The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 15
... describe the circle CB E. ( Post . III . ) * By speaking of the line as " given , " it is meant that its position is given . By speaking of it as " finite , " it is meant that its length is given . A △ is said to be con- structed on a ...
... describe the circle CB E. ( Post . III . ) * By speaking of the line as " given , " it is meant that its position is given . By speaking of it as " finite , " it is meant that its length is given . A △ is said to be con- structed on a ...
Σελίδα 16
... describe the 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 ) ...
... describe the 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 ) ...
Σελίδα 17
... describe a 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 ...
... describe a 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 ...
Σελίδα 18
... describe a 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 ...
... describe a 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 ...
Σελίδα 20
... describe a circle . ( Post . III . ) To prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def . F. ) 2. That magnitudes which are equal to the same are equal to each other . ( Ax ...
... describe a circle . ( Post . III . ) To prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def . F. ) 2. That magnitudes which are equal to the same are equal to each other . ( Ax ...
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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