 About 214,000 results  books.google.com 
 books.google.com EsTIMATIoN PRINCIPLE [mathematics] Branch of probability and statistics
concerned with deriving information about properties of random variables,
stochastic processes, and systems based on observed samples; EUCLID'S
PRINCIPLE ... 

 books.google.com Since Euclid's time, many people who have studied the Elements have been
troubled by Euclid's fifth postulate. ... that at any rate Euclid's fifth postulate can be
replaced by some other simpler and more selfevident principle which could
serve ... 

 books.google.com Since the Euclidean proofs of these theorems employ the method of exhaustion,
it follows from Archimedes' historical ... with Eudoxus16 and thus the lemma to
which Archimedes compares his own must be the socalled "bisection principle"
17. 

 books.google.com Euclid's Principle Euclid's Theorems 943 See also ABSOLUTE GEOMETRY,
CIRCLE, ELEMENTS, LINE SEGMENT, NONEUCLIDEAN GEOMETRY,
PARALLEL POSTULATE, PASCH'S THEOREM, RIGHT ANGLE References
Hofstadter, ... 

 books.google.com 1. which principle is used in each of Euclid's 3 first propositions, but the principle
could evidently do but little. There remains then the principle of coincidence,
which Euclid uses in this proposition, and a most perfect one it appears to be, ... 

 books.google.com (Euclid's Elements, Dover, I, 375.) Suppose we have a rectangle with one side of
length x and with an adjacent side of length w. For the simplest application of
Euclid's principle we shall suppose that side w is divided into two segments of ... 

 books.google.com With Notes and Illustrations and an Appendix in Five Books Euclid James
Thomson. lines which by hypothesis, intersect one another, may, by the assumed
principle, be extended so far, that their distance asunder will exceed the distance
... 

 books.google.com Does a Mathematical definition admit of proof on the principles of the Science to
which it relates ? 14. Enumerate the principles of construction assumed by Euclid
. 15. Of what instruments may the use be considered to meet approximately the ... 

 books.google.com Does a Mathematical definition admit of proof on the principles of the Science to
which it relates ? 14. Enumerate the principles of construction assumed by Euclid
. 15. Of what instruments may the use be considered to meet approximately the ... 

 