The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 5
... 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 rectangle which has all its sides equal ...
... 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 rectangle which has all its sides equal ...
Σελίδα 6
... parallelogram which has all its sides equal , but its angles not right angles . Def . XXXIV . A trapezium is a four - sided figure , which has two of its sides parallel . POSTULATES . The figures reasoned about in geometry are mental ...
... parallelogram which has all its sides equal , but its angles not right angles . Def . XXXIV . A trapezium is a four - sided figure , which has two of its sides parallel . POSTULATES . The figures reasoned about in geometry are mental ...
Σελίδα 103
... parallelogram into two As which are equal in area . PROPOSITION XXXV . Parallelograms upon the same base and between the same parallels are equal to one another . For the proof of this proposition we require to know , - 1. That if two ...
... parallelogram into two As which are equal in area . PROPOSITION XXXV . Parallelograms upon the same base and between the same parallels are equal to one another . For the proof of this proposition we require to know , - 1. That if two ...
Σελίδα 104
... parallelograms may occupy with relation to each other , with this exception , that in applying the demonstration to ... parallelogram , its opposite sides AC and BD are equal . Hence it appears that the two As CAE and DBF have two s of ...
... parallelograms may occupy with relation to each other , with this exception , that in applying the demonstration to ... parallelogram , its opposite sides AC and BD are equal . Hence it appears that the two As CAE and DBF have two s of ...
Σελίδα 105
... parallelogram A B FE ; and if the △ DBF be taken away from the same figure ABF C , we have left the parallelogram A B D C. But since the △ s are equal in area , the remainder in the first case must be equal to the remainder in the ...
... parallelogram A B FE ; and if the △ DBF be taken away from the same figure ABF C , we have left the parallelogram A B D C. But since the △ s are equal in area , the remainder in the first case must be equal to the remainder in the ...
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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