The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 9
... proved . THE NAMING OF ANGLES . An angle is named either by a letter placed at the point of intersection of the ... proving propositions in geometry , is to compare figures , by * A triangle is named by placing a letter at each of the ...
... proved . THE NAMING OF ANGLES . An angle is named either by a letter placed at the point of intersection of the ... proving propositions in geometry , is to compare figures , by * A triangle is named by placing a letter at each of the ...
Σελίδα 13
... proved in them . In a large number of cases , most people would never imagine it possible to doubt the truth of these propositions . The object is to show by what intermediate steps the truth to be proved must be connected with the ...
... proved in them . In a large number of cases , most people would never imagine it possible to doubt the truth of these propositions . The object is to show by what intermediate steps the truth to be proved must be connected with the ...
Σελίδα 16
... proved as follows : — The lines A B and A C are radii of the same circle E CB , and therefore are equal to one another ( Definition F ) ; and the lines B C and B A are radii of the same circle A CF , and therefore are equal to one ...
... proved as follows : — The lines A B and A C are radii of the same circle E CB , and therefore are equal to one another ( Definition F ) ; and the lines B C and B A are radii of the same circle A CF , and therefore are equal to one ...
Σελίδα 17
... proving that the construction furnishes us with a line drawn as required , we must know— 1. That radii of the same circle are equal to one another . ( Def . XIV . ) 2. That magnitudes which are equal to the same , are equal to each ...
... proving that the construction furnishes us with a line drawn as required , we must know— 1. That radii of the same circle are equal to one another . ( Def . XIV . ) 2. That magnitudes which are equal to the same , are equal to each ...
Σελίδα 20
... prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def . F. ) 2. That magnitudes which are equal to the same are equal to each other . ( Ax . I. ) Let A B and CD be the two given ...
... prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def . F. ) 2. That magnitudes which are equal to the same are equal to each other . ( Ax . I. ) Let A B and CD be the two given ...
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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