The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 34
... base are likewise equal ( Prop . V. ) . Let us suppose that there could be two As A C B and A D B , on the same base A B , and on the same side of it , and such that A C and A D are equal to one another , and also B C and B D equal to ...
... base are likewise equal ( Prop . V. ) . Let us suppose that there could be two As A C B and A D B , on the same base A B , and on the same side of it , and such that A C and A D are equal to one another , and also B C and B D equal to ...
Σελίδα 35
... base equal , and likewise those that terminate at the other extremity of the base equal , so placed that the vertex of one of the △ s ( A B C ) falls within the other △ ( A B D ) . Join the points D and C by the right line D C ...
... base equal , and likewise those that terminate at the other extremity of the base equal , so placed that the vertex of one of the △ s ( A B C ) falls within the other △ ( A B D ) . Join the points D and C by the right line D C ...
Σελίδα 36
... base , and on the same side of it , there can be two △ s , having the sides terminat- ing in one extremity of the base equal to one another , and likewise those terminating in the other extremity of the base equal to one another ...
... base , and on the same side of it , there can be two △ s , having the sides terminat- ing in one extremity of the base equal to one another , and likewise those terminating in the other extremity of the base equal to one another ...
Σελίδα 37
... base A B. Then the line D F must lie along the line A C , and the line E F along B C , the point F coinciding with the point C. For if they did not , but lay in any other position , as , for example , in the annexed figure , we should ...
... base A B. Then the line D F must lie along the line A C , and the line E F along B C , the point F coinciding with the point C. For if they did not , but lay in any other position , as , for example , in the annexed figure , we should ...
Σελίδα 39
... base of the isosceles △ CA F. ) Therefore the As A C B and A F B have two sides ( A C and C B ) , and the included ≤ ( A C B ) of the one equal to two sides ( A F and F B ) , and the included ( A FB ) of the other , each to each ...
... base of the isosceles △ CA F. ) Therefore the As A C B and A F B have two sides ( A C and C B ) , and the included ≤ ( A C B ) of the one equal to two sides ( A F and F B ) , and the included ( A FB ) of the other , each to each ...
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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