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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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα vi
... surface in which any two points being taken , the straight line between them , with its prolongation either way , may be proved to lie wholly in that surface . A surface of this kind is called a plane . From these , all the relations of ...
... surface in which any two points being taken , the straight line between them , with its prolongation either way , may be proved to lie wholly in that surface . A surface of this kind is called a plane . From these , all the relations of ...
Σελίδα x
... surface ; an alteration which will probably be considered as among the most violent in the book , and for which reference must be made to the text ( see p . 50 and elsewhere ) . No Proposition or Corollary has been admitted throughout ...
... surface ; an alteration which will probably be considered as among the most violent in the book , and for which reference must be made to the text ( see p . 50 and elsewhere ) . No Proposition or Corollary has been admitted throughout ...
Σελίδα xii
... surface . A surface , consequently , has length and breadth , but not thickness . For if it had thickness , it would not be the boundary , but part of the solid . VI . That which bounds a surface , is called a line . VII . A line ...
... surface . A surface , consequently , has length and breadth , but not thickness . For if it had thickness , it would not be the boundary , but part of the solid . VI . That which bounds a surface , is called a line . VII . A line ...
Σελίδα 1
... surface of the mould which contains it . And in like manner two lines or points may actually touch one another and ... surfaces with surfaces , & c . ] , are called magnitudes . XIV . Magnitudes which if their boundaries were applied to ...
... surface of the mould which contains it . And in like manner two lines or points may actually touch one another and ... surfaces with surfaces , & c . ] , are called magnitudes . XIV . Magnitudes which if their boundaries were applied to ...
Σελίδα 13
... surface , line , or figure , may be turned about any one point , or about any two points , in it ; such point or points remaining unmoved . For it is supposed to be represented on a hard body which may be so turned . PROPOSITION III ...
... surface , line , or figure , may be turned about any one point , or about any two points , in it ; such point or points remaining unmoved . For it is supposed to be represented on a hard body which may be so turned . PROPOSITION III ...
Άλλες εκδόσεις - Προβολή όλων
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