Dinostratus Biography of dinostratus (390BC320BC) dinostratus is mentioned by Procluswho says (see for example 1 or 3)- http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Dinostratus.html
Extractions: Version for printing Dinostratus is mentioned by Proclus who says (see for example [1] or [3]):- Amyclas of Heraclea, one of the associates of Plato , and Menaechmus , a pupil of Eudoxus who had studied with Plato , and his brother Dinostratus made the whole of geometry still more perfect. It is usually claimed that Dinostratus used the quadratrix, discovered by Hippias , to solve the problem of squaring the circle Pappus tells us (see for example [1] or [3]):- For the squaring of the circle there was used by Dinostratus, Nicomedes and certain other later persons a certain curve which took its name from this property, for it is called by them square-forming in other words the quadratrix It appears from this quote that Hippias discovered the curve but that it was Dinostratus who was the first to use it to find a square equal in area to a given circle. Proclus , who claims to be quoting from Eudemus , writes (see [1]):- Nicomedes trisected any rectilinear angle by means of the conchoidal curves, of which he had handed down the origin, order, and properties, being himself the discoverer of their special characteristic. Others have done the same thing by means of the quadratrices of
Dinostratus Biography of dinostratus (BCBC) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
References For Dinostratus References for the biography of dinostratus. The URL of this page ishttp//wwwhistory.mcs.st-andrews.ac.uk/References/dinostratus.html. http://www-groups.dcs.st-and.ac.uk/~history/References/Dinostratus.html
History Of Mathematics Greece Menaechmus (c. 350) Theudius of Magnesia (c. 350?) Thymaridas (c. 350) dinostratus (c. 350) Speusippus (d. 339) Aristotle (384322) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Dinostratus dinostratus. Born about 390 BC in Greece Died about 320 BC. Show birthplacelocation dinostratus is mentioned by Proclus who says. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Dnstrts.htm
References For Dinostratus References for the biography of dinostratus http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
References For Dinostratus References for dinostratus. JOC/EFR December 1996 The URL of this page ishttp//wwwhistory.mcs.st-andrews.ac.uk/history/References/dinostratus.html. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ7E08.htm
Dinostratus Biography of dinostratus (390BC320BC) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Dinostratus dinostratus. Born about 390 BC in Greece Died about 320 BC. Version for printing.dinostratus is mentioned by Proclus who says (see for example 1 or 3) http://www-groups.dcs.st-andrews.ac.uk/history/Mathematicians/Dinostratus.html
Extractions: Version for printing Dinostratus is mentioned by Proclus who says (see for example [1] or [3]):- Amyclas of Heraclea, one of the associates of Plato , and Menaechmus , a pupil of Eudoxus who had studied with Plato , and his brother Dinostratus made the whole of geometry still more perfect. It is usually claimed that Dinostratus used the quadratrix, discovered by Hippias , to solve the problem of squaring the circle Pappus tells us (see for example [1] or [3]):- For the squaring of the circle there was used by Dinostratus, Nicomedes and certain other later persons a certain curve which took its name from this property, for it is called by them square-forming in other words the quadratrix It appears from this quote that Hippias discovered the curve but that it was Dinostratus who was the first to use it to find a square equal in area to a given circle. Proclus , who claims to be quoting from Eudemus , writes (see [1]):- Nicomedes trisected any rectilinear angle by means of the conchoidal curves, of which he had handed down the origin, order, and properties, being himself the discoverer of their special characteristic. Others have done the same thing by means of the quadratrices of
Academia History 1. dinostratus THE SQUARING OF THE CIRCLE dinostratus proved that the trisectrix of Hippias could be used to solve this problem http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
References For Dinostratus References for dinostratus. Version for printing The URL of this page ishttp//wwwhistory.mcs.st-andrews.ac.uk/References/dinostratus.html. http://www-groups.dcs.st-andrews.ac.uk/history/References/Dinostratus.html
Personal Names dinostratus search TmiWeb for this person dinostratus. More information.Biography by Baldi (from Cronica). Diedo, Vincenzo Table of Contents Dio(n) http://euromusicology.cs.uu.nl:6334/dynaweb/info/persinfo/persons/@Generic__Book
The Quadratrix The curve already appears in ancient Greek geometry. It's named after Hippias of Elis and was used by dinostratus and Nicomedes. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Personal Names search TmiWeb for this person dinostratus. More information. Biography byBaldi (from Cronica). search TmiWeb for this person Dio(n) Chrysostomos http://euromusicology.cs.uu.nl:6334/dynaweb/info/persinfo/persons/@Generic__Book
Extractions: Expand Search D Born: 1471; died: 1528. German painter and engraver. Mentioned in Baldi, Cronica Mentioned in Baldi, Cronica Born: c. 304; died: 384. Pope from 366, commissioned St. Jerome to revise the text of the Latin bible. Born: ; died: . Name variants: Born: ; died: . Pythagorean philosopher, living in Syracuse. Name variants: Lived: c. 600 BC. Biblical figure. Born: 1265; died: 1321. Italian poet and philosopher Purgatorio (better: entire divina commedia) Mentioned in Baldi, Cronica Legendary Sicilian shepherd, loved by the nymph Chloe. Dedicatee of Aaron's Lucidario Lived: c. 970 BC. Biblical figure, King of Israel. Renaissance composer?, mentioned in Aaron's Toscanello De Vitali, Bernardino
Dinostratus Earliest Known Uses of Some of the Words of Mathematics (Q) as a quadratrix when dinostratus used it for the quadrature of a circle (DSB,article dinostratus ; Webster s New International Dictionary, 1909). http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Dinostratus.html
Extractions: Version for printing Dinostratus is mentioned by Proclus who says (see for example [1] or [3]):- Amyclas of Heraclea, one of the associates of Plato , and Menaechmus , a pupil of Eudoxus who had studied with Plato , and his brother Dinostratus made the whole of geometry still more perfect. It is usually claimed that Dinostratus used the quadratrix, discovered by Hippias , to solve the problem of squaring the circle Pappus tells us (see for example [1] or [3]):- For the squaring of the circle there was used by Dinostratus, Nicomedes and certain other later persons a certain curve which took its name from this property, for it is called by them square-forming in other words the quadratrix It appears from this quote that Hippias discovered the curve but that it was Dinostratus who was the first to use it to find a square equal in area to a given circle. Proclus , who claims to be quoting from Eudemus , writes (see [1]):- Nicomedes trisected any rectilinear angle by means of the conchoidal curves, of which he had handed down the origin, order, and properties, being himself the discoverer of their special characteristic. Others have done the same thing by means of the quadratrices of
Hippias2.html dinostratus (circa 350 BC) was the first to use it for this purpose, according to Pappus (circa 300 AD). http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Academia dinostratus THE SQUARING OF THE CIRCLE. dinostratus proved that the trisectrixof Hippias could be used to solve this problem after discovering that the http://descartes.cnice.mecd.es/ingles/maths_workshop/A_history_of_Mathematics/Gr
Extractions: THE ACADEMY 1 History DINOSTRATUS THE SQUARING OF THE CIRCLE Dinostratus proved that the trisectrix of Hippias could be used to solve this problem after discovering that the side of the square is the mean proportional between the arc of the quarter circle AC and the segment DQ. There are various stages to the reductio ad absurdum proof which are illustrated in the following windows: Let the circle with centre D and radius DR intersect the trisectrix at S and the side of the square at T. Draw the perpendicular SU to side DC from point S. As the arcs are proportional to the radii then AC/AB=TR/DR (2) From (1) and (2) it must follow that TR=AB (3) S is the point on the trisectrix which satisfies TR/SR=AB/SU (4) From (3) and (4) it follows that SR=SU However, this is absurd as the perpendicular is the shortest distance between a point and a line. Therefore, DR cannot be longer than DQ. 2.- We repeat this way of reasoning with the hypothesis
Assignment 19 Great mathematicians whose works were revived by Pappus include Euclid, Archimedes, Apollonius, Nicomedes, and dinostratus. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
