The Elements of Euclid |
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Side 18
Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the
two GA , AB , each to each ; and they contain the angle FAG common to the two
triangles AFC , AGB ; as therefore the base FC is equal to the base GB , and the ...
Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the
two GA , AB , each to each ; and they contain the angle FAG common to the two
triangles AFC , AGB ; as therefore the base FC is equal to the base GB , and the ...
Side 19
1 . equal to AC , the less , and join DC ; thereА fore , because in the triangles
DBC , ACB , DB is equal to AC , and BC common to D both , the two sides DB ,
BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to
the ...
1 . equal to AC , the less , and join DC ; thereА fore , because in the triangles
DBC , ACB , DB is equal to AC , and BC common to D both , the two sides DB ,
BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to
the ...
Side 21
Because AD is equal to AE , and D E AF is common to the two triangles DAF ,
EAF ; the two sides DA , AF , are equal to the sides EA , AF , each to each ; ne
base DF is equal to the " ' ; therefore the angle DAF is ty . c to the angle B Cc & L
EAF ...
Because AD is equal to AE , and D E AF is common to the two triangles DAF ,
EAF ; the two sides DA , AF , are equal to the sides EA , AF , each to each ; ne
base DF is equal to the " ' ; therefore the angle DAF is ty . c to the angle B Cc & L
EAF ...
Side 22
BCD ; the two sides AC , CD are equal Book I. Because AC is equal to CB , and
CD common to i two ' triangles " ACD , thels 0 4,1 , to BC , CD , each to each ; and
the angle AGD is equal to the angle BCD ; there fore the base AD is equal to the
...
BCD ; the two sides AC , CD are equal Book I. Because AC is equal to CB , and
CD common to i two ' triangles " ACD , thels 0 4,1 , to BC , CD , each to each ; and
the angle AGD is equal to the angle BCD ; there fore the base AD is equal to the
...
Side 23
... is straight line , the angle DBE is equal to the angle EBA ; where . fore the
angle DBE is equal to the angle CBE , the less to the greater ; which is
impossible ; therefore twostraight lines canA not have a common segment .
PROP . XII . PROB .
... is straight line , the angle DBE is equal to the angle EBA ; where . fore the
angle DBE is equal to the angle CBE , the less to the greater ; which is
impossible ; therefore twostraight lines canA not have a common segment .
PROP . XII . PROB .
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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 |