The Elements of Euclid |
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Side 16
Wherefore from the given point A a straight line AL has been drawn equal to the
given straight line BC . Which was to be done . sh E NO th 11 Y 21 . a A 1 В 2 с #
2 21 PROP . III . PROB . t + FROM the greater of two given straight lines to cut off
...
Wherefore from the given point A a straight line AL has been drawn equal to the
given straight line BC . Which was to be done . sh E NO th 11 Y 21 . a A 1 В 2 с #
2 21 PROP . III . PROB . t + FROM the greater of two given straight lines to cut off
...
Side 17
Wherefore the whole triangle ABC shall coincide with the whole triangle DEF ,
and be equal to it ; and the other angles of the one shall coincide with the
remaining angles of the other , and be equal to them , viz . the angle ABC to the
angle ...
Wherefore the whole triangle ABC shall coincide with the whole triangle DEF ,
and be equal to it ; and the other angles of the one shall coincide with the
remaining angles of the other , and be equal to them , viz . the angle ABC to the
angle ...
Side 21
... and likewise their sides terminated in the other extremity ; but this is impossible
; . therefore , if the basc BC coincides with a 7.1 . the base ÉF , the sides BA , AC
cannot but coincide with the sides ED , DF ; wherefore likewise the angle BAC ...
... and likewise their sides terminated in the other extremity ; but this is impossible
; . therefore , if the basc BC coincides with a 7.1 . the base ÉF , the sides BA , AC
cannot but coincide with the sides ED , DF ; wherefore likewise the angle BAC ...
Side 33
... therefore the angle GSB is equal to the angle DFE ; but DFE is , by the
hypothesis , equal to the angle BCA ; wherefore also the angle BCG is equal to
the angle BCA , the less to the greater , which is impossible ; therefore AB is not
unequal ...
... therefore the angle GSB is equal to the angle DFE ; but DFE is , by the
hypothesis , equal to the angle BCA ; wherefore also the angle BCG is equal to
the angle BCA , the less to the greater , which is impossible ; therefore AB is not
unequal ...
Side 42
Wherefore triangles , & c . Q. E. D. PROP . XXXVIII . THEOR . TRIANGLES upon
equal bases , and between the same parallels , are equal to one another . Let the
triangles ABC , DEF be upon equal bases BC , EF , and between the same ...
Wherefore triangles , & c . Q. E. D. PROP . XXXVIII . THEOR . TRIANGLES upon
equal bases , and between the same parallels , are equal to one another . Let the
triangles ABC , DEF be upon equal bases BC , EF , and between 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 |