The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth: The Errors by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected and Some of Euclid's Demonstrations are Restored ; Also the Book O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 σελίδες |
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Αποτελέσματα 1 - 5 από τα 66.
Σελίδα 60
... circle is the figure con-- tained by a straight line and the cir- cumference it cuts off VII . " The angle of a segment is that which is contained by the straight line and the ... circle ABC . For , if it be not , let , if THE ELEMENTS.
... circle is the figure con-- tained by a straight line and the cir- cumference it cuts off VII . " The angle of a segment is that which is contained by the straight line and the ... circle ABC . For , if it be not , let , if THE ELEMENTS.
Σελίδα 61
... circle ABC : Which was to be found . E COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre of the circle is in the line which bisects the other . € 8 . d io Def . 1 . PROP ...
... circle ABC : Which was to be found . E COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre of the circle is in the line which bisects the other . € 8 . d io Def . 1 . PROP ...
Σελίδα 63
... ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both pass ... circle , & c . Q. E. D. PROP . V. THEOR . B IF two circles cut one another , they shall not have the same centre ...
... ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both pass ... circle , & c . Q. E. D. PROP . V. THEOR . B IF two circles cut one another , they shall not have the same centre ...
Σελίδα 64
... circle ABC ,. CE is equal to EF : Again , be- A / D cause E is the centre of the circle CDG , CE is equal to EG : But CE was shown to be equal to EF ; therefore EF is equal to EG , the less to the greater , which is im- possible ...
... circle ABC ,. CE is equal to EF : Again , be- A / D cause E is the centre of the circle CDG , CE is equal to EG : But CE was shown to be equal to EF ; therefore EF is equal to EG , the less to the greater , which is im- possible ...
Σελίδα 65
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre , be E ; of all the straight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the ...
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre , be E ; of all the straight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex