Marine. Seconde partie contenant le éléments de Géométrie, la trigonométrie rectiligne et la trigonométrie sphérique.‎

‎Paris: De l'Imprimerie de Ph. -D. Pierres, An IV in-8, viii-357 pp., 7 planches hors texte se dépliant. Reliure veau d'ép. usagée, rousseurs, qq trous de vers sans atteinte au texte.‎

‎in-8, viii-357 pp., 7 planches hors texte se dépliant. Reliure veau d'ép. usagée, rousseurs, qq trous de vers sans atteinte au texte. [M.C.: mathématiques, géométrie, trigonométrie].‎

書籍販売業者の参照番号 : 13966603

‎Borrello, Antonio‎

‎Trigonometria piana‎

‎Mm 155x210 Nona edizione. Senza data - Brossura editoriale di pp. 252. Un piccolo strappo in prossimità del dorso, una firma in apertura, peraltro opera in ottime condizioni. SPEDIZIONE IN 24 ORE DALLA CONFERMA DELL'ORDINE.‎

‎BOURLET Carlo‎

‎Leçons De Trigonometrie Rectiligne‎

‎Paris Armand Colin 1919 In8 322 pages - broché - bon etat‎

‎Bon‎

書籍販売業者の参照番号 : 68Et

‎BRETON, P.‎

‎Traité du lever des plans et de l’arpentage précédé d’une introduction qui renferme des notions sur l’emploi pratique des logarithmes, la trigonométrie, l’algèbre et l’optique.‎

‎Paris, Bouchard-Huzard / Gauthier-Villard 1865, 230x145mm, XXXI- 595pages, broché. Bande de papier collé sur le dos. A faire relier.‎

‎9 planches dépl., Pour un paiement via PayPal, veuillez nous en faire la demande et nous vous enverrons une facture PayPal‎

書籍販売業者の参照番号 : 31381

‎Briot - Bouquet.‎

‎Leçons de triginométrie conformes aux programmes de l’enseignement scientifique des lycées. Neuvième édition.‎

‎Paris, Ch. Delagrave 1844, 225x135mm, 244pages, reliure demi-basane. Titre doré au dos. Bel exemplaire.‎

‎Cachet de bibliothèque. Pour un paiement via PayPal, veuillez nous en faire la demande et nous vous enverrons une facture PayPal‎

書籍販売業者の参照番号 : 55725

‎BRUHNS C.‎

‎Nuovo manuale logaritmico trigonometrico, con sette decimali. Undecima edizione stereotipa.‎

‎Lipsia, Bernhard Tauchnitz, 1913, in-8 grande, leg. coeva in mezza pergamena (mancanze al dorso), pp. XXIII, [1], 610.‎

‎Buscherini Stefano‎

‎Nel segno di Urania. Introduzione alla trigonometria greca e al calcolo delle corde‎

‎brossura‎

‎C. Bruhns‎

‎Nuovo manuale logaritmico-trigonometrico con sette decimali‎

‎Segni d'uso sulla rilegatura priva di sovra copertina. Interno ben conservato, fascinoso libro di matematica logaritmica e trigonometrica dei primi del 900.‎

‎CAGNOLI Antoine‎

‎Trigonometrie rectiligne et spherique. Traduite de l'italien par N. M. Chompre'. Seconde e'dition considerablement augmente'e‎

‎In 8 gr. pp. XVI + 512 con 9 tabelle piu' volte rip. 8 tavv. inc. f. t. M. pl. ottocentesca. Traduzione tratta della seconda edizione bolognese del 1804. La prima edizione era stata pubblicata a Parigi in italiano nel 1796 destando un certo interesse.‎

‎CAGNOLI Antonio‎

‎SEZIONI CONICHE. Seconda edizione.‎

‎In-8 (mm. 231x150), brossura orig., pp. VII,230, con 7 tavole f.t., inc. in rame e più volte ripieg., ciascuna con numerose figure geometriche. Opera di geometria-trigonometria, una delle principali dell’astronomo, matematico Antonio Cagnoli (1743-1816), pubblicata in prima ediz. nel 1801. Così Diz. Treccani,II, p. 597. Pagine con uniformi ingialliture interc. nel t., ma buon esemplare con barbe. .‎

‎CAGNOLI, Antonio‎

‎Trigonometria piana e sferica, edizione seconda notabilmente ampliata‎

‎In-4°, legatura in mezza pergamena coeva con titolo e fregi in oro; pp. XX, 533 (1) + 8 tavole di figure ripiegate+12 tavole di formule ripiegate. Antonio Cagnoli, astronomo, meteorologo, matematico (Zante 1743 - Verona 1816), dapprima diplomatico della Repubblica Veneta, a 37 anni iniziò gli studi di astronomia con Lalande a Parigi; costruì a Verona un osservatorio a sue spese ma, caduta la città in mano dei Francesi, ne trasportò gli strumenti all'osservatorio di Brera. Fino al 1807 insegnò calcolo sublime alla scuola militare di Modena. Fu uno dei sistematori della trigonometria e il suo nome è legato a tre formule di trigonometria sferica . Così Diz. Treccani,II, p. 597. In-4°, half parchment binding with title and friezes in gold; pp. XX, 533 (1) + 8 fold out figures + 12 fold out tables. Antonio Cagnoli, astronomer, meteorologist, mathematician (Zante 1743 - Verona 1816), first diplomat of the Venetian Republic, at the age of 37 he began to study astronomy with Lalande in Paris; he built an observatory in Verona at his own expenses but, having fallen the city into the hands of the French, he transported the instruments to the Brera observatory. Until 1807 he taught calculus at the military school of Modena. He was one of the trigonometry fixers and his name is linked to three formulas of spherical trigonometry ". See Diz. Treccani, II, p. 597.‎

‎Christophe Clavius Cristoforo Clavio‎

‎Opera mathematica V tomis distributa. Ab auctore nunc denuo correcta, et plurimis locis aucta. 1–5‎

‎5 voll. Folio. viii pp. (incl. frontespizio inciso) + 596 + 607–638; + 252 (ultima carta bianca); + 244 + 84 + 184 (ultima carta bianca); + viii + 340 (ultima carta bianca) + 348 + xx (ultima carta bianca); + viii + 552 + xii + 60 + 244; + xii + 624 (ultima carta bianca) + 124 (ultima carta bianca) + 60 + 20 + 24 pp. Numerosi legni e diagrammi nel testo. Legatura in pelle coeva, dorso dorato. Bruniture omogenee della carta. The evidence of the attempts to leave the Aristotelianism for the modern method and an important proof of the Galileian revolution.Clavius's work includes in addition to commentary on arithmetic and algebra one on Euclid, Teodosio and Sacrobosco; his contribution to the study of trigonometry and astronomy; his work on the calendar. Clavius has been for mathematics in Renaissence a real turning point: “Probably the man who did the most of all the German scholars of the 16th century to extend the knowledge of mathematics… was Cristopher Clavius, a Jesuit, who passed the later years of his life in Rome. He was an excellent teacher… His Algebra appeared in 1608 and was one of the best textbooks on the subject that had been written up to that time… (he was) engaged in the reform of the calendar…” (Smith). Opera Mathematica in his third volume contains the Sphaera in his last editorial, to which Clavius worked during 1610 and which was printed in 1611. Shortly thereafter, in February 1612, Clavius was dying after a period of illness. In March 1610 following his comments on the telescope, Galileo published in Sidereus Nuncius his latest astronomical discoveries. These findings, perhaps only for a lucky snap of dates, are among the topics covered in the review of Sphaera, where Clavius shows to recognize the meaning. Clavius and the Jesuits in those years had to go back to seriously consider the observations of Galileo, and had to acquire the telescope also to repeat the observations and then verify their accuracy. Clavius led directly the observations (especially on the phases of Venus and the moons of Jupiter, but also on the lunar spots) along with a group of young Jesuit mathematicians and astronomers, first of all Grienberger, thus removing, towards the end of his life and following a long friendship with Galileo, his skepticism about the Copernican theory. Galileo himself in a letter to Madame Christina of Lorraine in 1615 wrote that “altri matematici, i quali mossi da gli ultimi miei scoprimenti, hanno confessato essere necessario mutare la già concepita costituzione del mondo, non potendo in conto alcuno più sussistere”. Galilei continues that one of them was just Clavius, and the reference is certainly to the pitch of the Opera Mathematica Tomo III, p. 75, where as the result of the list of Galileo's discoveries, the Jesuit ends “Quae cum ita sint, videant Astronomi quo pacto orbes coelestes constituendi sint ut haec phaenomena possint salvari”. It 's an extraordinary moment in the history of cosmology and Church, which has marked the highlight of the heliocentric theory, which no major scientists, mathematicians and astronomers of the Society of Jesus, thought no more be able to object. As D'Elia notes (pp. 14-15): "The confirmation from him on the discoveries of the astronomer from Pisa and on the copernican interpretation he deduced, had definitive influence and perhaps even dominate, to ensure the discoveries the almost universal acceptance in the intellectual world, even if the disappearance of the old professor and that of several of his closest disciples could not prevent the ecclesiastical Authority’s precept of 1616 and the condemnation of 1633 ". Clavius had even got that Galileo was received at the Roman College, and was himself to "explain" to Cardinal Bellarmine scientific discoveries of Galilei. So while the academic and obviously ecclesiastical circles did not leave officially by the Aristotelian position, a scientist of them, for evidence and intellectual honesty, was preparing the way for the acceptance of Galileo's discoveries, and could do so given the authority of his position, achieved mainly thanks to its capital contribution asked by Gregory XIII to reform the Julian calendar, which led to the drafting of the Gregorian Calendar. Christoph Clavius (Bamberg 1538-1612) Jesuit and mathematician, astronomer, he entered the Jesuit College in Rome in '55 and then went to Coimbra, where he studied mathematics and science; back to Rome to study theology, he remained as a professor for fortyfive years. He became a pivotal figure for the general mathematical and scientific renewal that had in the Compagnia di Gesù a driving force, entering into the main controversies of the time, from the squaring of the circle to the comparison between the Ptolemaic and Copernican theories. He was the master, among other things, of Matteo Ricci, who with the help of his students, translated many works of Clavius in China, including the six books of Euclid's Elements (1574), which had several editions and updates; a work who had an enormous influence, providing a compendium of knowledge on geometry. His other important works were the Commentaries on Sphaera di Sacrobosco, a treatise on spheres’ geometry and astronomy, and work on the astrolabe. He determined the subsequent development of algebra. De Backer & Sommervogel, 2, cols. 1222–3 (with details of contents). DSB, 3, pp. 311–2. D’Elia, Pasquale, Galileo in Cina, Roma, Università Gregoriana, 1947. Jardine, Nicholas. "The Forging of Modern Realism: Clavius and Kepler against the Sceptics." Studies in History and Philosophy of Science 10 (1979): 141-73. Lattis, James M. Between Copernicus and Galileo: Christoph Clavius and the Collapse of Ptolemaic Cosmology. Chicago: University of Chicago Press, 1994 Proceedings of the Symposium on Christoph Clavius (1538–1612), July 21, 2005, University of Notre Dame, Edited by Dennis Snow. D. E. Mungello, Curious land. Jesuit accomodation and the Origins of Sinology, 1985, p. 26. Eberhard Knobloch, Christoph Clavius – Ein astronom zwischen Antike und Kopernikus”, in Cvortrage des ersten Symposions des Bamberger Arbeitskreises Antike Naturwissenschaft und ihre Rezeption, 113-40, Wiesbaden, 1990.‎

‎Colerus, Egmont‎

‎Vom Punkt zur vierten Dimension. Geometrie für jedermann.‎

‎Berlin und Wien, Karl H. Bischoff 1935. EA, 319 S. 8 , Opbd, mit vielen Illustr., eine allgemeinverständliche Darstellung. Ecken bestoßen, Rücken leicht aufgeplatzt, innen gut.‎

書籍販売業者の参照番号 : 1102