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1
The Thirteen Books of Euclib's Elements.
Homoeomeric lines. By this term (o/iotop.cpcI«) are meant lines which are alike in
all parts, so that in any one such curve any part can be made to coincide with any
other part. Proclus observes that these lines are only three in number, two ...
2
the first book of euclid's elements with a commentary
class will be the uniform or homoeomeric surfaces, i.e. surfaces alike in every
part so as to be capable of sliding over themselves. This was stated above to be
the exclusive property of straight-lines and circles only in the Euclidean Geometry
of ...
3
A Commentary on the First Book of Euclid's Elements
I mean, for example, when it asks "What is the homoeomeric line?" it wishes to
find the definition of such a line, namely, "the homoeomeric line is a line all of
whose parts fit upon each other," or to grasp the actual species of homoeomeric
lines, ...
Proclus, Glenn Raymond Morrow, 1992
4
A History of Greek Mathematics, Volume II: From Aristarchus ...
He observes that, while there are three homoeomeric or uniform 'lines' (the
straight line, the circle, and the cylindrical helix), there are only two homoeomeric
surfaces, the plane and the sphere. Other classifications are those of 'angles' ...
5
A History of Greek Mathematics
He observes that, while there are three homoeomeric or uniform '1ines' (the
straight line, the circle, and the cylindrical helix), there are only two homoeomeric'
surfaces, the plane and the sphere. Other classifications are those of 'angles' ...
6
The Thirteen Books of Euclid's Elements
Homoeomeric lines. By this term (6aotoaepeis) are meant lines which are alike in
all parts, so that in any one such curve any part can be made to coincide with any
other part. Proclus observes that these lines are only three in number, two ...
Euclid, Sir Thomas Little Heath, 1956
7
The First Book of Euclid's Elements: With a Commentary Based ...
class will be the uniform or homoeomeric surfaces, ije. surfaces alike in every
part so as to be capable of sliding over themselves. This was stated above to be
the exclusive property of straight-lines and circles only in the Euclidean Geometry
of ...
Euclid, Proclus, William Barrett Frankland, 1905
8
Introduction and books 1,2
Homoeomeric lines. By this term (6/u>to/x<pc!f) are meant lines which are alike in
all parts, so that in any one such curve any part can be made to coincide with any
other part. Proclus observes that these lines are only three in number, two ...
Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg, 1908
9
Il Nuovo Cimento Della Società Italiana Di Fisica: Condensed ...
II) Old Greek Geometers payed sufficient attention to a special type of curves
known under the name of homoeomeric lines, i.e. lines which are alike in all parts
, so that in any one such curve any part can be made to coincide with any other
part.
10
Alfarabi, Avicenna, and Averroes, on Intellect : Their ...
In a third Arabic text the annotation does replace the two paragraphs.92 Other
manuscripts, those reflecting the original Epitome, lack the annotation altogether.
93 What the annotation says is that animate beings, no less than homoeomeric ...
Los Angeles Herbert A. Davidson Professor of Near Eastern Languages and Cultures University of California, 1992
