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
... by the same number of simiIdr plane figures , which are not similar to one
another , in the true sense of similarity received by all geometers ; and all these
propositions have , for these reasons , been insufficiently demonstrated since
Theon's ...
... by the same number of simiIdr plane figures , which are not similar to one
another , in the true sense of similarity received by all geometers ; and all these
propositions have , for these reasons , been insufficiently demonstrated since
Theon's ...
Side 68
Similar segments of a circle , are those in which the angles are cqual , or which
contain equal angles . A 392 PROP . I. PROB . See Notes TO find the centre of a
given circle . a 10. 1 , b 11.1 , Let ABC be the given circle ; it is required to find its
...
Similar segments of a circle , are those in which the angles are cqual , or which
contain equal angles . A 392 PROP . I. PROB . See Notes TO find the centre of a
given circle . a 10. 1 , b 11.1 , Let ABC be the given circle ; it is required to find its
...
Side 87
UPON the same straight line , and upon the same See Note : side of it , there
cannot be two similar segments of circles , not coinciding with one another . If it
be possible , let the two similar segments of circles , viz . ACB , ABD be upon the
...
UPON the same straight line , and upon the same See Note : side of it , there
cannot be two similar segments of circles , not coinciding with one another . If it
be possible , let the two similar segments of circles , viz . ACB , ABD be upon the
...
Side 88
C Book 1/1 . because AB is equal to CD : therefore'the straight line AB coinciding
with CD , the segment AEB must a coincide with a 23. 3 . the segment CFD , and
therefore is equal to it . Wherefore , similar segments , & c . Q. E. D. " 41 PROP .
C Book 1/1 . because AB is equal to CD : therefore'the straight line AB coinciding
with CD , the segment AEB must a coincide with a 23. 3 . the segment CFD , and
therefore is equal to it . Wherefore , similar segments , & c . Q. E. D. " 41 PROP .
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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 |