The Elements of Euclid |
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Side 16
PROB . t + FROM the greater of two given straight lines to cut off a part equal to
the less . Let AB and C be the two given straight lines , whereof AB is the greater .
It is required to cut off from AB , the greater , a part equal to C , the less . А a 2.
PROB . t + FROM the greater of two given straight lines to cut off a part equal to
the less . Let AB and C be the two given straight lines , whereof AB is the greater .
It is required to cut off from AB , the greater , a part equal to C , the less . А a 2.
Side 19
Let ABC be a triangle having the angle ABC equal to the Book L angle ACB ; the
side AB is also equal to the side Ac . For if AB be not equal to AC , one of them is
greater than the other : let AB be the greater , and from it cut off DB . 3. 1 . equal ...
Let ABC be a triangle having the angle ABC equal to the Book L angle ACB ; the
side AB is also equal to the side Ac . For if AB be not equal to AC , one of them is
greater than the other : let AB be the greater , and from it cut off DB . 3. 1 . equal ...
Side 20
1 . equal a to one another , but the angle ECD is greater than the angle BCD ;
wherefore the angle FDC is likewise greater than BCD ; much more than is the
angle BDC greater then the angle BCD . Again , because CB is equal to DB , the
...
1 . equal a to one another , but the angle ECD is greater than the angle BCD ;
wherefore the angle FDC is likewise greater than BCD ; much more than is the
angle BDC greater then the angle BCD . Again , because CB is equal to DB , the
...
Side 26
IF one side of a triangle be produced , the exterior angle is greater than either of
the interior opposite angles . Let ABC be a triangle , and let its side BC be
produced to D , the exterior angle ACD is greater than either of the interior
opposite ...
IF one side of a triangle be produced , the exterior angle is greater than either of
the interior opposite angles . Let ABC be a triangle , and let its side BC be
produced to D , the exterior angle ACD is greater than either of the interior
opposite ...
Side 27
1 these add the angle ACB ; therefore the angles ACD , ACB Book I. are greater
than the angles ABC , ACB ; but ACD , ACB are together equal b to owo right
angles ; therefore the angles b 13. 1 . ABC , BCA are less than two right angles .
1 these add the angle ACB ; therefore the angles ACD , ACB Book I. are greater
than the angles ABC , ACB ; but ACD , ACB are together equal b to owo right
angles ; therefore the angles b 13. 1 . ABC , BCA are less than two right angles .
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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 |