The Elements of Euclid |
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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
AD ; join DE and upon it describe b А b1.1 . an equilateral triangle DEF ; then join
AF ; the straight line AF bisects the angle BAC . Because AD is equal to AE , and
D E AF is common to the two triangles DAF , EAF ; the two sides DA , AF , are ...
AD ; join DE and upon it describe b А b1.1 . an equilateral triangle DEF ; then join
AF ; the straight line AF bisects the angle BAC . Because AD is equal to AE , and
D E AF is common to the two triangles DAF , EAF ; the two sides DA , AF , are ...
Side 22
I. upon DE describe the equiF b1.1 lateral triangle DFE , and join FC ; the straight
line FC drawn from the given point C is at right angles to the given straight line
AB . Because DC is equal to CE , and FC common to the two sein , triangles DCF
...
I. upon DE describe the equiF b1.1 lateral triangle DFE , and join FC ; the straight
line FC drawn from the given point C is at right angles to the given straight line
AB . Because DC is equal to CE , and FC common to the two sein , triangles DCF
...
Side 26
A Bisect • AC in E , join BE and produce it to F , and make EF equal to BE ; join
also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE ,
EB are equal to CE , EF , B each to each ; and the angle C AEB is equal b to the ...
A Bisect • AC in E , join BE and produce it to F , and make EF equal to BE ; join
also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE ,
EB are equal to CE , EF , B each to each ; and the angle C AEB is equal b to the ...
Side 27
D Let ABC be a triangle , of which А the side AC is greater than the side AB ; the
angle ABC , is also greater than the angle BCA . Because AC is greater than AB ,
make a AD equal to AB , and join a 3. 1 . BD ; and because ADB is the exterior ...
D Let ABC be a triangle , of which А the side AC is greater than the side AB ; the
angle ABC , is also greater than the angle BCA . Because AC is greater than AB ,
make a AD equal to AB , and join a 3. 1 . BD ; and because ADB is the exterior ...
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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 |