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 89
... axis . For because AB ist equal to AC , and the portion of the axis intercepted between A and the intersection of BC with the axis is common , and the angle BAZ equal to CAZ ; BC ist bisected by the axis , and the angles at the ...
... axis . For because AB ist equal to AC , and the portion of the axis intercepted between A and the intersection of BC with the axis is common , and the angle BAZ equal to CAZ ; BC ist bisected by the axis , and the angles at the ...
Σελίδα 90
... axis ; the straight lines bisecting the several angles of the series ( being prolonged ) shall have met in the axis , in the part that is between the chord and the vertex . Let AB , AC , BD , CE , & c . be a series of equal straight ...
... axis ; the straight lines bisecting the several angles of the series ( being prolonged ) shall have met in the axis , in the part that is between the chord and the vertex . Let AB , AC , BD , CE , & c . be a series of equal straight ...
Σελίδα 91
... axis in some point between U and A. Let it cut it in S ; and join SC , SE , SG , & c . These shall be the straight lines bisecting the angles ACE , CEG , EGI , & c . of the series . Because the angle CAS is equal to ILS , and CAL to ILA ...
... axis in some point between U and A. Let it cut it in S ; and join SC , SE , SG , & c . These shall be the straight lines bisecting the angles ACE , CEG , EGI , & c . of the series . Because the angle CAS is equal to ILS , and CAL to ILA ...
Σελίδα 92
... axis , the straight lines bisecting the angles of the series shall in like manner have met in the axis , at its intersection with the chord . For the angle ILV will be equal to ILK , and the point S coincide with the point U. COR . 2 ...
... axis , the straight lines bisecting the angles of the series shall in like manner have met in the axis , at its intersection with the chord . For the angle ILV will be equal to ILK , and the point S coincide with the point U. COR . 2 ...
Σελίδα 93
... axis CAZ , the straight lines bisecting the angles of the series shall in like manner have met in the axis , at a point between O which is the intersection of the axis with WX , and the vertex A. For if the angle MNX is equal to CAZ ...
... axis CAZ , the straight lines bisecting the angles of the series shall in like manner have met in the axis , at a point between O which is the intersection of the axis with WX , and the vertex A. For if the angle MNX is equal to CAZ ...
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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