The Elements of Euclid |
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Side 71
IF in a circle two straight lines cut one another which do not both pass through the
centre , they do not bisect each other . F Let ABCD be a circle , and AC , BD two
straight lines in.it which cut one another in the point E , and do not both pass ...
IF in a circle two straight lines cut one another which do not both pass through the
centre , they do not bisect each other . F Let ABCD be a circle , and AC , BD two
straight lines in.it which cut one another in the point E , and do not both pass ...
Side 73
... and from the same point there can be drawn only two straight lines that are
equal to one another , one upon each side of the shortest line . . r Let ABCD be a
circle , and AD its diameter , in which let any point F be taken which is not the
centre ...
... and from the same point there can be drawn only two straight lines that are
equal to one another , one upon each side of the shortest line . . r Let ABCD be a
circle , and AD its diameter , in which let any point F be taken which is not the
centre ...
Side 80
See Note . , THE diameter is the greatest straight line in a circle ; and , of all
others , that which is nearer to the centre is always greater than one more remote
; and the greater is nearer to the centre than the less . Let ABCD be a circle , of
which ...
See Note . , THE diameter is the greatest straight line in a circle ; and , of all
others , that which is nearer to the centre is always greater than one more remote
; and the greater is nearer to the centre than the less . Let ABCD be a circle , of
which ...
Side 85
ABC be a circle , and BEC an angle at the centre , and Book III . BAC an'angle at
the circumference , which have the same circumference BC for their base ; the
angle A BEC is double of the angle BAC . / First , Lęt E the centre of the circle be
...
ABC be a circle , and BEC an angle at the centre , and Book III . BAC an'angle at
the circumference , which have the same circumference BC for their base ; the
angle A BEC is double of the angle BAC . / First , Lęt E the centre of the circle be
...
Side 86
... the angles in the same seg . inent , & c . Q. E. D. Loti Le PROP . XXII . THEOR .
THE opposite angles of any quadrilateral figure de scribed in a circle , are
together equal to two right angles . a 32. 1 . b 21. 3 . Let ABCD be a quadrilateral
figure ...
... the angles in the same seg . inent , & c . Q. E. D. Loti Le PROP . XXII . THEOR .
THE opposite angles of any quadrilateral figure de scribed in a circle , are
together equal to two right angles . a 32. 1 . b 21. 3 . Let ABCD be a quadrilateral
figure ...
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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 |