The Elements of Euclid |
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Side 341
... the similitude of the figures does not follow , except in the case when the
figures are triangles : the ' símilar position of ... In the preceding books ; Euclid
has given no definition of equal figures , and it is certain he did not give this : for
what is ...
... the similitude of the figures does not follow , except in the case when the
figures are triangles : the ' símilar position of ... In the preceding books ; Euclid
has given no definition of equal figures , and it is certain he did not give this : for
what is ...
Side 367
Rectilineal figures are said to be given in species , which have each of their
angles given , and the ratios of their sides given . IV . Points , lines , and spaces
are said to be given in position , which have always the same situation , and
which are ...
Rectilineal figures are said to be given in species , which have each of their
angles given , and the ratios of their sides given . IV . Points , lines , and spaces
are said to be given in position , which have always the same situation , and
which are ...
Side 387
are given : therefore FB the excess of AB above a given magnitude AF has a
given ratio to D. ” 25 . PROP . XXVIII . PROP . IF two lines given in position cut
one another , See N. the point or points in which they cut one another are given .
are given : therefore FB the excess of AB above a given magnitude AF has a
given ratio to D. ” 25 . PROP . XXVIII . PROP . IF two lines given in position cut
one another , See N. the point or points in which they cut one another are given .
Side 388
IF one of the extremities of a straight line given in position and magnitude be
given ; the other extremity shall also be given . Let the point A be given , to wit ,
one of the extremities of a straight line given in magnitude , and which lies in the
...
IF one of the extremities of a straight line given in position and magnitude be
given ; the other extremity shall also be given . Let the point A be given , to wit ,
one of the extremities of a straight line given in magnitude , and which lies in the
...
Side 389
IF a straight line be drawn to a given point in a straight line given in position , and
makes a given angle with it ; that straight line is given in position . Let AB be a
straight line given in position , and C a given point in it , the straight line drawn F
to ...
IF a straight line be drawn to a given point in a straight line given in position , and
makes a given angle with it ; that straight line is given in position . Let AB be a
straight line given in position , and C a given point in it , the straight line drawn F
to ...
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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 |