The first and second books of Euclid explained to beginners, by C.P. Mason1872 - Geometry |
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Page 4
... less than a right angle . Def . XV . A circle is a plane bounded figure , con- tained by one line , which is called the circumference , and is such , that every point in it is at the same dis- tance from a certain point within , which ...
... less than a right angle . Def . XV . A circle is a plane bounded figure , con- tained by one line , which is called the circumference , and is such , that every point in it is at the same dis- tance from a certain point within , which ...
Page 7
... less to the less , the sum of the two larger magnitudes will be larger than the sum of the two less . * The process by which any figure is produced , is called the construction of the figure . VI . Things which are doubles of the same ...
... less to the less , the sum of the two larger magnitudes will be larger than the sum of the two less . * The process by which any figure is produced , is called the construction of the figure . VI . Things which are doubles of the same ...
Page 8
... less than two right angles , those lines will meet if 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 ...
... less than two right angles , those lines will meet if 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 ...
Page 20
... less . To do this we must be able , - 1. From a given point to draw a straight line equal to a given straight line . ( Prop . II . ) 2. With a given centre , and at a given distance from that centre , to describe a circle . ( Post . III ...
... less . To do this we must be able , - 1. From a given point to draw a straight line equal to a given straight line . ( Prop . II . ) 2. With a given centre , and at a given distance from that centre , to describe a circle . ( Post . III ...
Page 29
... less than B , A is greater than B ( A and B being two magnitudes that admit of comparison ) , it is clear that one or other must be true . If we can show that A is not equal to B , and also that A is not less than B , it follows that ...
... less than B , A is greater than B ( A and B being two magnitudes that admit of comparison ) , it is clear that one or other must be true . If we can show that A is not equal to B , and also that A is not less than B , it follows that ...
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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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