The Elements of Euclid |
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Side 11
And this point is called the centre of the circle . XVII . A diameter of a circle is a
straight line drawn through the centre , and terminated both ways by the
circumference . XVIII . A semicircle is the figure contained by a diameter and the
part of the ...
And this point is called the centre of the circle . XVII . A diameter of a circle is a
straight line drawn through the centre , and terminated both ways by the
circumference . XVIII . A semicircle is the figure contained by a diameter and the
part of the ...
Side 13
And that a circle may be described from any centre , at any dig . tance from that
centre . AXIOMS . 1 . THINGS which are equal to the same are equal to one
another . II . If equals be added to equals , the wholes are equal . III . If equals be
taken ...
And that a circle may be described from any centre , at any dig . tance from that
centre . AXIOMS . 1 . THINGS which are equal to the same are equal to one
another . II . If equals be added to equals , the wholes are equal . III . If equals be
taken ...
Side 15
Let AB be the given straight line ; it is required to describe an equilateral triangle
upon it . с From the centre A , at the distance AB , describe a the circle & 3.
PostuBCD , and from the centre B , at late . the distance BA , describe the A circle
ACE ...
Let AB be the given straight line ; it is required to describe an equilateral triangle
upon it . с From the centre A , at the distance AB , describe a the circle & 3.
PostuBCD , and from the centre B , at late . the distance BA , describe the A circle
ACE ...
Side 16
22 th Book I. Because the point B is the centre of the circle CGH , BC is equal e to
BG ; and because D is the centre of the circle GKL , e 15. Def . DL is equal to DG ,
and DA , DB , parts of them , are equal ; f 3. Ax . therefore the remainder AL is ...
22 th Book I. Because the point B is the centre of the circle CGH , BC is equal e to
BG ; and because D is the centre of the circle GKL , e 15. Def . DL is equal to DG ,
and DA , DB , parts of them , are equal ; f 3. Ax . therefore the remainder AL is ...
Side 23
It is required to draw a straight line с perpendicular to AB from the point C. Take
any point D upon the other side of AB , and from the centre C , at the distance H
CD , describe b the circle FDG AF b 3. Post . GB meeting AB in F , G ; and , biD ...
It is required to draw a straight line с perpendicular to AB from the point C. Take
any point D upon the other side of AB , and from the centre C , at the distance H
CD , describe b the circle FDG AF b 3. Post . GB meeting AB in F , G ; and , biD ...
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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 |