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André Tacquet (23 June 1612 Antwerp – 22 December 1660 Antwerp, also referred to by his Latinized name Andrea Tacquet) was a brabantian mathematician and Jesuit Priest. In accordance with Jesuit doctrine as layed down by Clavius, Tacquet adhered to the methods of the geometry of Euclid and the philosophy of Aristotle and opposed the method of Indivisibles.
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History of the Jesuits
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 and his contemporaries, is Cylindricorum et annularium (1651). In this book Tacquet presented how a moving point could generate a curve and the theories of area and volume.
He died in Antwerp.
Opposition to the method of indivisibles
Tacquet claimed in his 1651 book Cylindricorum et annularium libri IV that
- [the method of indivisibles] makes war upon geometry to such an extent, that if it is not to destroy it, it must itself be destroyed .
- Opera Omnia Cylindricorum et Annularium (Antwerp, 1651)
- Elementa Geometriae (Antwerp, 1654)
- Arithmeticae Theoria et Praxis (Louvain 1656)
- Cylindricorum et annularium liber V, (Antwerp 1659) full text
- Elementa Euclideae, geometriae (Amsterdam 1725) full text
- O'Connor, John J.; Robertson, Edmund F., "Andrea Tacquet", MacTutor History of Mathematics archive, University of St Andrews
- Amir Alexander (2014). Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World. Scientific American / Farrar, Straus and Giroux. ISBN 978-0374176815., p. 119