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         Mercator Nicolaus:     more detail
  1. Logarithmotechnia: Sive Methodus Construendi Logarithmos (1668) (Latin Edition) by Nicolaus Mercator, 2010-09-10
  2. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi Et Proprio (1676) (Latin Edition) by Nicolaus Mercator, 2009-07-17
  3. Logarithmotechnia: Sive Methodus Construendi Logarithmos (1668) (Latin Edition) by Nicolaus Mercator, 2010-09-10
  4. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi Et Proprio (1676) (Latin Edition) by Nicolaus Mercator, 2010-09-10
  5. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi Et Proprio (1676) (Latin Edition) by Nicolaus Mercator, 2010-09-10
  6. In Mathematical Circles : A Selection of Mathematical Stories and Anecdotes Quadrants III and IV by Howard W. Eves, 1969

41. Math History - Baroque Era
1651, nicolaus mercator publishes three works on trigonometry and astronomy,Trigonometria sphaericorum logarithmica, Cosmographia and Astronomica sphaerica
http://lahabra.seniorhigh.net/pages/teachers/pages/math/timeline/mBaroque.html

Math History Timeline Baroque Era
1600-1700 A.D.
Math History
Prehistory and Ancient Times
Middle Ages Renaissance Reformation ... 20th Century ... non-Math History
Prehistory and Ancient Times
Middle Ages Renaissance Reformation ... External Resources Kepler publishes Astronomia nova (New Astronomy). The work contains Kepler's first and second law on elliptical orbits, but only verified for the planet Mars. Napier publishes his work on logarithms in Mirifici logarithmorum canonis descriptio (Description of the Marvellous Rule of Logarithms). Kepler publishes Nova stereometria doliorum vinarorum (Solid Geometry of a Wine Barrel), an investigation of the capacity of casks, surface areas, and conic sections. He first had the idea at his marriage celebrations in 1613. His methods are early uses of the calculus. Briggs publishes Logarithmorum chilias prima (Logarithms of Numbers from 1 to 1,000) which introduces logarithms to the base 10.

42. Publikationsliste - Kirsti Andersen
“egypten matematik”; “Fermat, Pierre de”; “fluxionsregning”; “l’Hospital,Guillaume François Antoine de”; “mercator, nicolaus”; Mohr, Georg”; Moivre,
http://www.ivh.au.dk/printer/personale/kirsti_andersen/publikationsliste.dk.html
Publikationsliste - Kirsti Andersen
Videnskabelige publikationer
“Roberval’s Method of Tangents”, Centaurus “Roberval’s Comparison of the Arclength of a Spiral and a Parabola, Centaurus “A note on Bartholin and the Problem of Debeaune”, Centaurus “An Impression of Mathematics in Denmark in the Period 1600-1800”, Cen­taurus, “Matematikken i Danmark 1479-1800”, Køben­havns Universitet 1479-1979 , bind XII, Køben­havn 1983, 113-156. “The Mathematical Technique in Fermat’s Deduction of the Law of Refraction”, Historia Mathematica “Some Observations Concerning Mathematicians’ Treatment of Perspective Constructions in the 17th and 18th Centuries”, Mathemata, Festschrift für Helmuth Gericke , ed. M. Folkerts et al., Stuttgart 1984, 409-425. “Cavalieri’s Method of Indivisibles”, Archive for History of Exact Sciences Kirsti Andersen and Henrik Meyer, “Georg Mohr’s Three Books and the Gegen­übung auf Euclidis Curiosi Centauru s, “The Method of Indivisibles: Changing Understand­ings”, Studia Leib­nitiana, Sonderheft 14 (1986), 14-25. “The Problems of Scaling and Choosing Parameters in Perspective Construc­tions, Particularly in the One by Alberti”

43. Full Alphabetical Index
Translate this page mercator, Gerardus (442*) mercator, nicolaus (279) Merrifield, Charles (68*)Mersenne, Marin (518*) Mertens, Franz (64*) Meshchersky, Ivan (61)
http://www.maththinking.com/boat/mathematicians.html
Full Alphabetical Index
Click below to go to one of the separate alphabetical indexes A B C D ... XYZ The number of words in the biography is given in brackets. A * indicates that there is a portrait.
A
Abbe , Ernst (602*)
Abel
, Niels Henrik (2899*)
Abraham
bar Hiyya (641)
Abraham, Max

Abu Kamil
Shuja (1012)
Abu Jafar

Abu'l-Wafa
al-Buzjani (1115)
Ackermann
, Wilhelm (205)
Adams, John Couch

Adams, J Frank

Adelard
of Bath (1008) Adler , August (114) Adrain , Robert (79*) Adrianus , Romanus (419) Aepinus , Franz (124) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (313*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

44. Gale-Edit - Dictionary Of Science Biography - Scientists By Name
Nikolay Aleksandrovich; Menuret de Chambaud, Jean Jacques; Meray, HuguesCharles Robert; Mercati, Michele; mercator, Gerardus; mercator, nicolaus
http://www.gale-edit.com/ndsb/scientists.htm

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About Charles Scribner's Sons
... Z A
  • Abailard, Pierre Abano, Pietro Abano, Pietro d' 'Abbas Ibn Firnas Abbe, Cleveland Abbe, Ernst Abel, John Jacob Abel, Niels Henrik Abel, Othenio Abetti, Antonio Abich, Otto Hermann Wilhelm Abney, William de Wiveleslie Abraham Bar Hiyya Ha-Nasi Abraham, Max Abreu, Aleixo Abreu, Aleixo de Abu Hamid al-Gharnati Abu Kamil Shuja' Ibn Aslam Ibn Muhammad Ibn Shuja' Abu Ma'shar al-Balkhi, Ja'far Ibn Muhammad Abu'l-Barakat al-Baghdadi, Hibat Allah Abu'l-Fida' Isma'il Ibn 'Ali Ibn Mahmud Ibn . . . Ayyub, 'Imad al-Din Abu'l-Wafa' al-Buzjani, Muhammad Ibn Muhammad ~Ibn Yahya Ibn Isma'il Ibn al- 'Abbas Abu'l-Wafa' al-Buzjani, Muhammad Ibn Muhammad Ibn Yahya Ibn Isma'il Ibn al- 'Abbas Accum, Friedrich Christian Achard, Franz Karl Acharius, Erik Achillini, Alessandro Acosta, Cristobal Acosta, Jose Acosta, Jose de Acyuta Pisarati Adam of Bodenstein Adams, Frank Dawson Adams, John Couch Adams, Leason Heberling Adams, Roger Adams, Walter Sydney Adanson, Michel Addison, Thomas Adelard of Bath Adet, Pierre-Auguste

45. Leibniz
Further, he used the method which nicolaus mercator had written the infiniteseries for tex2html_wrap_inline241 to solve the hyperbole quadrature problem.
http://math.berkeley.edu/~robin/Leibniz/work.html

Short Biography
Early Journey in Mathematics Bibliography Back to the front page
Work
Jimmy Iskandar
David Eugene Smith says Clearly we are indebted to him for the following contributions to the development of calculus:
  • He invented a convenient symbolism.
  • He enunciated definite rules of procedure which he called algorithms.
  • He realized and taught that quadratures constitute only a special case of integration; or, as he then called it, the inverse method of tangents.
  • He represented transcendental lines by means of differential equations (619). However, only his first great achievement in mathematics, which coincides with point 3 above, will be discussed here by employing the same ideas but using a modern symbolism, especially the notations for differential and integral that he invented later (note: most of the calculations performed here are adopted from the Ranjan Roy's article, and to know more about this article, please consult the bibliography at the back). His first great achievement was the discovery of the series for , which took place in Paris in 1674 just after two years of his serious study in mathematics. The series for
  • 46. Biografisk Register
    Translate this page mercator, nicolaus (1619-87) Mersenne, Marin (1588-1648) Mertens, Franz (1840-1927)Milin, IM Minkowsli, Hermann (1864-1909)
    http://www.geocities.com/CapeCanaveral/Hangar/3736/biografi.htm
    Biografisk register
    Matematikerne er ordnet alfabetisk på bakgrunn av etternavn. Linker angir at personen har en egen artikkel her. Fødsels- og dødsår oppgis der dette har vært tilgjengelig.
    Abel, Niels Henrik
    Abu Kamil (ca. 850-930)
    Ackermann, Wilhelm (1896-1962)
    Adelard fra Bath (1075-1160)
    Agnesi, Maria G. (1718-99)
    al-Karaji (rundt 1000)
    al-Khwarizmi, Abu Abd-Allah Ibn Musa (ca. 790-850)
    Anaximander (610-547 f.Kr.)
    Apollonis fra Perga (ca. 262-190 f.Kr.)
    Appel, Kenneth
    Archytas fra Taras (ca. 428-350 f.Kr.) Argand, Jean Robert (1768-1822) Aristoteles (384-322 f.Kr.) Arkimedes (287-212 f.Kr.) Arnauld, Antoine (1612-94) Aryabhata (476-550) Aschbacher, Michael Babbage, Charles (1792-1871) Bachmann, Paul Gustav (1837-1920) Bacon, Francis (1561-1626) Baker, Alan (1939-) Ball, Walter W. R. (1892-1945) Banach, Stéfan (1892-1945) Banneker, Benjamin Berkeley, George (1658-1753) Bernoulli, Jacques (1654-1705) Bernoulli, Jean (1667-1748) Bernstein, Felix (1878-1956) Bertrand, Joseph Louis Francois (1822-1900) Bharati Krsna Tirthaji, Sri (1884-1960)

    47. Earliest Known Uses Of Some Of The Words Of Mathematics (N)
    Natural logarithm appears in 1668 in Logarithmotechnia by nicolaus mercator.Natural logarithm was used by De Moivre in Phil. Trans.
    http://members.aol.com/jeff570/n.html
    Earliest Known Uses of Some of the Words of Mathematics (N)
    Last revision: July 28, 2005 N DIMENSIONS is found in 1843 in the title "Chapters in the Analytic Geometry of (n) Dimensions," by Arthur Cayley. The paper appeared in the Cambridge Mathematical Journal [University of Michigan Historical Math Collection]. N-GON is found in 1867-78 in J. Wolstenholme, Math. Probl. (ed. 2): "In the moving circle is described a regular m-gon. .. The same epicycloid may also be generated by the corners of a regular n-gon" (OED2). N-VARIATE is found in J. W. Mauchly, "Significance test for sphericity of a normal n-variate distribution," Ann. Math. Statist. NABLA (as a name for the Hamiltonian operator , also called DEL Nabla , according to Webster's Third New International Dictionary , is "an ancient stringed instrument probably like a Hebrew harp of 10 or 12 strings...." Tait used the symbol for "the very singular operator devised by Hamilton" in An Elementary Treatise on Quaternions (1867, p. 221). Tait made very effective use of the operator in a series of papers, including "On Green's and other allied theorems" (1870) Scientific Papers I,

    48. Dr. Wolfgang Scharfe
    and related to nicolaus Cusanus respectively Francesco Roselli give evidenceabout. Contrary to Zell, mercator at that time - and Sgrooten the
    http://lazarus.elte.hu/gb/imcos97/scharfe1.htm
    1. From the Ulm Ptolemy edition to the first printed map of Brandenburg (1585) The Ulm edition of Ptolemy in 1482 (27 TA + 5 TM) can be regarded as a benchmark of modern cartography north of the Alps, just having pushed the change from "Tabulae antiquae" to "Tabulae modernae". The picture of Germany contained in the 1482 Ptolemy still mirrored the image of Antiquity showing rivers, mountains and tribes of that time, but not topographic elements of the 15th century. Nevertheless, by the spirit of the Renaissance obviously there had been created modern cartographic images already before 1482 which the printed maps of Central Europe published in 1491 respectively about 1492 and related to Nicolaus Cusanus respectively Francesco Roselli give evidence about. The common sources of both maps probably can be traced back to about 1437/39. Unlike Ptolemy's pictures, the maps linked with Cusanus and Roselli contain the first contemporary urban settlements in the Brandenburg area, even if only a few of them: we can find eight towns in the Cusanus map and additional two towns in the map of Roselli. Except one, all towns are situated at or rather close to one of the major rivers as Elbe, Havel or Oder which seem to reflect relations to the images of Germany contained in the Catalan Atlas dated 1375 and the portulan of Angelo Dalorto of 1339. Although both maps very probably are based on a set of common source elements the respective positions of the settlements as well as the hydrographic lines considerably differ from each other. Compared to the Cusanus map the toponyms of the Roselli map increased numerically, but decreased in spelling, whereas the hydrography of the Roselli map was clearly improved by leaving out a huge phantom river which the Cusanus map presented only.

    49. Historia Matematica Mailing List Archive: Re: [HM] Grebe
    for nicolaus mercator, Edmond Halley, George Berkeley, Charles Bossut, CharlesDodgson (= Lewis Carroll), Charles Hermite, Kurt Go del, William Feller,
    http://sunsite.utk.edu/math_archives/.http/hypermail/historia/dec99/0105.html
    Re: [HM] Grebe
    Julio Gonzalez Cabillon jgc@adinet.com.uy
    Mon, 13 Dec 1999 21:20:43 -0200
    Re: "I am wondering who was Grebe of the Grebe Point."
    Dear Antreas,
    For what it is worth, let me say that Ernst Wilhelm Grebe was a
    nasium_] at Kassel, and was born on August 30, 1804 same birth
    date (Aug. 30) for Joseph Serret, Carle Runge, Olga Taussky-Todd,
    among others.
    Ernst Grebe is remembered only for a thoughtful paper appeared in
    1847 [2] concerning some interesting properties of the triangle:
    If on each side of a given (arbitrary) triangle ABC one describes
    a square ( exterior to ABC ), then the extended outside sides of the squares, thus obtained, form a similar triangle A'B'C'. The

    50. Physics Time-Line To 1799
    1514 nicolaus Copernicus, writes about heliocentric theory but does not yet publish 1546 Gerardus mercator, Magnetic pole of Earth
    http://www.hannibal.cnyric.org/TeacherWebs/Cburch/activityfiles/abbrevPhysicsTim
    Project
    Overview Student Examples Scoring Rubric Research List Presentation
    rubric
    Physics Time-Line to 1799
    Nicolaus Copernicus Thales of Miletus , prediction of an eclipse
    Thales of Miletus , birth of scientific thought
    Thales of Miletus , water as the basic element
    Thales of Miletus , magnets and attraction to rubbed amber
    Thales of Miletus , first cosmologies
    Pythagoras , understanding the world and mathematics
    Pythagoreans , Earth is a sphere
    Oenopides , finds angle of Earth's tilt to ecliptic
    Heraclitus , fire as primary substance Parmenides , Earth is a sphere Anaxagoras , materials are made of "seeds" (atoms) Anaxagoras , sun, moon and stars are made of same material as Earth Anaxagoras , sun as a hot glowing rock Philolaus , Earth Rotates Zeno , paradoxes of discrete or continuous space and time Leucippus , indivisble atoms Democritus , Atomic theory Plato , theory of knowledge Plato , ether as a fifth element Democritus , Milky Way is composed of many stars Aristotle , Free falling bodies accelerate but heavier bodies fall faster Heracleides , Rotation of the Earth Aristotle , Earth is a sphere Aristotle , Space is continuous and always filled with matter Strato , experiments with falling bodies and levers Aristotle , physics and metaphysics Aristotle , geocentric cosmology Euclid , elements of mathematics Archimedes , Principle of levers and compound pulley Archimedes , Archimedes' principle of hydrostatics Eratosthenes , Measurement of Earth's circumference Chinese , record of sun spots Hero of Alexandria , expansion of air with heat

    51. African Maps
    1482, nicolaus Germanus Donnus, Ulm. For many Europeans in the fifteenth Ortelius, mercator, and Blaeu are all representatives of this golden age of
    http://www.library.yale.edu/MapColl/afexhib.html
    The Eye of the Beholder:
    Africa Through Western Eyes
    Exploration of the Unknown
    The Ptolemaic World View
    1482, Nicolaus Germanus Donnus, Ulm
    For many Europeans in the fifteenth century, the world looked much the same as it had to Ptolemy in the second century. His work on geography was the basis for most scholarship throughout the Middle Ages and into the Renaissance, before exploration and imprved technology began to provide better informaiton. This particular map is a reproduction of one from an edition of Ptolemy's Geography , published in 1482. In the Ptolemaic world view, Africa, Antarctica, and part of Asia were all joined, forming a large southern land mass marked simply "Terra Incognito." The exact shape of Africa was not known, and the northern part was depicted as much broader and squarer than it actually is. The source of the Nile River was also not known, and was not discovered until the late nineteenth century. But there were two major theories about it, both of which are shown here. The first was that the source lay in the Mountains of the Moon, a mountain range far to the south which had never been fully explored due to its challenging nature. The other main theory was that there were two lakes from which the Nile's two branches flowed. Over the next centuries, both of these theories were used by European mapmakers, and sometimes even combined, as in this map.

    52. CELL: Early Letters Of The Royal Society,Biographical Index
    nicolaus mercator. 161987. Danish astronomer and mathematician. He arrived inEngland sometime before 1660 and in 1666 was elected a member of the Royal
    http://www.livesandletters.ac.uk/rs/pilot/ref/biographies.html
    Biographical Index
    Mr Acton Member of Dublin Philosophical Society in 1685 EL.A.30 Mr Aland Of Waterford - correspondent of the Dublin Philosophical Society on subject of longitude in 1685. EL.A.28 EL.A.29 Mr Anderson Published in Philosophical Transactions on subject of gunnery in 1687. EL.A.39 St George Ashe Son of Thomas Ashe of county Meath, Ireland, St George Ashe was educated at Trinity College, Ireland and became a fellow there in 1679. In 1685 he became Donegal Lecturer and Professor of Mathematics at Trinity, and in the same year he took over as secretary to the Dublin Philosophical Society. He fled to England during the reign of James II. In 1689 he became chaplain to Lord Paget, William III's ambassador to Vienna and was also elected to membership of the Royal Society. In 1692 he returned to Trinity as Provost and three years later became Bishop of Cloyne. He was subsequently Bishop of Clogher (1697-1717) and shortly before his death became Bishop of Derry. EL.A.28

    53. Teoria De Les Escales Musicals
    I la de 53 dóna lloc a una unitat de compte anomenada coma de mercator. William Holder (16141696) il alemany nicolaus Kauffmann mercator (1620-1687),
    http://www.webpersonal.net/avl3119/mus/25.htm
    25. Temperaments uniformes
    Concepte de temperament uniforme
    Càlculs

    Algunes escales uniformes notables

    Les comes de Mercator
    ...
    Valors dels intervals en comes de Mercator
    Concepte de temperament uniforme
    La idea de dividir l'octava en un nombre d'intervals iguals ja fou suggerida pel filòsof grec Aristoxenos. També Zarlino, conscient de les limitacions del seu sistema, va advocar per la mateixa idea. Els diversos temperaments no uniformes es poden considerar tempteigs que s'hi acostaven. La idea bàsica dels temperaments uniformes de les escales amb octava consisteix a establir intervals elementals de la forma 1/n on n és el nombre de notes de l'escala. Els intervals corresponents als diversos graus g d'una escala uniforme d' n graus són donats per l'expressió i = 2 g/n Si expressem els intervals en cents , el valor de l'interval elemental és 1200 / n i el de cada interval i c = 1200 · g / n El problema invers consisteix a calcular el grau g a partir de les altres variables. Aplicant logaritmes a la segona de les igualtats anteriors tenim log i = (g/n) log 2 d'on g = n ·log i / log 2 I partint de la quarta fórmula tenim que g = n · i c Cal notar que el valor de g ha d'ésser, per definició de grau d'una escala, un valor enter, de manera que els valors donats per les dues darreres fórmules s'han d'arrodonir, i d'aquest arrodoniment sorgeix un error. Òbviament una escala òptima serà aquella en què els intervals desitjats es produeixin amb el menor error possible.

    54. Unbenanntes Dokument
    nicolaus mercator (1620?1687). - In Oxford Dictionary of National Bio-graphy, Bd.37, S. 842-843. Oxford University Press Oxford.
    http://www.jungius-gesellschaft.de/SEITEN/vo2004/voscriba.html
    Scriba, Christoph J. A
    - (mit DAUBEN, J. W.) KURT REINHARD BIERMANN, 1919-2002. - Isis 95, S. 94-95.
    - ADOLF PRAG, 1906-2004. - Historia Mathematica 31, S. 409-413. B
    - JOHN COLLINS (1625-1683). - In: Oxford Dictionary of National Biography, Bd. 12, S. 711-712. Oxford University Press: Oxford.
    - NICOLAUS MERCATOR (1620?-1687). - In: Oxford Dictionary of National Bio-graphy, Bd. 37, S. 842-843. Oxford University Press: Oxford.
    - JOHN PELL (1611-1685). - In: Oxford Dictionary of National Biography, Bd. 43, S. 482-483. Oxford University Press: Oxford.
    - (mit SCHREIBER, P.) 5000 Jahre Geometrie. Geschichte, Kulturen, Menschen. 2. erweiterte Auflage, xiv, 629 Seiten, 220 Abb., davon 44 in Farbe. Springer: Berlin, Heidelberg, New York. ISBN 3-540-22471-8.

    55. Isaac Barrow's Fundamental Theorem
    the DanishEnglish nicolaus mercator ( not Gerard, the cartographer) (16201687)and the Scots John Napier (15501617) and James Gregory (16381675)
    http://www.maths.uwa.edu.au/~schultz/3M3/L18Barrow.html
    Lecture 18 Barrow's proof of the fundamental theorem of calculus.
    Background: Calculus between Fermat and Newton.
    The historical order of the five essential steps in the development of Calculus are almost the exact opposite of the order in which we teach them::
  • Areas of figures and volumes of solids of revolution. Tangents to curves Power Series The Fundamental Theorem of Calculus, both INT a b f'(x) dx = f(b) - f(a) and d/dx INT a x f(t) dt = f(x). Limits.
  • We have seen how by 1650 fundamental discoveries were made in 1. and 2. by Descartes, Fermat, de Roberval and others we have not studied, including Cavalieri, Torricelli and Pascal. As for series, recall that Archimedes used a geometric series in his quadrature of the parabola. Geometric series in general were known to the Indians and other types of series were discovered by the English John Wallis (16161703), the DanishEnglish Nicolaus Mercator ( not Gerard, the cartographer) (16201687) and the Scots John Napier (15501617) and James Gregory (16381675). For example, the latter had a geometric derivation of the arctan series arctan x = x - x /3 + x /5 - ... from which pi/4 = 1 - 1/3 + 1/5 - 1/7 +...

    56. McLaurin And Brooke Taylor
    nicolaus mercator (16201687) and William Brouncker (16201684) had done thesame for ln(1+x), and these were also known to Newton.
    http://www.maths.uwa.edu.au/~schultz/3M3/L22McLaurin.html
    Lecture 22: Colin MacLaurin and Brooke Taylor
    Background to the text
    Colin Maclaurin (16981746), Professor of Mathematics in Aberdeen at the age of 19 and in Edinburgh at 25 on the recommendation of Newton, was the foremost British mathematician in the generation following Newton. He did important work in Euclidean geometry, algebraic geometry (properties of curves described by rational functions in two or three variables), and of course series. The Maclaurin series itself had already been published by Brook Taylor, as well as James Gregory, Jean Bernoulli and James Stirling. However Maclaurin's method of obtaining the coefficients was original. Some of his most important work was in solutions of linear systems, including determinants and Cramer's Rule (before Cramer). We now consider his response to Berkeley, for which he wrote his Treatise on Fluxions . This is by far the most satisfactory of many attempts to refute Berkeley in the period 1740-1750. MacLaurin's aim is to demonstrate the validity of Newton's Method of Fluxions by the rigorous mathods of geometry. In fact, he tries to replace all arguments involving infinitesimals by the method of exhaustion. The extract we study concerns the fluxion of A when A is a uniformly flowing point with fluxion a. It relies on a previous section of the treatise in which he had shown

    57. 1558Dee
    Translate this page Da John Dee nicht - wie ?später Gerhard mercator - gefragt hat ZB war Gerhardmercators holsteiner Namensvetter nicolaus mercator 1666ff an dieser
    http://www.wilhelmkruecken.de/jdee/1558Dee.htm
    Im Vorwort des "Englischen Euklid" von schreibt John Dee Borough das Segeln mithilfe des "Paradoxall Compass" - invented by me in 1557 - gelehrt habe.
    In der folgenden Abhandlung PARADOXALL COMPAS versuche ich, den Canon Gubernauticus , die Funktionstafel der sieben Rhumbenwege des John Dee , zu rekonstruieren.
    John Dee - Canon Gubernauticus
    An Arithmeticall Resolution of the Paradoxall Compas
    Ashmolean Manuskript 242 fols. 139r-154v (Bodleiana, University Oxford) Zusammenfassung Motto Johannes Buridan: Quaestiones super De caelo II Tunc diceremus quod convenientius est salvare apparentias per pauca quam per multa, si hoc aeque bene fieri.
    Pedro Nunes ) oder Gerhard Mercator paradoxer weise keine Geraden, sondern zweifach sind - Snellius
    Noch war E.G.R.Taylor John Dee "erfunden" hatte und den er zum ersten Mal in seinem Vorwort zum "Englischen Euklid" von Billingsley 1570 Instrument sein, in das Dee E.G.R.Taylor 1963 den " Canon gubernauticus " des John Dee 50 ynches diameter
    in der Gestalt der Tripel
    tabelliert und somit nichts anderes als eine "klassische" Strichtafel darstellt.
    Die Tafelwerte sind von Dee
    • John Dee mit den gleichen elementaren mathematischen Hilfsmitteln gerechnet hat, mit denen

    58. Octavo Store: Product Detail
    mercator Atlas. 10. Vesalius Fabrica. Octavo Edition Copernicus, nicolaus DeRevolutionibus Orbium Coelestium 1891788-14-0, 1 CD, US $40.00
    http://octavo.com/store/product.php?product=coprev-ode

    59. Octavo Store: Product Detail
    mercator Atlas. 10. Vesalius Fabrica. Reseach Facsimile Copernicus, nicolaus DeRevolutionibus Orbium Coelestium 159110-023-2, 5 CDs, US $450.00
    http://octavo.com/store/product.php?product=coprev-orf

    60. Dundee Central Library - Ivory Collection
    mercator, nicolaus Institutionum astronomicarum, libri duo de motu astrorumcommuni et proprio, secundum hypotheses vetorum et recentiorum praecipuas.
    http://www.dundeecity.gov.uk/centlib/ivory/ivorycat.htm
    Dundee Central Library - Ivory Collection
    Academie Royale des Sciences et Belles Lettres de Prusse
    Dissertations sur la theorie des cometes qui ont concouru au prix propose par l'academie. Utrecht: Barthelemy Wild, 1780
    Sir James Ivory Collection
    pp. 239 + VIII + 55
    Adhemar, Joseph Alphonse
    Cours de mathematiques a l'usage de l'ingenieur civil. Part I Arithmetique; Part II Geometrie descriptive. Paris: Carilian-Goeury, 1832
    Sir James Ivory Collection
    3 vols bound in one. pp. 80 + 160 + 30.
    Adhemar, Joseph Alphonse
    Cours de mathematiques a l'usage de l'ingenieur civil. "Geometrie descriptive" planches. Paris: Carilian-Goeury, n.d.
    Sir James Ivory Collection
    pp. 44. imp. 4to. missing. Airy, G. B. Gravitation: an elementary explanation of the principle perturbations in the solar system. London: Charles Knight, 1834 Sir James Ivory Collection pp. XXIII + 215. Alembert, Jean-le-Rond-d' Essai d'une nouvelle theorie de la resistance des fluides. Paris: David, 1752

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