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 sider |
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Resultat 1-5 av 100
Side
... demonstrated , and not assumed ; and therefore , though this were a true proposition , it ought to have been demonstrated . But , indeed , this Proposition , which makes the 10th Defini- tion of the 11th Book , is not true universally ...
... demonstrated , and not assumed ; and therefore , though this were a true proposition , it ought to have been demonstrated . But , indeed , this Proposition , which makes the 10th Defini- tion of the 11th Book , is not true universally ...
Side 9
... demonstrated . PROP . V. THEOR . THE angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be pro- duced the angles upon the other side of the base shall be equal . , Let ABC be an Isosceles ...
... demonstrated . PROP . V. THEOR . THE angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be pro- duced the angles upon the other side of the base shall be equal . , Let ABC be an Isosceles ...
Side 10
... demonstrated , that the whole angle ABG is equal to the whole ACF , the parts of which , the angles CBG , BCF are also equal ; the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of ...
... demonstrated , that the whole angle ABG is equal to the whole ACF , the parts of which , the angles CBG , BCF are also equal ; the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of ...
Side 11
... BCD . Again , because CB is equal to DB , the angle BDC is equal to the angle BCD ; but it has been demonstrated to be greater than it ; which is impossible . A B 5.1 Book I. E F But if one of the vertices OF EUCLID . 11.
... BCD . Again , because CB is equal to DB , the angle BDC is equal to the angle BCD ; but it has been demonstrated to be greater than it ; which is impossible . A B 5.1 Book I. E F But if one of the vertices OF EUCLID . 11.
Side 14
... demonstrated , that two straight lines cannot have a common 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 ...
... demonstrated , that two straight lines cannot have a common 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 ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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