Porisms might have been an outgrowth of Euclid's work with conic sections, but the exact meaning of the title is controversial. Pseudaria, or Book of Fallacies, was an elementary text about errors in reasoning. Surface Loci concerned either loci (sets of points) on surfaces or loci which w...
meaning “Earth measurement.” Eventually it was realized that geometry need not be limited to the study of flat surfaces (plane geometry) and rigid three-dimensional objects (solid geometry) but that even the most abstract thoughts and images might be represented and developed in geometric terms....
Scanlon proved a quantifier elimination result for valued D-fields in a three-sorted language by using angular component functions. Here we pro... Nicolas,Guzy - 《Journal of Symbolic Logic》 被引量: 5发表: 2006年 The Brazilian People: The Formation and Meaning of Brazil (review) In lieu ...
(APPEND CMAKE_MODULE_LINKER_FLAGS " ${OpenMP_LINKER_FLAGS}") endif() else() # Typically avoid adding flags as defines but we can't # pass OpenMP flags to the linker for static builds, meaning # we can't add any OpenMP related flags to CFLAGS variables # since they're passed to ...
In fact, ‘toolbox’ comes close to the surface meaning of the Greek word stoicheia,‘Elements’. The etymology and usage are complex, but the relevant focal use of stoicheia is clearly in reference to the letters of the alphabet (Burkert Citation1959). To refer, in Greek, to stoicheia...
However, it was Euclid’s book, Data, which defined the meaning of having “given information” that was reliable and could be applied to problems of math and practical applications. Euclidean Controversy The 13 books of the Elements and the five other existing books ascribed to Euclid would ...
Proclus gives as an example of the latter meaning finding the center of a circle (Proposition I, Book III of the Elements); the center already exists, but it must be found. A third meaning is given by Pappus: ``A porism is that which falls short of a locus-theorem in respect of its...
The literal translation “let it have been postulated” sounds awkward in English, but more accurately captures the meaning of the Greek. 8. Remind that the concepts of infinite straight line and infinite half-line (ray) are absent from Euclid’s geometry; thus the result of OP2 is always ...
40), and responds to the problematic of psychiatry’s relation to science by citing a 1966 suggestion that in discovering the meaningfulness of symptoms ‘Freud moved from the logic of science to the logic of the humanities, because a meaning is not a product of causes, but is the creation...