The Elements of Euclid |
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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
PARALLELOGRAMS upon equal bases , and between the same parallels , are
equal to one another . с Let ABCD , EFGH be A D E H parallelograms upon equal
bases BC , FG , and between the same parallels AH , BG ; the parallelogram ...
PARALLELOGRAMS upon equal bases , and between the same parallels , are
equal to one another . с Let ABCD , EFGH be A D E H parallelograms upon equal
bases BC , FG , and between the same parallels AH , BG ; the parallelogram ...
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 ...
Side 43
Q. E. D. PROP . XLI . THEOR . IF a parallelogram and triangle be uport the same
base , and between the same parallels ; the parallel - gram shall be double of the
triangle . Book I. Let the parallelogram ABCD and the triangle EBC OF EUCLID ...
Q. E. D. PROP . XLI . THEOR . IF a parallelogram and triangle be uport the same
base , and between the same parallels ; the parallel - gram shall be double of the
triangle . Book I. Let the parallelogram ABCD and the triangle EBC OF EUCLID ...
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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 |