The Elements of Euclid |
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Side 11
Book I. A circle is a plane figure contained by one line , which is called the
circumference , and is such that all straight lines drawn from a certain point within
the figure to the circumference , are equal to one another : XVI . And this point is ...
Book I. A circle is a plane figure contained by one line , which is called the
circumference , and is such that all straight lines drawn from a certain point within
the figure to the circumference , are equal to one another : XVI . And this point is ...
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 ...
Side 69
IF any two points be taken in the circumference of a circle , the straight line which
joins them shall fall within the circle . C > Let ABC be a circle , and A , B any two
points in the circumference ; the straight line drawn from A to B shall fall within ...
IF any two points be taken in the circumference of a circle , the straight line which
joins them shall fall within the circle . C > Let ABC be a circle , and A , B any two
points in the circumference ; the straight line drawn from A to B shall fall within ...
Side 70
In the same manner it may be demonstrated that it does not fall upon the
circumference ; it falls therefore within it . Wherefore , if any two points , & c .
Q. E. D. 33 PROP . III . THEOR . IF a straight line drawn through the centre of a
circle bisect a ...
In the same manner it may be demonstrated that it does not fall upon the
circumference ; it falls therefore within it . Wherefore , if any two points , & c .
Q. E. D. 33 PROP . III . THEOR . IF a straight line drawn through the centre of a
circle bisect a ...
Side 73
If any point be taken in the diameter of a circle , which is not the centre , of all the
straight lines which can be drawn from it to the circumference , the greatest is that
in which the centre is , and the other part of that diameter is the least ; and , of ...
If any point be taken in the diameter of a circle , which is not the centre , of all the
straight lines which can be drawn from it to the circumference , the greatest is that
in which the centre is , and the other part of that diameter is the least ; and , of ...
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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 |