The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 17
... centre and at a given distance from that centre . ( Post . III . ) 4. On a given finite right line to construct an equilateral △ . * ( Prop . I. ) In proving that the construction furnishes us with a line drawn as required , we must ...
... centre and at a given distance from that centre . ( Post . III . ) 4. On a given finite right line to construct an equilateral △ . * ( Prop . I. ) In proving that the construction furnishes us with a line drawn as required , we must ...
Σελίδα 18
... centre , and at the distance AF , will be of the same length as AF . Beginners always find this proposition very troublesome to remember . The principle upon which the construction is made must be carefully attended to . The given point ...
... centre , and at the distance AF , will be of the same length as AF . Beginners always find this proposition very troublesome to remember . The principle upon which the construction is made must be carefully attended to . The given point ...
Σελίδα 19
... centre with which the second circle is described must be that vertex of the equilateral △ which is opposite to the ... centre of the second circle and the given point , must be produced through the given point ( not backwards through ...
... centre with which the second circle is described must be that vertex of the equilateral △ which is opposite to the ... centre of the second circle and the given point , must be produced through the given point ( not backwards through ...
Σελίδα 20
... centre , and at a given distance from that centre , to describe a circle . ( Post . III . ) To prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def . F. ) 2. That magnitudes which ...
... centre , and at a given distance from that centre , to describe a circle . ( Post . III . ) To prove that the construction is correct , we must know , - 1. That radii of the same circle are equal . ( Def . F. ) 2. That magnitudes which ...
Σελίδα 45
... centre , and at 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 ...
... centre , and at 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 ...
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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