The Elements of Euclid |
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Side 34
IF a straight line falling upon two other straight lines make the alternate angles
equal to one another , these two straight lines shall be parallel . Let the straight
line EF , which falls upon the two straight lines AB , CD make the alternate angles
...
IF a straight line falling upon two other straight lines make the alternate angles
equal to one another , these two straight lines shall be parallel . Let the straight
line EF , which falls upon the two straight lines AB , CD make the alternate angles
...
Side 35
BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ;
and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a
straight line , & c . Q. E : D . 1 PROP . XXIX . TIIEOR . IF a straight line fall upon
two ...
BGH ; therefore the remaining angle AGH is equal to the remaining angle GHD ;
and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a
straight line , & c . Q. E : D . 1 PROP . XXIX . TIIEOR . IF a straight line fall upon
two ...
Side 36
STRAIGHT lines which are parallel to the same straigin line are parallel to one
another . Let AB , CD , be each of them parallel to EF ; AB is also parallel to CD .
Let the straight line GHK cut AB , EF , CD ; and because GHK cuts the parallel ...
STRAIGHT lines which are parallel to the same straigin line are parallel to one
another . Let AB , CD , be each of them parallel to EF ; AB is also parallel to CD .
Let the straight line GHK cut AB , EF , CD ; and because GHK cuts the parallel ...
Side 37
EAF is drawn through the given point A parallel to the given Book I. straight line
BC . Which was to be done . PROP . XXXII . THEOR . 3 E . Db 99.1 IF a side of
any triangle be produced , the exterior angle is equal to the two interior and ...
EAF is drawn through the given point A parallel to the given Book I. straight line
BC . Which was to be done . PROP . XXXII . THEOR . 3 E . Db 99.1 IF a side of
any triangle be produced , the exterior angle is equal to the two interior and ...
Side 38
Join BC ; and because AB is parallel to CD , and BC meets them , C the alternate
angles ABC , BCD are equala ; and because AB is equal to CD , and BC
common to the two triangles ABC , DCB , the two sides AB , BC are equal to the
two DC ...
Join BC ; and because AB is parallel to CD , and BC meets them , C the alternate
angles ABC , BCD are equala ; and because AB is equal to CD , and BC
common to the two triangles ABC , DCB , the two sides AB , BC are equal to the
two DC ...
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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 |