The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 39
... bisect a given rectilineal angle · to divide it into two equal angles . that is , For the construction employed in this proposition we require to be able , - 1. To join two given points by a straight line . B 2. From the greater of two ...
... bisect a given rectilineal angle · to divide it into two equal angles . that is , For the construction employed in this proposition we require to be able , - 1. To join two given points by a straight line . B 2. From the greater of two ...
Σελίδα 41
... bisect a given rectilineal Z. To prove that the construction accomplishes what is required we must know that- If two ... bisecting that , the third part of one right . Certain propositions in the Fourth Book enable us to find the fifth ...
... bisect a given rectilineal Z. To prove that the construction accomplishes what is required we must know that- If two ... bisecting that , the third part of one right . Certain propositions in the Fourth Book enable us to find the fifth ...
Σελίδα 42
... bisected at the point D. For in the As A C D and B C D the sides A C and BC are equal , being sides of an ... bisect an , than to bisect a straight line , and that the latter process is dependent on the former . In this he is wrong . If ...
... bisected at the point D. For in the As A C D and B C D the sides A C and BC are equal , being sides of an ... bisect an , than to bisect a straight line , and that the latter process is dependent on the former . In this he is wrong . If ...
Σελίδα 43
... bisected at the point D. A E B For if we suppose the △ CBE to be applied to the △ CA E in such a manner that , C E remaining common to the two △ s , CB and BE may lie on the same side of EC as CA and A E , it will follow ( from the ...
... bisected at the point D. A E B For if we suppose the △ CBE to be applied to the △ CA E in such a manner that , C E remaining common to the two △ s , CB and BE may lie on the same side of EC as CA and A E , it will follow ( from the ...
Σελίδα 45
... a given distance from that centre . ( Post . III . ) That is , so that the adjacent s which it forms with the given line may be equal to each other . ( Def . XI . ) 3. To bisect a given rectilineal Z. ( Prop . EXPLAINED TO BEGINNERS . 45.
... a given distance from that centre . ( Post . III . ) That is , so that the adjacent s which it forms with the given line may be equal to each other . ( Def . XI . ) 3. To bisect a given rectilineal Z. ( Prop . EXPLAINED TO BEGINNERS . 45.
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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