Tacquet, André – Cylindricorum et annularium libri, 1651 – BEIC 4259428

André Tacquet (23 June 1612

Antwerp Antwerp (; nl, Antwerpen ; french: Anvers ; es, Amberes) is the largest city in Belgium by area at and the capital of Antwerp Province in the Flemish Region. With a population of 520,504,

– 22 December 1660

Antwerp Antwerp (; nl, Antwerpen ; french: Anvers ; es, Amberes) is the largest city in Belgium by area at and the capital of Antwerp Province in the Flemish Region. With a population of 520,504,

, also referred to by his Latinized name Andrea Tacquet) was a

Brabantian Brabantian or Brabantish, also Brabantic or Brabantine ( nl, Brabants, Standard Dutch pronunciation: , ), is a dialect group of the Dutch language. It is named after the historical Duchy of Brabant, which corresponded mainly to the Dutch provi ...

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

and

Jesuit , image = Ihs-logo.svg , image_size = 175px , caption = ChristogramOfficial seal of the Jesuits , abbreviation = SJ , nickname = Jesuits , formation = , founders ...

priest A priest is a religious leader authorized to perform the sacred rituals of a religion, especially as a mediatory agent between humans and one or more deities. They also have the authority or power to administer religious rites; in partic ...

. Tacquet adhered to the methods of the geometry of Euclid and the philosophy of

Aristotle Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of ...

and opposed the

method of indivisibles In geometry, Cavalieri's principle, a modern implementation of the method of indivisibles, named after Bonaventura Cavalieri, is as follows: * 2-dimensional case: Suppose two regions in a plane are included between two parallel lines in that p ...

Life

André Tacquet was born in

Antwerp Antwerp (; nl, Antwerpen ; french: Anvers ; es, Amberes) is the largest city in Belgium by area at and the capital of Antwerp Province in the Flemish Region. With a population of 520,504,

, and entered the

Jesuit Order , image = Ihs-logo.svg , image_size = 175px , caption = ChristogramOfficial seal of the Jesuits , abbreviation = SJ , nickname = Jesuits , formation = , founders ...

in 1629. From 1631 to 1635, he studied

mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which ...

and

logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from prem ...

Leuven Leuven (, ) or Louvain (, , ; german: link=no, Löwen ) is the capital and largest city of the province of Flemish Brabant in the Flemish Region of Belgium. It is located about east of Brussels. The municipality itself comprises the historic c ...

. Two of his teachers were

Grégoire de Saint-Vincent Grégoire de Saint-Vincent - in latin : Gregorius a Sancto Vincentio, in dutch : Gregorius van St-Vincent - (8 September 1584 Bruges – 5 June 1667 Ghent) was a Flemish Jesuit and mathematician. He is remembered for his work on quadrature of th ...

and Francois d'Aguilon. Tacquet became a brilliant mathematician of international fame and his works were often reprinted and translated (into Italian and English). His most famous work, which influenced the thinking of

Blaise Pascal Blaise Pascal ( , , ; ; 19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, philosopher, and Catholic writer. He was a child prodigy who was educated by his father, a tax collector in Rouen. Pascal's earliest ...

and his contemporaries, is ''Cylindricorum et annularium'' (1651). In this book Tacquet presented how a moving point could generate a

curve In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight. Intuitively, a curve may be thought of as the trace left by a moving point. This is the definition that ...

and the theories of

area Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or ''plane area'' refers to the area of a shape or planar lamina, while '' surface area'' refers to the area of an op ...

and

volume Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch). ...

. He died in Antwerp. In honor of André Tacquet, his name has been given to a small crater in the northeast part of the Moon, near the southern edge of

Mare Serenitatis Mare Serenitatis (Latin ''serēnitātis'', the "Sea of Serenity") is a lunar mare located to the east of Mare Imbrium on the Moon. Its diameter is . Geology Mare Serenitatis is located within the Serenitatis basin, which is of the Nectarian epo ...

Opposition to the method of indivisibles

Tacquet claimed in his 1651 book ''Cylindricorum et annularium libri IV'' that :

he method of indivisibles He or HE may refer to: Language * He (pronoun), an English pronoun * He (kana), the romanization of the Japanese kana へ * He (letter), the fifth letter of many Semitic alphabets * He (Cyrillic), a letter of the Cyrillic script called ''He'' in ...

makes war upon geometry to such an extent, that if it is not to destroy it, it must itself be destroyed., p. 119 The

Jesuat The Jesuati (Jesuates) were a religious order founded by Giovanni Colombini of Siena in 1360. The order was initially called (from Latin: Apostolic Clerics of Saint Jerome) because of a special veneration for St. Jerome and the apostolic life ...

Stefano degli Angeli Stefano degli Angeli (Venice, September 23, 1623 – Padova, October 11, 1697) was an Italian mathematician, philosopher, and Jesuate. He was member of the Catholic Order of the Jesuats (Jesuati). In 1668 the order was suppressed by Pope Clemen ...

provided a detailed response, defending Cavalieri's method.

Works

* 1651: ''Cylindricorum et annularium libri IV'' (Antwerp
full text
* 1654: ''Elementa geometriae'' (Antwerp) * 1656: ''Arithmeticae theoria et praxis'' (Louvain) * 1659: ''Cylindricorum et annularium liber V'' (Antwerp
full text
* 1669: * 1725: ''Elementa Euclideae, geometriae'' (Amsterdam
full text

References

{{DEFAULTSORT:Tacquet, Andre 1612 births 1660 deaths Jesuits of the Spanish Netherlands Mathematicians of the Spanish Netherlands Jesuit scientists

Life

Opposition to the method of indivisibles

Works

See also

References