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 sider |
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Resultat 1-5 av 6
Side vi
... remain at rest , the point of contact remains unmoved . Hence if about two assigned points be described a succession of spheres touching one another , any number of intermediate points may be determined that shall be desired , which ...
... remain at rest , the point of contact remains unmoved . Hence if about two assigned points be described a succession of spheres touching one another , any number of intermediate points may be determined that shall be desired , which ...
Side 15
... remains at rest . The sphere shall be without change of place . • INTERC . 3 . Cor . 3 . + Constr . For if its reciprocal be sup- posed to remain unmoved , any par- D ticular point in the surface of the substantial sphere as A , will + ...
... remains at rest . The sphere shall be without change of place . • INTERC . 3 . Cor . 3 . + Constr . For if its reciprocal be sup- posed to remain unmoved , any par- D ticular point in the surface of the substantial sphere as A , will + ...
Side 24
... remain unmoved . Let the two spheres whose centres are A and B , touch one another externally in the point C ; and ... remain at rest . Their point of contact C shall remain unmoved . Because the centre of each sphere remains at rest ...
... remain unmoved . Let the two spheres whose centres are A and B , touch one another externally in the point C ; and ... remain at rest . Their point of contact C shall remain unmoved . Because the centre of each sphere remains at rest ...
Side 25
... remain unmoved . In this manner , therefore , between A and B may be deter- mined any number of points that shall be desired , which on the hard body in which they are all situate being turned about A and B , will remain unmoved ...
... remain unmoved . In this manner , therefore , between A and B may be deter- mined any number of points that shall be desired , which on the hard body in which they are all situate being turned about A and B , will remain unmoved ...
Side 26
... remain unmoved , or be without change of place . Which was to be done . And by parity of reasoning , the like may be done in every other instance . NOMENCLATURE . - A line , which being turned about its extreme points , every point in ...
... remain unmoved , or be without change of place . Which was to be done . And by parity of reasoning , the like may be done in every other instance . NOMENCLATURE . - A line , which being turned about its extreme points , every point in ...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... Thomas Perronet Thompson Uten tilgangsbegrensning - 1833 |
Geometry Without Axioms; Or the First Book of Euclid's Elements. with ... Thomas Perronet Thompson Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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