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Van Heuraet
Hendrik van Heuraet (1634 - 1660?), also known as Henrici van Heuraet, was a Dutch mathematician. He is noted as one of the founders of the integral, and author of ''Epistola de Transmutatione Curvarum Linearum in Rectus'' 'On the Transformation of Curves into Straight Lines''(1659). Life He was born in 1634 and became financially independent after he inherited his father's estate - who was a cloth merchant - when he was 21 years old. From 1653 he initially studied medicine at Leiden University, where he became acquainted with Frans van Schooten and later Johannes Hudde and Christiaan Huygens. He continued studying medicine, but decided to study mathematics privately with Van Schooten. In 1658 he and Hudde left for Saumur in France. From Saumur he wrote a letter to van Schooten entitled ''Epistola de transmutatione curvarum linearum in rectas'' (On the Transformation of Curves into Straight Lines). He returned to Leiden the next year as a physician. After this his trail is los ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Haarlem
Haarlem (; predecessor of ''Harlem'' in English language, English) is a List of cities in the Netherlands by province, city and Municipalities of the Netherlands, municipality in the Netherlands. It is the capital of the Provinces of the Netherlands, province of North Holland. Haarlem is situated at the northern edge of the Randstad, one of the Largest European cities and metropolitan areas, more populated metropolitan areas in Europe; it is also part of the Amsterdam metropolitan area. Haarlem had a population of in . Haarlem was granted city status or in 1245, although the first city walls were not built until 1270. The modern city encompasses the former municipality of Schoten, Netherlands, Schoten as well as parts that previously belonged to Bloemendaal and Heemstede. Apart from the city, the municipality of Haarlem also includes the western part of the village of Spaarndam. Newer sections of Spaarndam lie within the neighbouring municipality of Haarlemmermeer. Geography ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Physician
A physician, medical practitioner (British English), medical doctor, or simply doctor is a health professional who practices medicine, which is concerned with promoting, maintaining or restoring health through the Medical education, study, Medical diagnosis, diagnosis, prognosis and therapy, treatment of disease, injury, and other physical and mental impairments. Physicians may focus their practice on certain disease categories, types of patients, and methods of treatment—known as Specialty (medicine), specialities—or they may assume responsibility for the provision of continuing and comprehensive medical care to individuals, families, and communities—known as general practitioner, general practice. Medical practice properly requires both a detailed knowledge of the Discipline (academia), academic disciplines, such as anatomy and physiology, pathophysiology, underlying diseases, and their treatment, which is the science of medicine, and a decent Competence (human resources ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
17th-century Dutch Mathematicians
The 17th century lasted from January 1, 1601 (represented by the Roman numerals MDCI), to December 31, 1700 (MDCC). It falls into the early modern period of Europe and in that continent (whose impact on the world was increasing) was characterized by the Baroque cultural movement, the latter part of the Spanish Golden Age, the Dutch Golden Age, the French ''Grand Siècle'' dominated by Louis XIV, the Scientific Revolution, the world's first public company and megacorporation known as the Dutch East India Company, and according to some historians, the General Crisis. From the mid-17th century, European politics were increasingly dominated by the Kingdom of France of Louis XIV, where royal power was solidified domestically in the civil war of the Fronde. The semi-feudal territorial French nobility was weakened and subjugated to the power of an absolute monarchy through the reinvention of the Palace of Versailles from a hunting lodge to a gilded prison, in which a greatly expanded ro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1660s Deaths
Year 166 ( CLXVI) was a common year starting on Tuesday of the Julian calendar. At the time, it was known as the Year of the Consulship of Pudens and Pollio (or, less frequently, year 919 ''Ab urbe condita''). The denomination 166 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Dacia is invaded by barbarians. * Conflict erupts on the Danube frontier between Rome and the Germanic tribe of the Marcomanni. * Emperor Marcus Aurelius appoints his sons Commodus and Marcus Annius Verus as co-rulers (Caesar), while he and Lucius Verus travel to Germany. * End of the war with Parthia: The Parthians leave Armenia and eastern Mesopotamia, which both become Roman protectorates. * A plague (possibly small pox) comes from the East and spreads throughout the Roman Empire, lasting for roughly twenty years. * The Lombards invade Pannonia (modern Hung ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1633 Births
Events January–March * January 20 – Galileo Galilei, having been summoned to Rome on orders of Pope Urban VIII, leaves for Firenze, Florence for his journey. His carriage is halted at Ponte a Centino at the border of Tuscany, where he is quarantined for 22 days because of an outbreak of the plague. * February 6 – the formal coronation of Władysław IV Vasa as King of Poland takes place at the cathedral in Kraków. He had been elected as king on November 8. * February 9 – the Duchy of Hesse-Cassel captures Dorsten from the Electorate of Cologne without resistance. * February 13 ** Galileo Galilei arrives in Rome for his trial before the Inquisition. ** Fire engines are used for the first time in England in order to control and extinguish a fire that breaks out at London Bridge, but not before 43 houses are destroyed. "Fires, Great", in ''The Insurance Cyclopeadia: Being an Historical Treasury of Events and Circumstances Connected with the Orig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Semicubical Parabola
In mathematics, a cuspidal cubic or semicubical parabola is an algebraic plane curve that has an implicit equation of the form : y^2 - a^2 x^3 = 0 (with ) in some Cartesian coordinate system. Solving for leads to the ''explicit form'' : y = \pm a x^, which imply that every real point satisfies . The exponent explains the term ''semicubical parabola''. (A parabola can be described by the equation .) Solving the implicit equation for yields a second ''explicit form'' :x = \left(\frac\right)^. The parametric equation : \quad x = t^2, \quad y = a t^3 can also be deduced from the implicit equation by putting t = \frac. . The semicubical parabolas have a cuspidal singularity; hence the name of ''cuspidal cubic''. The arc length of the curve was calculated by the English mathematician William Neile and published in 1657 (see section History). Properties of semicubical parabolas Similarity Any semicubical parabola (t^2,at^3) is similar to the ''semicubical unit parabola'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arc Length
Arc length is the distance between two points along a section of a curve. Development of a formulation of arc length suitable for applications to mathematics and the sciences is a problem in vector calculus and in differential geometry. In the most basic formulation of arc length for a vector valued curve (thought of as the trajectory of a particle), the arc length is obtained by integrating speed, the magnitude of the velocity vector over the curve with respect to time. Thus the length of a continuously differentiable curve (x(t),y(t)), for a\le t\le b, in the Euclidean plane is given as the integral L = \int_a^b \sqrt\,dt, (because \sqrt is the magnitude of the velocity vector (x'(t),y'(t)), i.e., the particle's speed). The defining integral of arc length does not always have a closed-form expression, and numerical integration may be used instead to obtain numerical values of arc length. Determining the length of an irregular arc segment by approximating the arc segment as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calculus
Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns instantaneous Rate of change (mathematics), rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus. They make use of the fundamental notions of convergence (mathematics), convergence of infinite sequences and Series (mathematics), infinite series to a well-defined limit (mathematics), limit. It is the "mathematical backbone" for dealing with problems where variables change with time or another reference variable. Infinitesimal calculus was formulated separately ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conchoid (mathematics)
In geometry, a conchoid is a curve derived from a fixed point , another curve, and a length . It was invented by the ancient Greek mathematician Nicomedes. Description For every line through that intersects the given curve at the two points on the line which are from are on the conchoid. The conchoid is, therefore, the cissoid of the given curve and a circle of radius and center . They are called ''conchoids'' because the shape of their outer branches resembles conch shells. The simplest expression uses polar coordinates with at the origin. If :r=\alpha(\theta) expresses the given curve, then :r=\alpha(\theta)\pm d expresses the conchoid. If the curve is a line, then the conchoid is the ''conchoid of Nicomedes''. For instance, if the curve is the line , then the line's polar form is and therefore the conchoid can be expressed parametrically as :x=a \pm d \cos \theta,\, y=a \tan \theta \pm d \sin \theta. A limaçon is a conchoid with a circle as the given curve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inflection Point
In differential calculus and differential geometry, an inflection point, point of inflection, flex, or inflection (rarely inflexion) is a point on a smooth plane curve at which the curvature changes sign. In particular, in the case of the graph of a function, it is a point where the function changes from being concave (concave downward) to convex (concave upward), or vice versa. For the graph of a function of differentiability class (its first derivative , and its second derivative , exist and are continuous), the condition can also be used to find an inflection point since a point of must be passed to change from a positive value (concave upward) to a negative value (concave downward) or vice versa as is continuous; an inflection point of the curve is where and changes its sign at the point (from positive to negative or from negative to positive). A point where the second derivative vanishes but does not change its sign is sometimes called a point of undulation or und ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johan De Witt
Johan de Witt (24 September 1625 – 20 August 1672) was a Dutch statesman and mathematician who was a major political figure during the First Stadtholderless Period, when flourishing global trade in a period of rapid European colonial expansion made the Dutch a leading trading and seafaring power in Europe, commonly referred to as the Dutch Golden Age. De Witt was elected Grand Pensionary of Holland, and together with his uncle Cornelis de Graeff, he controlled the Dutch political system from around 1650 until the (Disaster Year) of 1672. This progressive cooperation between the two statesmen, and the consequent support of Amsterdam under the rule of De Graeff, was an important political axis that organized the political system within the republic. As a leading republican of the Dutch States Party, De Witt opposed the House of Orange-Nassau and the Orangists and preferred a shift of power from the central government to the '' regenten''. However, the Dutch Republic su ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
La Géométrie
''La Géométrie'' () was published in 1637 as an appendix to ''Discours de la méthode'' ('' Discourse on the Method''), written by René Descartes. In the ''Discourse'', Descartes presents his method for obtaining clarity on any subject. ''La Géométrie'' and two other appendices, also by Descartes, ''La Dioptrique'' (''Optics'') and ''Les Météores'' (''Meteorology''), were published with the ''Discourse'' to give examples of the kinds of successes he had achieved following his method (as well as, perhaps, considering the contemporary European social climate of intellectual competitiveness, to show off a bit to a wider audience). The work was the first to propose the idea of uniting algebra and geometry into a single subject and invented an algebraic geometry called analytic geometry, which involves reducing geometry to a form of arithmetic and algebra and translating geometric shapes into algebraic equations. For its time this was ground-breaking. It also contributed to t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
