The Elements of Euclid |
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Side 11
A segment of a circle is the figure contained by a straight “ line , and the
circumference it cuts off . ” XX . Rectilineal figures are those which are contained
by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII
.
A segment of a circle is the figure contained by a straight “ line , and the
circumference it cuts off . ” XX . Rectilineal figures are those which are contained
by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII
.
Side 22
By help of this problem , it may be demonstrated , that two straight lines cannot
have a common segment . If it be possible , let the two straight lines ABC , ABD
have the segment AB common to both of them . From the poirt B draw BE at right
...
By help of this problem , it may be demonstrated , that two straight lines cannot
have a common segment . If it be possible , let the two straight lines ABC , ABD
have the segment AB common to both of them . From the poirt B draw BE at right
...
Side 23
... is straight line , the angle DBE is equal to the angle EBA ; where . fore the
angle DBE is equal to the angle CBE , the less to the greater ; which is
impossible ; therefore twostraight lines canA not have a common segment .
PROP . XII . PROB .
... is straight line , the angle DBE is equal to the angle EBA ; where . fore the
angle DBE is equal to the angle CBE , the less to the greater ; which is
impossible ; therefore twostraight lines canA not have a common segment .
PROP . XII . PROB .
Side 67
... distant from the centre of a circle , when the perpendiculars drawn to them from
the centre are equal . V. And the straight line on which the greater perpendicular
falls , is said to be farther from the centre . C Book III . VI . A segment of a circle 1 ...
... distant from the centre of a circle , when the perpendiculars drawn to them from
the centre are equal . V. And the straight line on which the greater perpendicular
falls , is said to be farther from the centre . C Book III . VI . A segment of a circle 1 ...
Side 68
A segment of a circle is the figure contained by a straight line and the
circumference it cuts off . VII . « The angle of a segment is that which is contained
by the straight line and the circumference . " VIII . An angle in a segment is the
angle ...
A segment of a circle is the figure contained by a straight line and the
circumference it cuts off . VII . « The angle of a segment is that which is contained
by the straight line and the circumference . " VIII . An angle in a segment is the
angle ...
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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 |