PORISMの語源
From Late Latin porisma, from Greek: deduction, from porizein to deduce, carry; related to Greek poros passage.
«PORISM»に関連する英語の本
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porismの使いかたを見つけましょう。
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1
Diophantus of Alexandria: A Study in the History of Greek ...
The problem v. 4 immediately following assumes the truth of the same Porism
with — a substituted for + a. Porism 2. In V. 5 Diophantus says, *' Again we have it
in the Porisms that, ' Given any two consecutive squares, we can find in addition
a ...
Sir Thomas Little Heath,
2012
2
A philosophical and mathematical dictionary: containing an ...
The definition given by the later mathematicians, as stated by Pappus, but
censured by him, ' quod deficit hypothesi a theoremate locali,' clearly implies that
a porism had an immediate reference to a locus; though it is not less clear that
Pappus ...
3
The Thirteen Books of Euclid's Elements
Q. E. F. PORISM. From this it is manifest that the side of the hexagon is equal to
the radius of the circle. And, in like manner as in the ease of the pentagon, if
through the points of division on the circle we draw tangents to the circle, there
will be ...
Euclid, Sir Thomas Little Heath,
1956
4
The Mathematical Papers of Isaac Newton:
Porism. 2. In eodem Schemate(47) si detur ratio EF ad jEG,(48> punctum D
tanget positione datam rectam lineam CD. Porism. 3. Et si punctum D tangit
positione datam rectam CD proportio EF ad EG datur. Porism. 4. Datur item
proportio EF ...
Isaac Newton, D. T. Whiteside,
2008
5
Robert of Chester's (?) redaction of Euclid's Elements, the ...
Vol. 2 H.L. Busard, Menso Folkerts. Heiberg Prop.33-47 Def.1-6 Prop.48-72
Explanation Prop.73-84 Def.1-6 Prop.85-110 Prop.lll Prop. 112-114 Prop.115
Porism X.3 Porism X.4 Porism X.6 Porism X.9 Porism X.23 Porism X.114 Version
II Prop.
H.L. Busard, Menso Folkerts,
1992
6
A Philosophical and Mathematical Dictionary Containing... ...
Had the solution been conducted after the manner of Euclid or Apollonius, the
porism in question must infallibly have been discovered." In the " Account,of the
Life and Writings of Rob. Sim- son, m. d." published in 1813, by the Rev. Dr. Wm.
7
A Philosophical and Mathematical Dictionary: Containing an ...
It" Had the solution been conducted after the manner of Euclid or Apollonius, the
porism in question niust infalliny have been discovered.” In the"'Account of the
Life and. Writings of Rob. Simson, M. 1).” published in 181 , by the Rev.
8
Thinking with Objects: The Transformation of Mechanics in ...
The last supposition defines a perfect impact as that in which a body's impulse is
completely destroyed.34 Porism 1 states that given two equal bodies, one A in
motion and the other B at rest, after the impact A will come to rest and B will be
set ...
Domenico Bertoloni Meli,
2006
9
Vita Mathematica: Historical Research and Integration with ...
From the algebraic analysis ensues a clear algebraic relation between the given
and desired magnitudes, which later is called porism and is used in the
construction of a problem. This procedure was emphasized in Getaldic's De
resolutione ...
10
The Fifteen Schoolgirls
But it is not clear what connection Pappus might have made between his theorem
and the one original porism which he quoted. With hindsight, it is possible to look
for some pattern in Euclid's porism that might correspond to the combinatorial ...
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On Apollonius, Nicomachus and first principles
Porism: It is also evident that, if a straight line is joined from the vertex to some point among those within the surface, it will fall within the conic ... «RenewAmerica, 6月 14»
Beautiful Geometry, by Eli Maor and Eugen Jost
“Steiner's porism” illustrates the remarkable result of the 19th-century Swiss mathematician Jakob Steiner. If one has two circles, with one ... «Times Higher Education, 3月 14»