The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page vii
... magnitude some eminent teachers avail themselves of the conception of the revolution of a straight line from a given ... magnitude ; it produces only a change in the position of the line . Angular magnitude is a separate product of ...
... magnitude some eminent teachers avail themselves of the conception of the revolution of a straight line from a given ... magnitude ; it produces only a change in the position of the line . Angular magnitude is a separate product of ...
Page viii
Euclid, Charles Peter Mason. Angular magnitude is a separate product of thought , for which a certain relative position ( not motion ) of two lines is essential . Whatever may be the difficulties or defects of Euclid's " Elements , " it ...
Euclid, Charles Peter Mason. Angular magnitude is a separate product of thought , for which a certain relative position ( not motion ) of two lines is essential . Whatever may be the difficulties or defects of Euclid's " Elements , " it ...
Page 1
... magnitude . Def . II . A line is that which has length without breadth . Def . V. A superficies , or surface , is that which has length and breadth , but not thickness . The use of these definitions is to caution us that in geometry we ...
... magnitude . Def . II . A line is that which has length without breadth . Def . V. A superficies , or surface , is that which has length and breadth , but not thickness . The use of these definitions is to caution us that in geometry we ...
Page 3
... magnitude . The size of an angle has nothing to do with the length of the lines by the meeting of which it is formed , nor has it anything to do with the quantity of space which is ( at least partially ) enclosed by these lines ...
... magnitude . The size of an angle has nothing to do with the length of the lines by the meeting of which it is formed , nor has it anything to do with the quantity of space which is ( at least partially ) enclosed by these lines ...
Page 7
... Magnitudes which are equal to the same , are equal to one another . II . If equals be added to equals , or if equals ... magnitudes be added to the larger of two other unequal magnitudes , and the less to the less , the sum of the two ...
... Magnitudes which are equal to the same , are equal to one another . II . If equals be added to equals , or if equals ... magnitudes be added to the larger of two other unequal magnitudes , and the less to the less , the sum of the two ...
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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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