The Elements of Euclid |
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Side 11
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 circumference cut off by that diameter . XIX .
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 circumference cut off by that diameter . XIX .
Side 39
THE opposite sides and angles of parallelograms are equal to one another , and
the diameter bisects them that is , divides them into two equal parts . N B. A
parallelogram is a four sided figure , of which the opposite sides ure parallel ; and
the ...
THE opposite sides and angles of parallelograms are equal to one another , and
the diameter bisects them that is , divides them into two equal parts . N B. A
parallelogram is a four sided figure , of which the opposite sides ure parallel ; and
the ...
Side 40
equal to the angle BCD ; therefore the triangle ABC is equal c to the triangle BCD
, and the diameter BC divides the parallelogram ACDB into two equal parts .
Q. E. D. C 4 , 1 . PROP . XXXV . THEOR . See Note . ? PARALLELOGRAMS upon
...
equal to the angle BCD ; therefore the triangle ABC is equal c to the triangle BCD
, and the diameter BC divides the parallelogram ACDB into two equal parts .
Q. E. D. C 4 , 1 . PROP . XXXV . THEOR . See Note . ? PARALLELOGRAMS upon
...
Side 41
... and EBCA is equal 6 to DBCF , because b 35. 1 . they are upon the same base
BC , and between the same parallels BC , EF ; and the triangle ABC is the half of
the parallelocause the diameter DF bisects it : but the halves of OF EUCLID .
... and EBCA is equal 6 to DBCF , because b 35. 1 . they are upon the same base
BC , and between the same parallels BC , EF ; and the triangle ABC is the half of
the parallelocause the diameter DF bisects it : but the halves of OF EUCLID .
Side 42
cause the diameter DF bisects it : but the halves of equal Book 1. gram EBCA ,
because the diameter AB bisects e it ; and the triangle DBC is the half of the
parallelogram DBCF , because C 34. 1 . the diameter DC bisects it : but the
halves of ...
cause the diameter DF bisects it : but the halves of equal Book 1. gram EBCA ,
because the diameter AB bisects e it ; and the triangle DBC is the half of the
parallelogram DBCF , because C 34. 1 . the diameter DC bisects it : but the
halves 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 |