The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 33
... draw a straight line from one given point to another . ( Post . I. ) 2. To produce a given finite right line to any length . ( Post . II . ) We must also know , - 1. That if a magnitude be less than one of two equal magnitudes , it is ...
... draw a straight line from one given point to another . ( Post . I. ) 2. To produce a given finite right line to any length . ( Post . II . ) We must also know , - 1. That if a magnitude be less than one of two equal magnitudes , it is ...
Σελίδα 42
... draw a line bi- secting the AC B. ( Prop . IX . ) Let this line meet the line A B in the point D. The line A B is ... straight line , and that the latter process is dependent on the former . In this he is wrong . If we go through the ...
... draw a line bi- secting the AC B. ( Prop . IX . ) Let this line meet the line A B in the point D. The line A B is ... straight line , and that the latter process is dependent on the former . In this he is wrong . If we go through the ...
Σελίδα 43
... draw a straight line at right angles * to a given straight line from a given point in the same . To make the construction we must be able , — 1. To join two given points by a straight line . ( Post . I. ) 2. From the greater of two ...
... draw a straight line at right angles * to a given straight line from a given point in the same . To make the construction we must be able , — 1. To join two given points by a straight line . ( Post . I. ) 2. From the greater of two ...
Σελίδα 45
... line is perpendicular to another must always be of the same size . PROPOSITION XII . To draw a right line perpendicular , or at right angles to a given right line of indefinite length , from a given point without it . * For the ...
... line is perpendicular to another must always be of the same size . PROPOSITION XII . To draw a right line perpendicular , or at right angles to a given right line of indefinite length , from a given point without it . * For the ...
Σελίδα 47
... line , meeting another , forms with it on the same side , are either two right angles , or together equal to two right angles . To prove this proposition we must be able to draw a perpendicular to a given straight line from a given ...
... line , meeting another , forms with it on the same side , are either two right angles , or together equal to two right angles . To prove this proposition we must be able to draw a perpendicular to a given straight line from a 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