A History of Mathematics |
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Page 18
... surfaces and the rudiments of solid geometry , empirical in their character . 8 With Thales begins also the study of scientific astronomy . He acquired great celebrity by the prediction of a solar eclipse in 585 B.C. Whether he ...
... surfaces and the rudiments of solid geometry , empirical in their character . 8 With Thales begins also the study of scientific astronomy . He acquired great celebrity by the prediction of a solar eclipse in 585 B.C. Whether he ...
Page 30
... surface , the ' boundaries ' of the line , surface , solid , respectively . Many of the definitions in Euclid are to be ascribed to the Platonic school . The same is probably true of Euclid's axioms . Aristotle refers to Plato the axiom ...
... surface , the ' boundaries ' of the line , surface , solid , respectively . Many of the definitions in Euclid are to be ascribed to the Platonic school . The same is probably true of Euclid's axioms . Aristotle refers to Plato the axiom ...
Page 40
... Surface , the meaning of which title is not understood . Heiberg believes it to mean " loci which are surfaces . " The immediate successors of Euclid in the mathematical school at Alexandria were probably Conon , Dositheus , and ...
... Surface , the meaning of which title is not understood . Heiberg believes it to mean " loci which are surfaces . " The immediate successors of Euclid in the mathematical school at Alexandria were probably Conon , Dositheus , and ...
Page 42
... surface of a sphere is equal to four times a great circle ; that the surface of a segment of a sphere is equal to a circle whose radius is the straight line drawn from the vertex of the segment to the circumference of its basal circle ...
... surface of a sphere is equal to four times a great circle ; that the surface of a segment of a sphere is equal to a circle whose radius is the straight line drawn from the vertex of the segment to the circumference of its basal circle ...
Page 49
... surfaces and the ratios of rectilineal distances . These two great divisions of geometry may be designated by the names of Geometry of Measurements and Geometry of Forms and Situa- tions , or , Geometry of Archimedes and of Apollonius ...
... surfaces and the ratios of rectilineal distances . These two great divisions of geometry may be designated by the names of Geometry of Measurements and Geometry of Forms and Situa- tions , or , Geometry of Archimedes and of Apollonius ...
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Popular passages
Page 202 - I was so persecuted with discussions arising out of my theory of light, that I blamed my own imprudence for parting with so substantial a blessing as my quiet, to run after a shadow.
Page 298 - THEOREM If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another.
Page 21 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.