«CONCHOID»に関連する英語の本
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1
Kepler's Physical Astronomy
The second conchoid crossed line BB after exactly a quadrant, since the
perpendicular distance of the sun from an arc at E is just the radius EB of the
circle. Moreover, it is easily shown that the second conchoid is symmetric:
however far ...
2
A philosophical and mathematical dictionary: containing an ...
He next treats of the properties of the Conchoid, which Nicomedes invented for
doubling the cube; applying it to the solution of certain problems concerning
Inclinations, with the finding of two mean proportionals, and cubes in any
proportion ...
If a straight fine is drawn through A to meet S at Q, and if P and P' are points on
this line such that P'Q = QP = k (constant), the locus of P and P' is called a
conchoid of S with respect to A. The conchoid of a circle with respect to a point on
its ...
4
Handbook of Mathematics
The Conchoid of Nicomedes (Fig. 2.62) is the locus of the points P, for which 0P =
0M l (2.231) holds, where M is the intersection point of the line between 0P 1 and
0P 2 with the asymptote x = a. The \+" sign belongs to the outer branch of the ...
I.N. Bronshtein, K.A. Semendyayev, Gerhard Musiol,
2007
5
A Philosophical and Mathematical Dictionary: Containing an ...
CONCHOID, or toacmnas, the name of a curve invented by Nicomedes. It was
much used by the ancients in the construction of solid problems, as appears by
what Pappussays.—lt is thusconstructed :' AP and BD beingtwo lines intersecting
at ...
6
The Historical Roots of Elementary Mathematics
time slides through G such that the point O moves on the line /, then the point P
traces a conchoid. This curve can be used to locate the point P in Figure 4-18.
We draw the conchoid with line / of Figure 4-19 along line BD, point G at O, and
the ...
Lucas N. H. Bunt, Phillip S. Jones, Jack D. Bedient,
2012
A conchoid is a curve derived from a fixed point O, another curve, and a length d. For every line through O that intersects the given curve at A the two points on the line which are d from A are on the conchoid.
Jesse Russell, Ronald Cohn,
2012
8
A Philosophical and Mathematical Dictionary Containing... ...
CONCHOID, or Conch iles, the name of a curve invented by Nicomedes. It was
much used by the ancients in the construction of solid problems, as appears by
what Pappus says.— It is thusconstructed : ap and bd being two lines intersecting
...
9
Pappus of Alexandria: Book 4 of the Collection: Edited With ...
Pappus mentions four types of Nicomedean conchoids, without giving any further
descriptions. The most likely candidates are the other branches of the ordinary
conchoid.1 Nicomedes' work was known perhaps as late as Eutocius, although it
...
10
Complex Algebraic Curves
through p and q meets C at a point of distance a from p is called a conchoid of C
with respect to q and with parameter a. There are many classical examples of
conchoids. The conchoid of Nicomedes (c. 225 B.C.) is the conchoid of a line with
...
Frances Clare Kirwan,
1992
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