The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 28
... sides CL and LA of the one are equal respectively to the two sides A F and F C of the other , and the included CLA ... A C F. 3. If from the equals B AL and B C F , the equals CAL and A C F be taken away , the re- mainders , namely the s ...
... sides CL and LA of the one are equal respectively to the two sides A F and F C of the other , and the included CLA ... A C F. 3. If from the equals B AL and B C F , the equals CAL and A C F be taken away , the re- mainders , namely the s ...
Σελίδα 30
... sides has to be demonstrated . The proof of this proposition is of the indirect kind . Instead of its being shown at ... A C is equal to the side C B. This is proved by showing that AC and CB are not unequal . That A C and CB are not ...
... sides has to be demonstrated . The proof of this proposition is of the indirect kind . Instead of its being shown at ... A C is equal to the side C B. This is proved by showing that AC and CB are not unequal . That A C and CB are not ...
Σελίδα 31
... sides of the one ( namely , D A and A B ) , equal to two sides of the other ( namely , C B and B A ) , each to each ... A C could be longer than C B , we should be compelled to admit that a part could be equal to the whole of which it is a ...
... sides of the one ( namely , D A and A B ) , equal to two sides of the other ( namely , C B and B A ) , each to each ... A C could be longer than C B , we should be compelled to admit that a part could be equal to the whole of which it is a ...
Σελίδα 32
... AC A B is only a part of the △ E BA . Thus it appears that if we were to suppose that the side B C is longer than the side A C , while the CAB is equal to the CBA , we should be com- pelled to admit that a part is equal to the whole of ...
... AC A B is only a part of the △ E BA . Thus it appears that if we were to suppose that the side B C is longer than the side A C , while the CAB is equal to the CBA , we should be com- pelled to admit that a part is equal to the whole of ...
Σελίδα 33
Euclid, Charles Peter Mason. same side of it , then if the two sides A C and A D , terminating at A , were equal to each other , the sides BC and B D , terminating at the D other extremity of the base , could not also be equal to each ...
Euclid, Charles Peter Mason. same side of it , then if the two sides A C and A D , terminating at A , were equal to each other , the sides BC and B D , terminating at the D other extremity of the base , could not also be equal 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 |
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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