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 Dinostratus:     more detail

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1. Earliest Known Uses Of Some Of The Words Of Mathematics (Q)
but it became known as a quadratrix when dinostratus used it for the quadrature of a circle (DSB, article "dinostratus"; Webster's New International Dictionary, 1909
http://members.aol.com/jeff570/q.html

Extractions: Earliest Known Uses of Some of the Words of Mathematics (Q) Last revision: May 20, 2004 Q. E. D. Euclid (about 300 B. C.) concluded his proofs with hoper edei deiksai, which Medieval geometers translated as quod erat demonstrandum ("that which was to be proven"). According to Veronika Oberparleiter, the earliest known use in print of the phrase quod erat demonstrandum in a Euclid translation appears in the translation by Bartholemew Zamberti published in Venice in 1505. In Dialogues Concerning Two New Sciences (1638) in Latin Galileo used quod erat intentum, quod erat demonstrandum, quod erat probandum, quod erat ostendendum, quod erat faciendum, quod erat determinandum, and quod erat propositum. In 1665 Benedictus de Spinoza (1632-1677) wrote a treatise on ethics, Ethica More Geometrico Demonstrata, in which he proved various moral propositions in a geometric manner. He wrote the abbreviation Q. E. D., as a seal upon his proof of each ethical proposition. Isaac Barrow used quod erat demonstrandum, quod erat faciendum (Q. E. F.), quod fieri nequit (Q. F. N.), and quod est absurdum (Q. E. A.). Isaac Newton used the abbreviation Q. E. D.

courbe suivante. courbe précédente. courbes 2D. courbes 3D. surfaces. fractals. polyèdres. QUADRATRICE DE DINOSTRATE. dinostratus' (or Hippias') quadratrix, Quadratrix des dinostratus (oder des Hippias)
http://www.mathcurve.com/courbes2d/dinostrate/dinostrate.shtml

3. History Of Mathematics: Chronology Of Mathematicians
350?) Thymaridas (c. 350) dinostratus (fl. c. 350) *SB
http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html

Extractions: Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below Ahmes (c. 1650 B.C.E.) *MT Baudhayana (c. 700) Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB

4. Greek Index
Chrysippus. Cleomedes. Conon. Democritus. dinostratus. Diocles. Dionysodorus. Diophantus. Domninus Apollonius. Archimedes. Bryson. Carpus. dinostratus. Hippias. Hippocrates. Nicomedes. Oenopides
http://stm21645-01.k12.fsu.edu/Greek_Index.htm

5. Dinostratus
dinostratus. Born about 390 BC in Greece Died about 320 BC. dinostratusis mentioned by Proclus who says (see for example 1 or 3)
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Dinostratus.html

Extractions: 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

6. Dinostratus
Biography of dinostratus (390BC320BC) dinostratus. Born about 390 BC in Greece It is usually claimed that dinostratus used the quadratrix, discovered by Hippias, to solve the problem of squaring the
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Dinostratus.html

Extractions: 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

7. References For Dinostratus
http://www-gap.dcs.st-and.ac.uk/~history/References/Dinostratus.html

8. Dinostratus
dinostratus. Born about 390 BC in Greece Died about 320 BC. Showbirthplace location dinostratus is mentioned by Proclus who says.
http://sfabel.tripod.com/mathematik/database/Dinostratus.html

Extractions: Previous (Alphabetically) Next Welcome page Dinostratus is mentioned by Proclus who says 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. Dinostratus used the quadratrix, discovered by Hippias , to solve the problem of squaring the circle. Pappus tells us 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 that Hippias discovered the curve but it was Dinostratus who was the first to use it to find a square equal in area to a given circle. Dinostratus probably did much more work on geometry but nothing is known of it. References (2 books/articles) References elsewhere in this archive: Show me the quadratrix Previous (Chronologically) Next Biographies Index

9. History Of Mathematics: Greece
350?) Thymaridas (c. 350) dinostratus (c. 350) Speusippus (d
http://aleph0.clarku.edu/~djoyce/mathhist/greece.html

10. DINOSTRATUS - Thesaurus Terms By HyperDictionary.com
http://www.hyperdictionary.com/thesaurus/Dinostratus

11. References For Dinostratus
References for the biography of dinostratus References for dinostratus. Biography in Dictionary of Scientific Biography http//wwwhistory.mcs.st-andrews.ac.uk/ References/dinostratus.html
http://www-history.mcs.st-and.ac.uk/~history/References/Dinostratus.html

12. Www.hyperdictionary.com/dictionary/dinostratus
More results from www.hyperdictionary.com References for dinostratusReferences for dinostratus. JOC/EFR December 1996 The URL of this page is http//wwwhistory.mcs.st-andrews.ac.uk/history/References/dinostratus.html.
http://www.hyperdictionary.com/dictionary/dinostratus

13. D Index
Translate this page Leonard (593*), Dickstein, Samuel (76) Dieudonné, Jean (138*) Digges, Thomas (353)Dinghas, Alexander (86*) Dini, Ulisse (66*) dinostratus (148) Diocles (116
http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/D.htm

i. \t\fi !\ \. * . i /. 7 7. !/ /. FIG. 2. of this class are those ofdinostratus and EW Tschirnhausen, which are both related to the circle.

15. Greek Mathematics Index
Chrysippus. Cleomedes. Conon. Democritus. dinostratus. Diocles. Dionysodorus. Diophantus. Domninus Apollonius. Archimedes. Bryson. Carpus. dinostratus. Hippias. Hippocrates. Nicomedes. Oenopides
http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Greeks.html

Extractions: Squaring the circle Doubling the cube Trisecting an angle Greek Astronomy ... The teaching of mathematics in Ancient Greece. Full list Mathematicans/Philosophers Mathematicians/Astronomers Mathematicians/Astronomers/Philosophers ... Later circle squarers Click on a name below to go to that biography. Anaxagoras

QUADRATRIX (from Lat. quadrator, squarer), in mathe matics, a curve having ordinates which are a measure of the area (or quadrature) of another curve. The quadratrix of dinostratus was well known

18. Quadratrix Of Hippias From MathWorld
Quadratrix of Hippias from MathWorld The quadratrix was discovered by Hippias of Elias in 430 BC, and later studied by dinostratus in 350 BC (MacTutor Archive). It can be used for angle