The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 3
... point to another is said to join those two points . Def . C. The area of a bounded figure is the extent of surface enclosed within its boundary . Def . VIII . A rectilinear angle is the opening formed between two straight lines which ...
... point to another is said to join those two points . Def . C. The area of a bounded figure is the extent of surface enclosed within its boundary . Def . VIII . A rectilinear angle is the opening formed between two straight lines which ...
Σελίδα 16
... points . Call these points C and D. Take either of these points ( say C ) , and join A and C by the right line A C , and C and B by the right line C B. ( Post . I. ) We thus get a △ ACB , and that this △ is a A such as was required ...
... points . Call these points C and D. Take either of these points ( say C ) , and join A and C by the right line A C , and C and B by the right line C B. ( Post . I. ) We thus get a △ ACB , and that this △ is a A such as was required ...
Σελίδα 17
... join two given points by a right line . ( Post . I. ) 2. To produce a given right line to any length . ( Post . II . ) 3. To describe a circle with a given centre and at a given distance from that centre . ( Post . III . ) 4. On a given ...
... join two given points by a right line . ( Post . I. ) 2. To produce a given right line to any length . ( Post . II . ) 3. To describe a circle with a given centre and at a given distance from that centre . ( Post . III . ) 4. On a given ...
Σελίδα 26
... join two given points by a straight line . ( Post . I. ) 2. To cut off from the longer of two given straight lines a piece equal to the shorter . ( Prop . III . ) For the proof of the proposition we must know , — 1. That if equals be ...
... join two given points by a straight line . ( Post . I. ) 2. To cut off from the longer of two given straight lines a piece equal to the shorter . ( Prop . III . ) For the proof of the proposition we must know , — 1. That if equals be ...
Σελίδα 34
... Join the points C and D by the right line C D. In the A A C D , if À O and A D be equal to one another , the AUD is equal to the AD C ( Prop . V. ) B C D If the sides B C and B D could also be equal to one another , then also in the ...
... Join the points C and D by the right line C D. In the A A C D , if À O and A D be equal to one another , the AUD is equal to the AD C ( Prop . V. ) B C D If the sides B C and B D could also be equal to one another , then also in the ...
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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