The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 6
... right angles . Def . XXXIV . A trapezium is a four - sided figure , which ... right line may be drawn from any given point to any other given point . Second postulate . Let it be granted , that a given finite ... 6 THE FIRST BOOK OF EUCLID.
... right angles . Def . XXXIV . A trapezium is a four - sided figure , which ... right line may be drawn from any given point to any other given point . Second postulate . Let it be granted , that a given finite ... 6 THE FIRST BOOK OF EUCLID.
Σελίδα 8
... right angles , those lines will meet if produced . C. If part of one bounded figure ( and part only ) be inside another bounded figure , the peripheries of those * This is properly ... 6. For if the halves of two mag- nitudes were unequal ...
... right angles , those lines will meet if produced . C. If part of one bounded figure ( and part only ) be inside another bounded figure , the peripheries of those * This is properly ... 6. For if the halves of two mag- nitudes were unequal ...
Σελίδα 41
... right line to construct an equi- lateral A. ( Prop . I. ) 2. To bisect a given rectilineal Z. To prove that the construction accomplishes what is required we must know that- If two As have two sides of the one equal to two sides of the ...
... right line to construct an equi- lateral A. ( Prop . I. ) 2. To bisect a given rectilineal Z. To prove that the construction accomplishes what is required we must know that- If two As have two sides of the one equal to two sides of the ...
Σελίδα 45
... rights are equal ; a proposition for the proof of which the truth of this very axiom is assumed ( see p . 12 ) , and ... right lines cannot have a com- mon segment , there would be no ground for ... Z. ( Prop . EXPLAINED TO BEGINNERS . 45.
... rights are equal ; a proposition for the proof of which the truth of this very axiom is assumed ( see p . 12 ) , and ... right lines cannot have a com- mon segment , there would be no ground for ... Z. ( Prop . EXPLAINED TO BEGINNERS . 45.
Σελίδα 46
Euclid, Charles Peter Mason. 3. To bisect a given rectilineal Z. ( Prop . IX . ) To prove that the construction ... right lines FD and F E. From the point F draw the right line FL , bisecting the DFE , and meeting the line D E in ...
Euclid, Charles Peter Mason. 3. To bisect a given rectilineal Z. ( Prop . IX . ) To prove that the construction ... right lines FD and F E. From the point F draw the right line FL , bisecting the DFE , and meeting the line D E in ...
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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