"Heron was by no means a geometer of the Euclidean School. He is a practical man who will use any means to attain his end and is... untrammelled by... classical restrictions. He is... a mechanician who, unlike Archimedes, is... proud of his... ingenuity. He adds... almost nothing, to the geometry of his time but he is learned in the... bookwork. On the other hand... he is the first Greek writer who uses a geometrical nomenclature and symbolism, without the geometrical limitations, for algebraical purposes, who adds lines to areas and multiplies squares by squares and finds numerical roots for quadratic equations. Hence, for a similar reason to... de Morgan... it is now commonly believed that Heron was an Egyptian. ...[T]he ...style of his work recalls ... ... [A]lgebra was an Egyptian art and ...the symbolism of Diophantus was of Egyptian origin. ...[I]f Heron was not a Greek, he relied almost entirely on Greek learning and did not resort to the ...priestly tradition ...He is a man who writes in Greek upon Greek subjects, but who thinks in Egyptian. [Following is in the footnote.] Let it be remembered that the seqt-calcalation of Ahmes leads to trigonometry: his hau-calculation to algebra. Almost the first sign of both appears in Heron... An algebraic symbolism first appears in Diophantus, but the symbols are probably not Greek and probably are Egyptian. Both Heron and Diophantus were Alexandrians. This is all the evidence that trigonometry and algebra were of Egyptian origin, but does it not raise a shrewd suspicion? Proclus... speaks... as if Heron founded a school."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Imported from EN Wikiquote
https://en.wikiquote.org/wiki/History_of_trigonometry
Revision History
No revisions have been submitted for this quote.
Categories
History of trigonometry
begins with the early study of triangles, traced to the , in () and . Trigonometry was also prevalent in Kushite mathematics.
130 quotes on TrueQuotesView all quotes by History of trigonometry →
Related Quotes
"Similarly to the spread of the Indian place-value system, Indian trigonometry came to Europe via the Arab world, for …"
"[I]n 1575 Western Europe had recovered most of the major mathematical works of antiquity now extant. Arabic algebra h…"
"At its higher levels the golden age of Muslim civilization was both an immense scientific success and a exceptional r…"
"As in the rest of mathematical sciences, so in trigonometry, were the Arabs pupils of the Hindus…"
"Chapter X., which follows, is on the obliquity of the ecliptic... The next, XI., XII. contain spherical geometry and …"
"Euler wrote... Introductio in Analysin infinitorum, 1748, which was intended to serve as an introduction to pure anal…"
"The development of Indian trigonometry, based on sine as against chord of the Greeks was another of 's achievements w…"
"The second part of the book... contains an exposition of the first principles of the theory of complex quantities; hi…"
"The idea of the logarithm probably had its source in the use of... trigonometric formulas that transformed multiplica…"
"Isaac Newton... went to school at Grantham and in 1661 came up as a subsizar to Trinity. ...He had not read any mathe…"