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 C D be two straight lines intersecting in the point E. We have to prove D that the A E B AED is equal to the ZCE B , and the DEB . A E C ...
... quantity be taken from two equal quantities , the remainders are equal . ( Ax . III . ) Let A B and C D be two straight lines intersecting in the point E. We have to prove D that the A E B AED is equal to the ZCE B , and the DEB . A E C ...
Σελίδα 51
... quantities that are equal to the same are equal to each other . Therefore , the sum of the SA E C and AED is equal to the sum of the SAEC and CE B , each sum being equal to the sum of two rights . Take away the AEC from each of these ...
... quantities that are equal to the same are equal to each other . Therefore , the sum of the SA E C and AED is equal to the sum of the SAEC and CE B , each sum being equal to the sum of two rights . Take away the AEC from each of these ...
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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
2nd Edit 3rd Edition A B and CD A B is equal AC and CB axiom beginner bisected C. S. Calverley Consequently diagonal draw a straight equal in area equal respectively equal to twice equilateral Euclid exterior exterior angle F. A. Paley Fcap figure finite right line follows formed geometry given finite right given line given point given straight line gnomon greater interior and opposite isosceles J. W. Donaldson 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 Post 8vo proof Prop proposition prove this proposition rectangle contained right angles side A C square suppose three sides triangle unequal