 About 953 results  books.google.com 1082 Folding Folium Foliation Let M" be an n MANIFOLD and let F= {F,} denote
a PARTITION of M" into DISJOINT pathconnected ... See also BIFOLIUM,
FOLIUM OF DESCARTES, KEPLER'S FOLIUM, QUADRIFOLIUM, ROSE,
TRIFOLIUM ... 

 books.google.com mary Gray. keplerimplicit [a_,b_] [x_,y_] := ((x  b)~2 + y~2)(x(x  b)  4a(x  b)y"2
Plot Kepler's folium and some of its perturbations using ImplicitPlot. 5. Use
ImplicitPlot to plot the following curves (see [Walk, page 56]) with interesting ... 

 books.google.com More technically, the foliated manifold is locally homeomorphic to a vector space
decorated by cosets of a subspace. folium A curve, first described by Johannes
Kepler in 1609, that corresponds to the general equation (x2 +y2)(y2 + x(x+ b)) ... 

 books.google.com ... 3.2: \today} \maketitle \section{Introduction}\1abel{sec:int} A \emph{folium} is a
generic term for a leaf—shaped curve. ... 4axy'2 \end{equation} was known to
Kepler in 1609 and generates a Simple——, Double—— or Tri—Folium, when ... 

 books.google.com Johannes Kepler ... was another astronomical example above in the third book,
when we said that while the Earth revolves around the sun, the \\ § axis of
terrestrial rotation remains in the same x“ everlasting parallel posture—folium
248. 

 books.google.com Hence the word folio, (from the Latin folium, a leaf,) and the meaning of leaf,
when applied to a book. This mode of writing on leaves seems to have been
superseded by the use of the bark — a material employed in every age and
quarter of the ... 

 books.google.com This definition makes uniformity of motion conceptually independent of time,
although, as Kepler remarks, it implies that ... The first number is Kepler's, while
the second is the folium number in vol. xiv of the manuscripts, added by a later
hand. 

 books.google.com ... its intercepts. 3. Kepler's folium is the defined nonparametrically as the set of
zeros of the function kepler[a, b](x, y) = ((x  6)2 + y2){x(x  b) + y2)  4a(x  b)y2, or
ft2 I t(t2l)\ kepler [a_,b_] [x_, y_] : = ; (xb) ~2+y"2) (x 4.4 Exercises 71 Exercises. 

 books.google.com ... stalk', defloration < deflorare 'deprive of flowers', efifloresce < efflorescere '
blossom, flower exout'; foil < OF < folium 'leaf', ... penitent(iary), penult(imate) '
almost last', penumbra 'almost shade' (coined by Kepler), penury (from paenuria '
want, ... 

 books.google.com ... deposited in the magnificent library founded by Trajan at Rome. The
employment of leaves for the transmission of ideas is of great antiquity; and it is
still common in different parts of the east. Hence the word folio, (from the Latin
folium, a leaf.) ... 

 