The Elements of Solid Geometry |
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Page vii
... space . A short word has long been wanted for the decasyllabic " rectangular parallelepiped " : I am sanguine that the word " cuboid , " which I have here introduced , will meet with acceptance from mathematicians . In the concluding ...
... space . A short word has long been wanted for the decasyllabic " rectangular parallelepiped " : I am sanguine that the word " cuboid , " which I have here introduced , will meet with acceptance from mathematicians . In the concluding ...
Page 1
... space ( however derived ) , which lead to the fundamental postulates 1 ( or so - called axioms ) of geometry . A suitable 1 I use the word as the equivalent of Euclid's aithμara , under which he rightly includes what modern editors ...
... space ( however derived ) , which lead to the fundamental postulates 1 ( or so - called axioms ) of geometry . A suitable 1 I use the word as the equivalent of Euclid's aithμara , under which he rightly includes what modern editors ...
Page 2
... space . It is with the object of facilitating such an examination , that the following short discussion is intro ... space is that of an unlimited extension on all sides . A finite portion of space regarded as separated from the rest ...
... space . It is with the object of facilitating such an examination , that the following short discussion is intro ... space is that of an unlimited extension on all sides . A finite portion of space regarded as separated from the rest ...
Page 3
... space changed without change in any other respect . Or , using the term figure in the general sense of any combination of points , lines , surfaces , or solids , POST . 1. Any figure may be transferred from one position in space to ...
... space changed without change in any other respect . Or , using the term figure in the general sense of any combination of points , lines , surfaces , or solids , POST . 1. Any figure may be transferred from one position in space to ...
Page 5
... space as before , since it is completely determined 1 On account of the importance of distinguishing in words between the infinite whole of a straight line and a finite length on a straight line , some authors call the part of a ...
... space as before , since it is completely determined 1 On account of the importance of distinguishing in words between the infinite whole of a straight line and a finite length on a straight line , some authors call the part of a ...
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Common terms and phrases
ABCD angle ACB axis bisected central symmetry centre centre of symmetry circle Crown 8vo cuboid diameter dihedral angle direct line distance drawn Elementary equal bases equally inclined Euclid exterior angle finite four right angles frustrum given line given point Globe 8vo greater Hence less lines joining lines of intersection lune meets the plane middle point number of faces number of sides pair parallel planes perpendicular plane BOC plane faces plane geometry plane parallel plane triangle planes are parallel polar triangle polygon polyhedra polyhedron position prism projection Q. E. D. COR Q. E. D. THEOREM quadrant ratio regular regular polyhedron six right solid angles solid figure Solid Geometry space sphere spherical excess spherical surface spherical triangle Spherical Trigonometry straight line superposable supplementary symmetrical with respect termed tetrahedron three planes triangle ABC vertex volume
Popular passages
Page 130 - ... equal, then the angles opposite to the other pair of equal sides are either equal or supplementary, and in the former case the triangles are identically equal.
Page 120 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...