The Elements of Euclid |
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Side 197
A pyramid is a solid figure contained by planes that are constituted betwixt one
plane and one point above it in which they meet . XIII . A prism is a solid figure
contained by plane figures , of which two that are opposite are equal , similar ,
and ...
A pyramid is a solid figure contained by planes that are constituted betwixt one
plane and one point above it in which they meet . XIII . A prism is a solid figure
contained by plane figures , of which two that are opposite are equal , similar ,
and ...
Side 257
THEOR , EVERY pyramid having a triangular base , may See Note , be divided
into two equal and similar pyramids having triangular bases , and which are
similar to the whole pyramid ; and into two equal prisms which together are
greater ...
THEOR , EVERY pyramid having a triangular base , may See Note , be divided
into two equal and similar pyramids having triangular bases , and which are
similar to the whole pyramid ; and into two equal prisms which together are
greater ...
Side 258
Therefore the pyramid of which the base is the triangle AEG , and of which the
vertex 1 C , 11 . is the point H , is equals and similar to the pyramid the base of
which is the triangle KHL , and vertex the point D : and because HK is parallel to
D ...
Therefore the pyramid of which the base is the triangle AEG , and of which the
vertex 1 C , 11 . is the point H , is equals and similar to the pyramid the base of
which is the triangle KHL , and vertex the point D : and because HK is parallel to
D ...
Side 259
HKL : and it is manifest that each of these prisms is greater sind than either of the
pyramids of which the triangles AEG ... the pyramid of which the base is the
triangle EBF , and ver , tex the point K ; but this pyramid is equal < to the pyramid
c c .
HKL : and it is manifest that each of these prisms is greater sind than either of the
pyramids of which the triangles AEG ... the pyramid of which the base is the
triangle EBF , and ver , tex the point K ; but this pyramid is equal < to the pyramid
c c .
Side 260
IF there be two pyramids of the same altitude , upon triangular bases , and each
of them be divided into two equal pyramids similar to the whole pyramid , and
also into two equal prisms ; and if each of these pyramids be divided in the same
...
IF there be two pyramids of the same altitude , upon triangular bases , and each
of them be divided into two equal pyramids similar to the whole pyramid , and
also into two equal prisms ; and if each of these pyramids be divided in the same
...
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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 |