The Elements of Euclid |
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Side 198
A cylinder is a solid figure described by the revolution of a right angled
parallelogram about one of its sides , which re . mains fixed . XXII . The axis of a
cylinder is the fixed straight line about which the parallelogram revolves . XXIII .
The bases ...
A cylinder is a solid figure described by the revolution of a right angled
parallelogram about one of its sides , which re . mains fixed . XXII . The axis of a
cylinder is the fixed straight line about which the parallelogram revolves . XXIII .
The bases ...
Side 269
EVERY cone is the third part of a cylinder which has the same base , and is of an
equal altitude with it . Let a cone have the same base with a cylinder , viz . the
circle ABCD , and the såme altitude . The cone is the third part of the cylinder ;
that ...
EVERY cone is the third part of a cylinder which has the same base , and is of an
equal altitude with it . Let a cone have the same base with a cylinder , viz . the
circle ABCD , and the såme altitude . The cone is the third part of the cylinder ;
that ...
Side 270
1 270 THE ELEMENTS Book XI1 Upon the square ABCD erect a prism of the
same altitude with the cylindçr ; this prism is greater than half of the cylinder ;
because if a square be described about the circle , and å prism erected upon the
...
1 270 THE ELEMENTS Book XI1 Upon the square ABCD erect a prism of the
same altitude with the cylindçr ; this prism is greater than half of the cylinder ;
because if a square be described about the circle , and å prism erected upon the
...
Side 271
Book XII . der , that is , the prism of which the base is the polygon AEBFCGDH ,
and of which the altitude is the same with that of the cylinder , is greater than the
triple of the cone ; but this prism is tripled of the pyramid upon the same base , of
...
Book XII . der , that is , the prism of which the base is the polygon AEBFCGDH ,
and of which the altitude is the same with that of the cylinder , is greater than the
triple of the cone ; but this prism is tripled of the pyramid upon the same base , of
...
Side 272
H ? " Book XII . the third part of the cylinder . ... But it is also less ; for it is
contained within the cylinder ; which is impossible . ... See Note , CONES and
cylinders of the same altitude , are to one another as their bases . mor Let the
cones and ...
H ? " Book XII . the third part of the cylinder . ... But it is also less ; for it is
contained within the cylinder ; which is impossible . ... See Note , CONES and
cylinders of the same altitude , are to one another as their bases . mor Let the
cones and ...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1825 |
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Euclid,Robert Simson Uten tilgangsbegrensning - 1838 |
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1892 |
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 divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prisms 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 taken THEOR third triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | The Elements of Euclid |
| Forfattere | Euclid, Robert Simson |
| Redaktør | Robert Simson |
| Utgiver | Johnson and Warner, 1811 |
| Original fra | University of Chicago |
| Digitalisert | 17. jun 2013 |
| Lengde | 518 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |