The Elements of Euclid |
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Side 235
From this it is manifest that prisms upon triangular bases , of the same altitude ,
are to one another as their bases , Let the prisms , the bases of which are the
triangles AEM , CFG , and NBO , PDQ the triangles opposite to them , have the
same ...
From this it is manifest that prisms upon triangular bases , of the same altitude ,
are to one another as their bases , Let the prisms , the bases of which are the
triangles AEM , CFG , and NBO , PDQ the triangles opposite to them , have the
same ...
Side 236
CF ; wherefore the prisms , which are their halvesd , aré to one ad another as the
base AE to the base CF ; that is , as the triangle d 28. 11 . AEM to the triangle
CFG . PROP . XXXIII . THEOR . SIMILAR solid parallelopipeds are one to another
in ...
CF ; wherefore the prisms , which are their halvesd , aré to one ad another as the
base AE to the base CF ; that is , as the triangle d 28. 11 . AEM to the triangle
CFG . PROP . XXXIII . THEOR . SIMILAR solid parallelopipeds are one to another
in ...
Side 251
If there be two triangular prisms of the same altitude , the base of one of which is
a parallelogram , and the base of the other a triangle ; if the parallelogram be
double of the triangle , the prisms shall be equal to one another . Let the prisms ...
If there be two triangular prisms of the same altitude , the base of one of which is
a parallelogram , and the base of the other a triangle ; if the parallelogram be
double of the triangle , the prisms shall be equal to one another . Let the prisms ...
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
... the triangle GFC : but when there are two prisms of the same altitude , of which
one has a parallelogram forits base and the other a triangle that is half of the
parallelogram , these prisms are a 40.11 . equal to one another ; therefore the
prism ...
... the triangle GFC : but when there are two prisms of the same altitude , of which
one has a parallelogram forits base and the other a triangle that is half of the
parallelogram , these prisms are a 40.11 . equal to one another ; therefore the
prism ...
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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 |