The school edition. Euclid's Elements of geometry, the first six books, by R. Potts. corrected and enlarged. corrected and improved [including portions of book 11,12].

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1864
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Side 2
N . B . If there be only one angle at a point , it may be expressed by a letter placed
at that point , as the angle at E : but ... on another straight line , makes the
adjacent angles equal to one another , each of these angles is called a right
angle ...
Side 14
To draw a straight line at right angles to a given straight line , from a given point
in the same . Let AB be the given straight line , and C a given point in it . It is
required to draw a straight line from the point C at right angles to AB . B D C E In
AC ...
Side 15
But when a straight line standing on another straight line , makes the adjacent
angles equal to one another , each of them is a right angle , and the straight line
which stands upon the other is called a perpendicular to it . ( def . 10 . ) Therefore
 ...
Side 16
And because the angle CBE is equal to the angles CBA , ABE , add the angle
EBD to each of these equals ; therefore the ... Then because AB meets the
straight line CBE ; therefore the adjacent angles CBA , ABE are equal to two right
angles ...
Side 17
If two straight lines cut one another , the vertical , or opposite angles shall be
equal . ... AED . с Because the straight line AE makes with CD at the point E , the
adjacent angles CEX , AED ; these angles are together equal to two right angles .

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ABCD Algebraically Apply base bisected Book chord circle circumference common construction contained definition demonstrated described diagonals diameter difference distance divided double draw drawn equal equal angles equiangular equilateral triangle equimultiples Euclid extremities fall figure formed four fourth Geometrical given circle given line given point given straight line greater half Hence inscribed intersection isosceles join length less Let ABC line drawn magnitudes manner mean meet multiple parallel parallelogram pass perpendicular plane problem produced Prop proportionals proved Q.E.D. PROPOSITION radius ratio reason rectangle rectangle contained regular remaining respectively right angles segment semicircle shew shewn sides similar solid square straight line taken tangent THEOREM third touch triangle ABC twice units vertex wherefore whole

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Bibliografisk informasjon

QR code for The school edition. Euclid's Elements of geometry, the first six books, by R. Potts. corrected and enlarged. corrected and improved [including portions of book 11,12].
TittelThe school edition. Euclid's Elements of geometry, the first six books, by R. Potts. corrected and enlarged. corrected and improved [including portions of book 11,12].
ForfatterEuclides
RedaktørRobert Potts
Utgave5
distribuert1864
Original fraOxford University
Digitalisert7. sep 2006
  
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