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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Σελίδα 3
... segment of a circle is the figure contained by a straight " line , and the circumference it cuts off . " XX . Rectilineal figures are those which are contained by straight lines . XXI Trilateral figures , or triangles , by three ...
... segment of a circle is the figure contained by a straight " line , and the circumference it cuts off . " XX . Rectilineal figures are those which are contained by straight lines . XXI Trilateral figures , or triangles , by three ...
Σελίδα 14
... segment . If it be possible , let the two straight lines ABC , ABD have the segment AB common to both of them . From the point B draw BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal a to the 14 THE ...
... segment . If it be possible , let the two straight lines ABC , ABD have the segment AB common to both of them . From the point B draw BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal a to the 14 THE ...
Σελίδα 15
... segment . PROP . XII . PROB E D B Book T. 210 Def . 1 . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point 411 without it . sows sis of lampo at 100 su 5 ad bras نا C Let AB be the ...
... segment . PROP . XII . PROB E D B Book T. 210 Def . 1 . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point 411 without it . sows sis of lampo at 100 su 5 ad bras نا C Let AB be the ...
Σελίδα 59
... a circle , when the perpendiculars drawn to them from the centre are equal . V. And the straight line on which the greater perpendicular falls , is said to be farther from the centre . 39 BOOK III . VI . A segment of a circle.
... a circle , when the perpendiculars drawn to them from the centre are equal . V. And the straight line on which the greater perpendicular falls , is said to be farther from the centre . 39 BOOK III . VI . A segment of a circle.
Σελίδα 60
... segment of a 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 circumference . " VIII . An angle in a segment ...
... segment of a 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 circumference . " VIII . An angle in a segment ...
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