Geometry Without Axioms; Or the First Book of Euclid's Elements. With Alterations and Familiar Notes; and an Intercalary Book in which the Straight Line and Plane are Derived from Properties of the Sphere ...: To which is Added an Appendix ...Robert Heward, 1833 - 150 σελίδες |
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Σελίδα v
... be discovered the elements of geometrical organization . The author had in consequence been led at different times to attempt the collecting of the conditions , under which figures of various kinds may be turned about certain points and be.
... be discovered the elements of geometrical organization . The author had in consequence been led at different times to attempt the collecting of the conditions , under which figures of various kinds may be turned about certain points and be.
Σελίδα vi
... turned in any manner whatsoever about its centre , without change of place . Consequences deducible from this are , that if two spheres touch one another externally , they touch only in a point ; and if they are turned as one body about ...
... turned in any manner whatsoever about its centre , without change of place . Consequences deducible from this are , that if two spheres touch one another externally , they touch only in a point ; and if they are turned as one body about ...
Σελίδα vii
... turning them about certain points . But there are others where the reasoning depends altogether on the supposition of a continuity of motion ; as , notably , in the very pinch and nip of the argument on Parallel Lines in Prop . XXVIII D ...
... turning them about certain points . But there are others where the reasoning depends altogether on the supposition of a continuity of motion ; as , notably , in the very pinch and nip of the argument on Parallel Lines in Prop . XXVIII D ...
Σελίδα xii
... turned about an assigned point or points , in any manner that can be shown to be practicable with the hard body on which they are understood to be represented . Nevertheless the application of one object to another will , when required ...
... turned about an assigned point or points , in any manner that can be shown to be practicable with the hard body on which they are understood to be represented . Nevertheless the application of one object to another will , when required ...
Σελίδα 12
... turned about any one point , or about any two points , in it ; such point or points remaining unmoved . Let A be a hard body . First Case ; the body A may be turned about any one point in it , as B , such point remaining unmoved . For ...
... turned about any one point , or about any two points , in it ; such point or points remaining unmoved . Let A be a hard body . First Case ; the body A may be turned about any one point in it , as B , such point remaining unmoved . For ...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. with ... Thomas Perronet Thompson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles alternate angles angle ABC angle ACB angle BAC angular points aret assigned point Axiom axis base BC bisected called CEGDHF central distances change of place circle coincide throughout Constr demonstrated double equal angles equal straight lines equal to AC equal to EF equilateral triangle Euclid exterior angle extremities four right angles Geometry given straight line greater hard body inclose a space instance INTERC Intercalary Book ist equal join line AC magnitude manner meet opposite angles parallelogram parity of reasoning pass perpendicular prolonged Prop PROPOSITION proved quadrilateral radii radius rectilinear figure remain unmoved remaining angle remains at rest respectively SCHOLIUM self-rejoining line shown side BC side opposite situation sphere whose centre straight line BC tessera THEOREM.-If third side triangle ABC turned unlimited length Wherefore