The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 15
... circle are equal to one another . Let A B be the given finite right line . With the centre A , and at the distance A B , describe the circle CB E. ( Post . III . ) * By speaking of the line as " given , " it is meant that its position ...
... circle are equal to one another . Let A B be the given finite right line . With the centre A , and at the distance A B , describe the circle CB E. ( Post . III . ) * By speaking of the line as " given , " it is meant that its position ...
Σελίδα 16
... circle ACF . ( Post . III . ) Part of the circle ECB is inside the F circle A CF , and part outside , therefore these circles must intersectin two points . Call these points C and D. Take either of these points ( say C ) , and join A ...
... circle ACF . ( Post . III . ) Part of the circle ECB is inside the F circle A CF , and part outside , therefore these circles must intersectin two points . Call these points C and D. Take either of these points ( say C ) , and join A ...
Σελίδα 17
... circle with a given centre and at a given distance from that centre . ( Post . III . ) 4. On a given finite right line to construct an equilateral △ . * ( Prop . I. ) In proving that the construction furnishes us with a line drawn as ...
... circle with a given centre and at a given distance from that centre . ( Post . III . ) 4. On a given finite right line to construct an equilateral △ . * ( Prop . I. ) In proving that the construction furnishes us with a line drawn as ...
Σελίδα 18
... circle . ( Post . III . ) B с D E A Produce the line DA to meet the circumference of this circle in the point F. ( Post III . ) Then A F will be a line drawn as required . For- The lines DE and DF are equal , being radii of the same circle ...
... circle . ( Post . III . ) B с D E A Produce the line DA to meet the circumference of this circle in the point F. ( Post III . ) Then A F will be a line drawn as required . For- The lines DE and DF are equal , being radii of the same circle ...
Σελίδα 19
... circle . Then that side of the equilateral A which lies between the centre of the second circle and the given point , must be produced through the given point ( not backwards through the centre of the second circle ) , till it meets the ...
... circle . Then that side of the equilateral A which lies between the centre of the second circle and the given point , must be produced through the given point ( not backwards through the centre of the second circle ) , till it meets the ...
Άλλες εκδόσεις - Προβολή όλων
The First and Second Books of Euclid Explained to Beginners, by C.P. Mason Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and CD A B is equal AC 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 fourth proposition given finite right given line given point given rectilineal given straight line gnomon Grammar greater half a right hypotenuse interior and opposite isosceles Join the points join two given Latin length less line A B line CB 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