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 71.
Σελίδα xii
... shown to be practicable with the hard body on which they are understood to be represented . Nevertheless the application of one object to another will , when required , be imagined to take place without bar of corporeal substance ...
... shown to be practicable with the hard body on which they are understood to be represented . Nevertheless the application of one object to another will , when required , be imagined to take place without bar of corporeal substance ...
Σελίδα 1
... shown that coincidence would take place , if the objects in question could be applied to one another without bar of corporeal substance as intimated above . And in the same manner that two objects may be thus imagined to coincide , may ...
... shown that coincidence would take place , if the objects in question could be applied to one another without bar of corporeal substance as intimated above . And in the same manner that two objects may be thus imagined to coincide , may ...
Σελίδα 3
... shown to be true in this . Thus , if it has been shown that because two particular magnitudes are each equal to a third magnitude they are equal to one another ; and if the same steps can be applied in any other instance ; it may be ...
... shown to be true in this . Thus , if it has been shown that because two particular magnitudes are each equal to a third magnitude they are equal to one another ; and if the same steps can be applied in any other instance ; it may be ...
Σελίδα 5
... shown in the sequel , that if one angle of a triangle is greater than a right angle , the other two are necessarily less than right angles . The converse of which is , that if two angles of a triangle are less than right angles , the ...
... shown in the sequel , that if one angle of a triangle is greater than a right angle , the other two are necessarily less than right angles . The converse of which is , that if two angles of a triangle are less than right angles , the ...
Σελίδα 17
... in like manner may be shown that they cannot coincide in any other surface . Second Case ; let it be assumed that they coincide in the self- C SOLAVO BIB 18 INTERCALARY BOOK . rejoining line CEGDHF in Fig . PROP . V. 17.
... in like manner may be shown that they cannot coincide in any other surface . Second Case ; let it be assumed that they coincide in the self- C SOLAVO BIB 18 INTERCALARY BOOK . rejoining line CEGDHF in Fig . PROP . V. 17.
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