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 3
... construction , the meaning is , that it has at some previous period of the operations in hand , been made to be what it is said to be . Thus , if in the course of the operations in hand , some magnitude has been cut off equal to another ...
... construction , the meaning is , that it has at some previous period of the operations in hand , been made to be what it is said to be . Thus , if in the course of the operations in hand , some magnitude has been cut off equal to another ...
Σελίδα 4
... construction , or part of it , precedes the specification . And sometimes no construction is required . The fourth derives from all that has preceded , the establish- ment of the proposition in the instance presented in the ...
... construction , or part of it , precedes the specification . And sometimes no construction is required . The fourth derives from all that has preceded , the establish- ment of the proposition in the instance presented in the ...
Σελίδα 5
... construction , & c . , the which , taken together , amount to the establishment of the universal proposition . XXX . What is called the converse of a proposition is , when the premises and the conclusion are made to change places , and ...
... construction , & c . , the which , taken together , amount to the establishment of the universal proposition . XXX . What is called the converse of a proposition is , when the premises and the conclusion are made to change places , and ...
Σελίδα 14
... Constr . Also every point in the surface of the described solid , hast had some point in the line AC applied to it . Wherefore the point A can be applied to every point in the described surface , the point B remaining at rest ...
... Constr . Also every point in the surface of the described solid , hast had some point in the line AC applied to it . Wherefore the point A can be applied to every point in the described surface , the point B remaining at rest ...
Σελίδα 15
... Constr . For if its reciprocal be sup- posed to remain unmoved , any par- D ticular point in the surface of the substantial sphere as A , will + at all times be coincident with some point or other in the reciprocal ; because they are ...
... Constr . For if its reciprocal be sup- posed to remain unmoved , any par- D ticular point in the surface of the substantial sphere as A , will + at all times be coincident with some point or other in the reciprocal ; because they are ...
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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