The Elements of Euclid; viz. the first six books, together with the eleventh and twelfth. Also the book of Euclid's Data. By R. Simson. To which is added, A treatise on the construction of the trigonometrical canon [by J. Christison] and A concise account of logarithms [by A. Robertson].

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1814
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Side 262
A Book XII . and a prism erected upon the square , of the same altitude with the
cylinder , the inscribed square is half of that circumscribed ; and upon these
square bases are erected solid parallelopipeds , viz . the prisms of the same
altitude ...
Side 272
1 . the circumference of a circle a ; of which the centre is the point K : ' Therefore
the plane GH divides the cylinder AD into the cylinders AH , GD ; for they are the
same which would be described by the revolution of the parallelograms AK , GF ...
Side 273
lipder GQ ; and it has been demonstrated , if the axis KL Book XII . be greater
than the axis KM , the cylinder PG is greater than the cylinder GQ ; and if equal ,
equal ; and if less , less : Therefored the axis EK is to the axis KF , as the cylinder
& 5 ...
Side 274
See N . The bases and altitudes of equal cones and cylinders are reciprocally
proportional ; and if the bases and altitudes ... RI A greater of the two , and from
MN take MP equal to KL , IX - VIP and through the point P cut the cylinder EO by
the ...
Side 275
But let the bases and altitudes of the cylinders AX , EO be reciprocally
proportional , viz . the base ABCD to the base EFGH , as the altitude MN to the
altitude KL : The cylinder AX is equal to the cylinder EO . First , Let the base
ABCD be equal ...

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The Elements of Euclid; viz. the first six books, together with the eleventh ...
Euclides
Uten tilgangsbegrensning - 1834

Vanlige uttrykk og setninger

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equimultiples excess figure fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise logarithm magnitude manner meet multiple opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC Take taken THEOR third triangle ABC wherefore whole

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Bibliografisk informasjon

QR code for The Elements of Euclid; viz. the first six books, together with the eleventh and twelfth. Also the book of Euclid's Data. By R. Simson. To which is added, A treatise on the construction of the trigonometrical canon [by J. Christison] and A concise account of logarithms [by A. Robertson].
TittelThe Elements of Euclid; viz. the first six books, together with the eleventh and twelfth. Also the book of Euclid's Data. By R. Simson. To which is added, A treatise on the construction of the trigonometrical canon [by J. Christison] and A concise account of logarithms [by A. Robertson].
ForfatterEuclides
RedaktørRobert Simson
Utgave16
distribuert1814
Original fraOxford University
Digitalisert19. apr 2006
  
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