The Elements of Euclid |
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Side 13
The whole is greater than its part . Book I. X. Two straight lines cannot enclose a
space IX . OF EUCLID . 13 POSTULATES. ...
The whole is greater than its part . Book I. X. Two straight lines cannot enclose a
space IX . OF EUCLID . 13 POSTULATES. ...
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 18
... viz . the angle ACF to the angleABG , and the angle AFC to the angle AGB :
and because the whole AF is equal D E ito the wholé AG , of which the parts AB ,
AC , are equal ; the Auto renainder BF shall be equal to the remainder CG ; and
FC ...
... viz . the angle ACF to the angleABG , and the angle AFC to the angle AGB :
and because the whole AF is equal D E ito the wholé AG , of which the parts AB ,
AC , are equal ; the Auto renainder BF shall be equal to the remainder CG ; and
FC ...
Side 37
Again ; B С because AB is parallel to CE , and BD falls upon them , the exterior
angle ECD is equal to the interior and opposite angle ABC ; but the angle ACE
was shown to be equal to the angle BAC ; therefore the whole exterior angle
ACD is ...
Again ; B С because AB is parallel to CE , and BD falls upon them , the exterior
angle ECD is equal to the interior and opposite angle ABC ; but the angle ACE
was shown to be equal to the angle BAC ; therefore the whole exterior angle
ACD is ...
Side 39
... and the angle CBD to the angle ACB , the whole angle ABD is equal to the
whole angle ACD : and the angle BAC has been shown to be equal to the angle
BDC ; therefore the opposite sides and apgles of parallelograms are equal to one
...
... and the angle CBD to the angle ACB , the whole angle ABD is equal to the
whole angle ACD : and the angle BAC has been shown to be equal to the angle
BDC ; therefore the opposite sides and apgles of parallelograms are equal to one
...
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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 |