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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Side
... likewise is of the greatest use in the arts both of peace and war , to many of which geometry is absolutely necessary . This I have endeavoured to do , by taking away the inaccu- rate and false reasonings which unskilful editors have ...
... likewise is of the greatest use in the arts both of peace and war , to many of which geometry is absolutely necessary . This I have endeavoured to do , by taking away the inaccu- rate and false reasonings which unskilful editors have ...
Side 8
... likewise equal to AD ; whence AE and C are each of them equal to AD ; wherefore the straight line AE is equal 1 Ax . to ° C , and from AB , the greater of two straight lines , a part AE has been cut off equal to C the less . Which was ...
... likewise equal to AD ; whence AE and C are each of them equal to AD ; wherefore the straight line AE is equal 1 Ax . to ° C , and from AB , the greater of two straight lines , a part AE has been cut off equal to C the less . Which was ...
Side 9
... likewise the angles con- tained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal sides are opposite shall be equal , each to each . Which ...
... likewise the angles con- tained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal sides are opposite shall be equal , each to each . Which ...
Side 11
... likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in the extremity ...
... likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA , DA , terminated in the extremity ...
Side 12
... likewise greater than BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal to the angle BCD ; but BDC has been proved to be greater than the same BCD ; which is ...
... likewise greater than BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal to the angle BCD ; but BDC has been proved to be greater than the same BCD ; which is ...
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