The Elements of Euclid |
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Side vi
Equal and similar solid figures are those which are contained by similar planes of
- the saine number and magnitude . " Now this proposition is a theorem , not a
definition ; because the equality of figures of any kind must be demonstrated ,
and ...
Equal and similar solid figures are those which are contained by similar planes of
- the saine number and magnitude . " Now this proposition is a theorem , not a
definition ; because the equality of figures of any kind must be demonstrated ,
and ...
Side vii
... nor of this case is there any demonstration in the Elements we now have ,
though it is quite necessary there should be one . ... and all these propositions
have , for these reasons , been insufficiently demonstrated since Theon's time
hitherto .
... nor of this case is there any demonstration in the Elements we now have ,
though it is quite necessary there should be one . ... and all these propositions
have , for these reasons , been insufficiently demonstrated since Theon's time
hitherto .
Side 17
Which was . to be demonstrated . PROP . V. THEOR . The angles at the base of
an isosceles triangle are equal to one another ; and , if the equal sides be
produced , the angles upon the other side of the base shall be equal . Let ABC be
an ...
Which was . to be demonstrated . PROP . V. THEOR . The angles at the base of
an isosceles triangle are equal to one another ; and , if the equal sides be
produced , the angles upon the other side of the base shall be equal . Let ABC be
an ...
Side 18
... since it has been demonstrated , that the whole angle ABG is equal to the
whole ACF , the parts of which , the angles CBG , BCF are also equal ; the
remaining angle ABC is therefore equal to the remaining angle ACB , which are
the angles ...
... since it has been demonstrated , that the whole angle ABG is equal to the
whole ACF , the parts of which , the angles CBG , BCF are also equal ; the
remaining angle ABC is therefore equal to the remaining angle ACB , which are
the angles ...
Side 19
... therefore the A А B angle ADC is greater also than BCD ; much more then is
the angle BDC greater than the angle BCD . Again , because CB is equal to DB ,
the angle BDC is fequal a to the angle BCD ; but it has been demonstrated to be
a ...
... therefore the A А B angle ADC is greater also than BCD ; much more then is
the angle BDC greater than the angle BCD . Again , because CB is equal to DB ,
the angle BDC is fequal a to the angle BCD ; but it has been demonstrated to be
a ...
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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 |