Euclidian Geometry |
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Side 51
It is required to describe a square on AB . Through A draw AC 1 to AB , from AC
cut off AH = AB . Through H draw HK | | to AB , and through B draw BK | | to AH .
Then ABKH shall be the square required . For , by construction , AK is a 0 . . . AB
is ...
It is required to describe a square on AB . Through A draw AC 1 to AB , from AC
cut off AH = AB . Through H draw HK | | to AB , and through B draw BK | | to AH .
Then ABKH shall be the square required . For , by construction , AK is a 0 . . . AB
is ...
Side 60
... applied a parallelogram equal to a given triangle and having an angle equal to
a given angle . For a o LH may be drawn = the given a and having an 2 = the
given 4 , and the remainder of the construction is the same as in the proposition .
... applied a parallelogram equal to a given triangle and having an angle equal to
a given angle . For a o LH may be drawn = the given a and having an 2 = the
given 4 , and the remainder of the construction is the same as in the proposition .
Side 101
Francis Cuthbertson. Conversely : Of any number of chords in a circle the greater
is nearer to the centre than the less . In the circle AGB let the chord HK be > FG .
Then shall HK be nearer to the centre C than FG . The same construction being ...
Francis Cuthbertson. Conversely : Of any number of chords in a circle the greater
is nearer to the centre than the less . In the circle AGB let the chord HK be > FG .
Then shall HK be nearer to the centre C than FG . The same construction being ...
Side 132
If the Os are equal , the construction is easy . But if not , let A be the centre of the
smaller o and B of the greater . With centre B and radius = the difference between
the radii of the given Os describe a O PQ . From A draw a tangent AP to o PQ .
If the Os are equal , the construction is easy . But if not , let A be the centre of the
smaller o and B of the greater . With centre B and radius = the difference between
the radii of the given Os describe a O PQ . From A draw a tangent AP to o PQ .
Side 163
Francis Cuthbertson. Conversely , If a , b , c , d are four straight lines , such that
rect . ( a , d ) = rect . ( b , c ) , then a : 6 as c : d . For the same construction being
made , : : : rect . ( a , d ) = rect . ( b , c ) ; . . rect . ( a , c ) : rect . ( b , c ) as rect .
Francis Cuthbertson. Conversely , If a , b , c , d are four straight lines , such that
rect . ( a , d ) = rect . ( b , c ) , then a : 6 as c : d . For the same construction being
made , : : : rect . ( a , d ) = rect . ( b , c ) ; . . rect . ( a , c ) : rect . ( b , c ) as rect .
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base bisect Cambridge centre chapter chord circle circumference cloth College common complete construction contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perimeter perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio rect rectangle render respectively revised right angles Schools segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole
Populære avsnitt
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Side 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Side 31 - ... and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bo.iits of the Solar System, and of a few stars, omitting all minutiit of Elementary Class- Books — continued. formulcE, and all troublesome details of calculation.
Bibliografisk informasjon
| Tittel | Euclidian Geometry |
| Forfatter | Francis Cuthbertson |
| Utgiver | Macmillan, 1874 |
| Original fra | Oxford University |
| Digitalisert | 8. sep 2006 |
| Lengde | 349 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |