The Elements of Euclid |
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Side viii
1 ing , is promoted as far as the limited powers of the mind allow ; and which
likewise is of the greatest use in the arts both of peace and war , to many of which
geometry is absolute . lyʻnecessary . This I have endeavoured to do , by taking ...
1 ing , is promoted as far as the limited powers of the mind allow ; and which
likewise is of the greatest use in the arts both of peace and war , to many of which
geometry is absolute . lyʻnecessary . This I have endeavoured to do , by taking ...
Side 16
Post , tance AD , describe b the circle DEF ; and hecause A is the cenF tre of the
circle DEF , AE shall be equal to AD ; but the straight line C is likewise equal to
AD ; whence AE and C are each of them equal to AD ; wherefore the straight line
...
Post , tance AD , describe b the circle DEF ; and hecause A is the cenF tre of the
circle DEF , AE shall be equal to AD ; but the straight line C is likewise equal to
AD ; whence AE and C are each of them equal to AD ; wherefore the straight line
...
Side 17
Therefore , if two triangles have two sides of the one equal to two sides of the
other , each to each , and have likewise the angles contained by those sides
equal to one another , their bases shall likewise be equal , and the triangles be
equal ...
Therefore , if two triangles have two sides of the one equal to two sides of the
other , each to each , and have likewise the angles contained by those sides
equal to one another , their bases shall likewise be equal , and the triangles be
equal ...
Side 19
... extremity of the base Soc Note . equal to one another , and likewise those
which are terminated in the other extremity . If it be possible , let there be two
triangles ACB , ADB , up . on the same base AB , and upon the same side of it ,
which ...
... extremity of the base Soc Note . equal to one another , and likewise those
which are terminated in the other extremity . If it be possible , let there be two
triangles ACB , ADB , up . on the same base AB , and upon the same side of it ,
which ...
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
...
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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