The Elements of Euclid |
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Side 155
III . A straight line is said to be cut in extreme and mean ratio , when the whole is
to the greater segment , as the greater segment is to the less . IV . The altitude of
any figure is the straight b . line drawn from its vertex perpendicular to the base . i
...
III . A straight line is said to be cut in extreme and mean ratio , when the whole is
to the greater segment , as the greater segment is to the less . IV . The altitude of
any figure is the straight b . line drawn from its vertex perpendicular to the base . i
...
Side 156
TRIANGLES and parallelograms of the same altitude are one to another as their
bases . Let the triangles ABC , ACD , and the parallelograms EC , CF , have the
same altitude , viz.the perpendicular drawn front the point A to BD : then , as the ...
TRIANGLES and parallelograms of the same altitude are one to another as their
bases . Let the triangles ABC , ACD , and the parallelograms EC , CF , have the
same altitude , viz.the perpendicular drawn front the point A to BD : then , as the ...
Side 157
Erom this it is plain , that triangles and parallelograms that haye equal altitudes ,
are one to another as their bases . Let the figures be placed so as to have their
bases in the same straight line ; and having drawn perpendiculars from the ...
Erom this it is plain , that triangles and parallelograms that haye equal altitudes ,
are one to another as their bases . Let the figures be placed so as to have their
bases in the same straight line ; and having drawn perpendiculars from the ...
Side 229
SOLID parallelopipeds upon the same base , and of the same altitude , the
insisting straight lines of which are terminated in the same straight lines in the
plane See Note : opposite to the basc , are equal to one another . Book XI . Let
the solid ...
SOLID parallelopipeds upon the same base , and of the same altitude , the
insisting straight lines of which are terminated in the same straight lines in the
plane See Note : opposite to the basc , are equal to one another . Book XI . Let
the solid ...
Side 230
Let the solid parallelopipeds AH , AK be upon the same base AB , and of the
same altitude , and let their insisting straight See the lines AF , AG , LM , LN be
terminated in the same straight figures line FN , and CD , CE , BH , BK be
terminated ...
Let the solid parallelopipeds AH , AK be upon the same base AB , and of the
same altitude , and let their insisting straight See the lines AF , AG , LM , LN be
terminated in the same straight figures line FN , and CD , CE , BH , BK be
terminated ...
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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