The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page vii
... produced by the motion of a point . In fact it is a mistake to say that the motion of a point produces a line . All that it pro- duces is a change in the position of the point . The line along which the point has moved is a separate ...
... produced by the motion of a point . In fact it is a mistake to say that the motion of a point produces a line . All that it pro- duces is a change in the position of the point . The line along which the point has moved is a separate ...
Page 5
... produced both ways , do not meet Def . G. A parallelogram is a four - sided figure , the opposite sides of which are parallel . Def . H. A rectangle is a parallelogram which has all its angles right angles . Def . XXXI . A square is a ...
... produced both ways , do not meet Def . G. A parallelogram is a four - sided figure , the opposite sides of which are parallel . Def . H. A rectangle is a parallelogram which has all its angles right angles . Def . XXXI . A square is a ...
Page 6
... produced . Accordingly , in geo- metry , the following postulates ( or " things demanded ” ) are laid down . First postulate . Let it be granted , that a right line may be drawn from any given point to any other given point . Second ...
... produced . Accordingly , in geo- metry , the following postulates ( or " things demanded ” ) are laid down . First postulate . Let it be granted , that a right line may be drawn from any given point to any other given point . Second ...
Page 7
... produce the " construction specified in these postulates . The most important aspect of the postulates is , however , that ... produced , is called the construction of the figure . VI . Things which are doubles of the same , EXPLAINED TO ...
... produce the " construction specified in these postulates . The most important aspect of the postulates is , however , that ... produced , is called the construction of the figure . VI . Things which are doubles of the same , EXPLAINED TO ...
Page 8
... produced . C. If part of one bounded figure ( and part only ) be inside another bounded figure , the peripheries of those * This is properly only a particular case of the second axiom . The first part of this axiom is only the ...
... produced . C. If part of one bounded figure ( and part only ) be inside another bounded figure , the peripheries of those * This is properly only a particular case of the second axiom . The first part of this axiom is only the ...
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The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides No preview available - 2016 |
Common terms and phrases
A B and CD A B is equal A C and CB Æneid axiom beginner bisected centre Consequently diagonal draw a straight Edition equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle Fcap figure finite right line follows formed given finite right given line given point given rectilineal given straight line gnomon greater half a right hypotenuse interior and opposite isosceles Join the points join two given Jugurtha Latin length less line A B line CD linear units lines are parallel magnitudes meeting the line opposite sides parallelogram point F proof Prop proposition prove this proposition rectangle contained right angles side A C straight line meets suppose three sides triangle unequal
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