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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 17.
Σελίδα xii
... terminate at that point . See Note . VIII . Anything that has boundaries which are fixed , is called a figure . Figures are solid , superficial , or linear , according as the subject is a solid , surface , or line . To which may ...
... terminate at that point . See Note . VIII . Anything that has boundaries which are fixed , is called a figure . Figures are solid , superficial , or linear , according as the subject is a solid , surface , or line . To which may ...
Σελίδα 26
... terminated both ways by the surface , is called a diameter of the sphere . COR . A straight line may be described or made to pass from any one point to any other point . For it may be done by Prop . IX . above . PROPOSITION X. THEOREM ...
... terminated both ways by the surface , is called a diameter of the sphere . COR . A straight line may be described or made to pass from any one point to any other point . For it may be done by Prop . IX . above . PROPOSITION X. THEOREM ...
Σελίδα 36
... terminated straight line may be prolonged to any length in a straight line . For ( by Cor . 5 above ) it may be multiplied [ that is to say , straight lines equal to it may be added one to another ] any number of times , and the whole ...
... terminated straight line may be prolonged to any length in a straight line . For ( by Cor . 5 above ) it may be multiplied [ that is to say , straight lines equal to it may be added one to another ] any number of times , and the whole ...
Σελίδα 43
... terminated both ways by the circumference , is called a diameter of the circle . B When a circle is said to be described about the centre A with the radius AB , the meaning is , that it is described by the revolution of the given ...
... terminated both ways by the circumference , is called a diameter of the circle . B When a circle is said to be described about the centre A with the radius AB , the meaning is , that it is described by the revolution of the given ...
Σελίδα 48
... terminated straight line may be prolonged to any length in a straight line . When a straight line is said to be of unlimited length , the meaning is , that no point is assigned at which it shall be held to be terminated , but on the ...
... terminated straight line may be prolonged to any length in a straight line . When a straight line is said to be of unlimited length , the meaning is , that no point is assigned at which it shall be held to be terminated , but on the ...
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