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 |
Inni boken
Resultat 1-5 av 100
Side 10
... common to the two triangles AFC , AGB ; 4. 1. therefore the base FC is equal to the base GB , and the triangle AFC to the triangle AGB ; and the remain- ing angles of the one are equal to the remaining angles of the other , each to each ...
... common to the two triangles AFC , AGB ; 4. 1. therefore the base FC is equal to the base GB , and the triangle AFC to the triangle AGB ; and the remain- ing angles of the one are equal to the remaining angles of the other , each to each ...
Side 11
... common to both the two sides , DB , BC are equal to the two AC , CB each to each ; and the angle DBC is equal to the angle ACB ; therefore the base DC is equal to the base AB , and the triangle DBC is equal to the triangle ACB , the ...
... common to both the two sides , DB , BC are equal to the two AC , CB each to each ; and the angle DBC is equal to the angle ACB ; therefore the base DC is equal to the base AB , and the triangle DBC is equal to the triangle ACB , the ...
Side 13
... common to the two triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF , each to each ; and the base DF is equal to the base EF ; there- fore the angle DAF is equal to the angle EAF : wherefore the given ...
... common to the two triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF , each to each ; and the base DF is equal to the base EF ; there- fore the angle DAF is equal to the angle EAF : wherefore the given ...
Side 14
... common to the two triangles ACD , BCD ; the two sides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; there- 4. 1. fore the base AD is equal to the base DB , and the straight line AB is ...
... common to the two triangles ACD , BCD ; the two sides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; there- 4. 1. fore the base AD is equal to the base DB , and the straight line AB is ...
Side 15
... common 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 ...
... common 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 ...
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