The first and second books of Euclid explained to beginners, by C.P. Mason |
Αναζήτηση στο βιβλίο
Αποτελέσματα 6 - 10 από τα 17.
Σελίδα 48
... adjacent Z8 ECA and E CB equal to one another . E D с B It is evident that the ECB is the sum of the two sECD and DCB . Therefore , the sum of the two s ACE and ECB is the same as that of the three Zs ACE , E CD , and D C B. Again the ...
... adjacent Z8 ECA and E CB equal to one another . E D с B It is evident that the ECB is the sum of the two sECD and DCB . Therefore , the sum of the two s ACE and ECB is the same as that of the three Zs ACE , E CD , and D C B. Again the ...
Σελίδα 49
... adjacent Zs which it forms with it are together equal to two rights . ( Prop . XIII . ) 2. 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 ...
... adjacent Zs which it forms with it are together equal to two rights . ( Prop . XIII . ) 2. 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 ...
Σελίδα 50
... AE C to the Z DEB . Proof . A E is a straight line meeting the line C D in the point E , and forming adjacent s A E C and A E D. Consequently , these two s are together equal to two 50 THE FIRST BOOK OF EUCLID PROPOSITION XV. ...
... AE C to the Z DEB . Proof . A E is a straight line meeting the line C D in the point E , and forming adjacent s A E C and A E D. Consequently , these two s are together equal to two 50 THE FIRST BOOK OF EUCLID PROPOSITION XV. ...
Σελίδα 51
... adjacent and C E B. s AEC Consequently , the SA EC and C E B are together equal to two rights . ( Prop . XIII . ) But 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 ...
... adjacent and C E B. s AEC Consequently , the SA EC and C E B are together equal to two rights . ( Prop . XIII . ) But 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 ...
Σελίδα 52
... adjacent to the CBD ) , is less than the B D exterior CBD . We must first take the ACB , which is opposite to the side A B which has been produ In order to compare it with the CBD , make the following construction : - Bisect the line CB ...
... adjacent to the CBD ) , is less than the B D exterior CBD . We must first take the ACB , which is opposite to the side A B which has been produ In order to compare it with the CBD , make the following construction : - Bisect the line CB ...
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