«PORISTIC»に関連する英語の本
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1
Thomas Harriot's Artis Analyticae Praxis: An English ...
Viete's definition of analysis had distinguished three types: Zetetic (setting up
equations), Exegetic (solution of equations) and Poristic (investigating the truth of
the result). Definition 6 (of Zetetic) again demonstrates a move to pure algebra in
...
Muriel Seltman, Robert Goulding, 2007
2
Greek Mathematical Thought and the Origin of Algebra
What this definition is intended to mean can be seen from the short sixth chapter:
"De Theorematum per Poristicen examinatione," (On the investigation of
theorems by the poristic art), which deals, however, more with “synthesis" and its
relation ...
3
The Origin of the Logic of Symbolic Mathematics: Edmund ...
τἀληθοῦς})” and “poristic (ποριστικόν),” thus significantly, on Klein's view,
bypassing Pappus's “expressions 'theoretical' (θεωρητικόν) and 'problematical' (
προβληματικόν).” While for Pappus, as we have seen, the difference between the
latter ...
4
On the Shoulders of Merchants: Exchange and the Mathematical ...
To this end Viète divides his analytic art into three parts: zetetic, poristic and a
third called rhetic or exegetic. The zetetic finds an equation or proportion
between the magnitude sought and those given, the poristic investigates the truth
of a ...
... Poncelet's poristic polygons Either starting from the point A in Figure 9.4 and
drawing the tangents AQ1, Q1 Q2, Q2Q3 ,...to the inner circle, centre c, from the
points Q1, Q2, Q3 on the circle CQ; or starting from the point A in Figure 9.5 and ...
J. V. Armitage, W. F. Eberlein, 2006
6
the methods of plane projective geometry based on the use of ...
<See also Conio Poristic systems of quadrilaterals, 171-3 of triangles, 167-70
Projectively related elements, 24 Projectivity, 24 Quadrangle and quadrilateral
cyclic, 187 definitions, 125 diagonals, 125; diagonal triangle, 125, 126, 130, 131
...
7
A Source Book in Mathematics, 1200-1800
In the poristic approach we are concerned with the finding of a solution and the
inversion is usually a construction (unless the solution is found to be impossible).
Viete called this method Zetetlcs. Viete took these ideas and expanded on them,
...
8
The Mathematical Career of Pierre de Fermat, 1601-1665
Where zetetic had denoted for Pappus theorem-proving analysis and poristic,
problem-solving analysis, Viete now makes zetetic analysis the procedure by
which a problem is transformed into an algebraic equation linking known and ...
Michael Sean Mahoney, 1994
9
A Source Book in Mathematics, 1200-1800
In the poristic approach we are concerned with the finding of a solution and the
inversion is usually a construction (unless the solution is found to be impossible).
Viete called this method Zetetica. Viete took these ideas and expanded on them,
...
10
American Journal of Mathematics
(8) is satisfied and the complementary form F' must exist. Thus we find the classic
theorem of Poncelet: (9) // a form F 2.z admits one configuration A*;* it admits
infinitely many and is poristic. Moreover it is known that poristic forms F^, 2 with ...
