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
... circle into four equal parts by means of circles only . ' But this sufficed to indicate , that the idea which had passed through the mind of that eminent practical geometer , was that in the properties of the circle , or still more ...
... circle into four equal parts by means of circles only . ' But this sufficed to indicate , that the idea which had passed through the mind of that eminent practical geometer , was that in the properties of the circle , or still more ...
Σελίδα 43
... circle ; and any straight line drawn through the centre and 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 ...
... circle ; and any straight line drawn through the centre and 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 ...
Σελίδα 44
... circle will be described . COR . 4. All the radii of the same circle are equal . And circles that have equal radii , are equal . For in the same circle , the straight line by the revolution of which the circle was described can be made ...
... circle will be described . COR . 4. All the radii of the same circle are equal . And circles that have equal radii , are equal . For in the same circle , the straight line by the revolution of which the circle was described can be made ...
Σελίδα 49
... circle ; and any straight line drawn through the centre and terminated both ways by the circumference , is called a diameter of the circle . When a circle is said to be described about the centre A with the radius AB , the meaning is ...
... circle ; and any straight line drawn through the centre and terminated both ways by the circumference , is called a diameter of the circle . When a circle is said to be described about the centre A with the radius AB , the meaning is ...
Σελίδα 51
... circle , is called a chord . The same name is applied to a straight line joining the extremities of any series of straight lines that approaches to the like form . The points A , B , where the DiD A BA chord meets the ends of the series ...
... circle , is called a chord . The same name is applied to a straight line joining the extremities of any series of straight lines that approaches to the like form . The points A , B , where the DiD A BA chord meets the ends of the series ...
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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