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 10
Side xi
... body whose particles are immoveable among themselves , at least by any force there is question of employing ; is called a hard body . IV . That which has length , breadth , and thickness , is called a solid . A solid may either be ...
... body whose particles are immoveable among themselves , at least by any force there is question of employing ; is called a hard body . IV . That which has length , breadth , and thickness , is called a solid . A solid may either be ...
Side xii
... hard body of some kind , which causes the position of the several parts or points to be fixed with relation to one another ; and will , on occasion , be supposed to be turned about an assigned point or points , in any manner that can be ...
... hard body of some kind , which causes the position of the several parts or points to be fixed with relation to one another ; and will , on occasion , be supposed to be turned about an assigned point or points , in any manner that can be ...
Side 12
... hard body may be 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 ...
... hard body may be 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 ...
Side 13
... body was in the situation A. And for the same reason , between the situations A and M the body may be placed in ... hard body . Wherefore , universally , a hard body may be turned & c . Which was to be demonstrated . COR . Any solid ...
... body was in the situation A. And for the same reason , between the situations A and M the body may be placed in ... hard body . Wherefore , universally , a hard body may be turned & c . Which was to be demonstrated . COR . Any solid ...
Side 14
... hard body in which are the points A and B , may be moved till the point B is applied to D ; and the solid described as before . NOMENCLATURE . - A solid figure of which all the points in the surface are equidistant from a certain point ...
... hard body in which are the points A and B , may be moved till the point B is applied to D ; and the solid described as before . NOMENCLATURE . - A solid figure of which all the points in the surface are equidistant from a certain point ...
Andre utgaver - Vis alle
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