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 Restored. Also the Book of Euclid's Data, in Like Manner CorrectedCuthell & Martin, London, 1803 - 520 sider |
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Resultat 1-3 av 84
Side 172
... because AG is equal to F ; and the parallelogramDH is contain- ed by CD and E ; because CH is equal to E : There- fore the rectangle contained by the straight lines AB , F is equal to that which is con- tained by CD and E ...
... because AG is equal to F ; and the parallelogramDH is contain- ed by CD and E ; because CH is equal to E : There- fore the rectangle contained by the straight lines AB , F is equal to that which is con- tained by CD and E ...
Side 422
... because upon the fame ftraight line AB the two rectilineal figures BD , BG given in fpecies are described , the ... because the angle ABC is given , the adjacent angle ABK is given ; and the angle ABE is given , therefore the remaining ...
... because upon the fame ftraight line AB the two rectilineal figures BD , BG given in fpecies are described , the ... because the angle ABC is given , the adjacent angle ABK is given ; and the angle ABE is given , therefore the remaining ...
Side 423
... because BE is to BK as LO to LM ; and as BK to BC , fo is LM to Q : And as BC to BA , fo Q was made to R ; there- fore , ex æquali , as BE to BA , fo is LO to R , that is to LN ; and the angles ABE , NLO are equal ; therefore the ...
... because BE is to BK as LO to LM ; and as BK to BC , fo is LM to Q : And as BC to BA , fo Q was made to R ; there- fore , ex æquali , as BE to BA , fo is LO to R , that is to LN ; and the angles ABE , NLO are equal ; therefore the ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone cylinder defcribed demonftrated drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepipeds parallelogram perpendicular prifm PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe tiple triangle ABC wherefore