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 of Euclid's Data, in Like Manner Corr |
Inni boken
Resultat 1-5 av 58
Side 24
Ax . fore the angles CBE , EBD are equal to the three angles CBA , ABE , EBD . Again , because the angle DBA is equal to the two angles DBE , EBA , add to thefe equals the angle ABC , therefore the angles DBA , ABC are equal to the ...
Ax . fore the angles CBE , EBD are equal to the three angles CBA , ABE , EBD . Again , because the angle DBA is equal to the two angles DBE , EBA , add to thefe equals the angle ABC , therefore the angles DBA , ABC are equal to the ...
Side 26
1. fore the base AB is equal to the bafe CF , and the triangle AEB to the triangle CEF , and the remaining angles to the remaining angles , each to each , to which the equal fides are oppofite ; wherefore the angle BAE is equal to the ...
1. fore the base AB is equal to the bafe CF , and the triangle AEB to the triangle CEF , and the remaining angles to the remaining angles , each to each , to which the equal fides are oppofite ; wherefore the angle BAE is equal to the ...
Side 28
Book I. ABC would be lefs b than the angle ACB ; but it is not ; there fore the fide AC is not lefs than AB ; and it has been fhewn b 18. I that it is not equal to AB ; therefore AC is greater than AB . Wherefore the greater angle ...
Book I. ABC would be lefs b than the angle ACB ; but it is not ; there fore the fide AC is not lefs than AB ; and it has been fhewn b 18. I that it is not equal to AB ; therefore AC is greater than AB . Wherefore the greater angle ...
Side 53
If there fore a straight line , & c . QE . D. PROP . III . THEOR . IF F a ftraight line be divided into any two parts , the rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts ...
If there fore a straight line , & c . QE . D. PROP . III . THEOR . IF F a ftraight line be divided into any two parts , the rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts ...
Side 56
Where fore , if a straight line , & c . Q. E. D. 3 . 1 PROP . VI . THEOR . F a ftraight line be bifected , and produced to any . : thus produced , and the part of it produced , together with the fquare of half the line bifested ...
Where fore , if a straight line , & c . Q. E. D. 3 . 1 PROP . VI . THEOR . F a ftraight line be bifected , and produced to any . : thus produced , and the part of it produced , together with the fquare of half the line bifested ...
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
Andre utgaver - Vis alle
The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole