The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 3
... quantity of space which is ( at least partially ) enclosed by these lines . Perhaps the best way of explaining the matter to a beginner is the following : -Take a pair of compasses ; when the legs are shut close together , no angle is ...
... quantity of space which is ( at least partially ) enclosed by these lines . Perhaps the best way of explaining the matter to a beginner is the following : -Take a pair of compasses ; when the legs are shut close together , no angle is ...
Σελίδα 47
... quantity be added to each of two equal quantities , the sums will be equal . ( Ax . II . ) Suppose the straight line D C to meet the straight line A B. The s which D C makes with A B must be either equal or unequal . If they are equal ...
... quantity be added to each of two equal quantities , the sums will be equal . ( Ax . II . ) Suppose the straight line D C to meet the straight line A B. The s which D C makes with A B must be either equal or unequal . If they are equal ...
Σελίδα 49
... Quantities that are equal to the same are equal to each other . ( Ax . I. ) 3. If the same quantity be taken away from each of two equal quantities the remainders are equal . ( Ax . III . ) The proof of this proposition is of the ...
... Quantities that are equal to the same are equal to each other . ( Ax . I. ) 3. If the same quantity be taken away from each of two equal quantities the remainders are equal . ( Ax . III . ) The proof of this proposition is of the ...
Σελίδα 50
... quantity be taken from two equal quantities , the remainders are equal . ( Ax . III . ) Let A B and CD be two straight lines intersecting in the point E. We have to prove A E -D that the B AED is equal to the ZCE B , and the AE C to the ...
... quantity be taken from two equal quantities , the remainders are equal . ( Ax . III . ) Let A B and CD be two straight lines intersecting in the point E. We have to prove A E -D that the B AED is equal to the ZCE B , and the AE C to the ...
Σελίδα 51
... quantities that are equal to the same are equal to each other . Therefore , the sum of the s A E C and A E D is equal to the sum of the s A E C and C E B , each sum being equal to the sum of two rights . Take away the AEC from each of ...
... quantities that are equal to the same are equal to each other . Therefore , the sum of the s A E C and A E D is equal to the sum of the s A E C and C E B , each sum being equal to the sum of two rights . Take away the AEC from each of ...
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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