The Elements of Euclid |
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Side 17
AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF ,
the base BC shall be equal to the base EF ; and the triangle ABC to the triangle
DEF ; and the other angles , to which the equal sides are opposite , shall be ...
AB to DE , and AC to DF ; A D Book I. and the angle BAC equal to the angle ÉDF ,
the base BC shall be equal to the base EF ; and the triangle ABC to the triangle
DEF ; and the other angles , to which the equal sides are opposite , shall be ...
Side 18
b Book I. equal to AC , and let the straight lines AB , AC be produced to SD and E
, the angle ABC shall be equal to the ... and the triangle AFC to the triangle AGB ;
and the remaining angles of the one pie jare equal to the remaining an- ja C ...
b Book I. equal to AC , and let the straight lines AB , AC be produced to SD and E
, the angle ABC shall be equal to the ... and the triangle AFC to the triangle AGB ;
and the remaining angles of the one pie jare equal to the remaining an- ja C ...
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
ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the F
triangle ACD , the angles ECD , FDC upon the other side of the base CD are a 5.
1 . equal a to one another , but the angle ECD is greater than the angle BCD ...
ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the F
triangle ACD , the angles ECD , FDC upon the other side of the base CD are a 5.
1 . equal a to one another , but the angle ECD is greater than the angle BCD ...
Side 21
BC is equal to EF ; therefore BC coinciding with EF , BA and Book I. AC shall
coincide with ED and DF ; for , if the base BC coincides with the base EF , but the
... TO bisect a given rectilineal angle , that is , to divide it into two equal angles .
BC is equal to EF ; therefore BC coinciding with EF , BA and Book I. AC shall
coincide with ED and DF ; for , if the base BC coincides with the base EF , but the
... TO bisect a given rectilineal angle , that is , to divide it into two equal 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
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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 |