The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 11
... lines , AB and CD , of equal length , and that it is requisite for any pur- pose that the one should be supposed to lie upon the other . We may say , " Place the point A upon the point C , and let the line AB lie along the line CD ...
... lines , AB and CD , of equal length , and that it is requisite for any pur- pose that the one should be supposed to lie upon the other . We may say , " Place the point A upon the point C , and let the line AB lie along the line CD ...
Σελίδα 15
... A B be the given finite right line . With the centre A , and at the distance A B , describe the circle CB E. ( Post . III . ) * By speaking of the line as " given , " it is meant that its position is given . By speaking of it as ...
... A B be the given finite right line . With the centre A , and at the distance A B , describe the circle CB E. ( Post . III . ) * By speaking of the line as " given , " it is meant that its position is given . By speaking of it as ...
Σελίδα 16
... lines AC and BC are both equal to the line A B , they are equal to one another ; or , in other words , ACB is an equilateral A , and is con- structed on the line A B. It would have done equally well if we had taken the point D , and ...
... lines AC and BC are both equal to the line A B , they are equal to one another ; or , in other words , ACB is an equilateral A , and is con- structed on the line A B. It would have done equally well if we had taken the point D , and ...
Σελίδα 20
... line and the given point are in different relative positions . By attending to the general directions , all ... A B and CD be the two given straight lines , of which A B is the greater . E A B From the point A draw the straight line AE ...
... line and the given point are in different relative positions . By attending to the general directions , all ... A B and CD be the two given straight lines , of which A B is the greater . E A B From the point A draw the straight line AE ...
Σελίδα 21
... AB which was required . For , A E and AF are equal , being radii of the same circle ( Def . XIV . ) ; and as AE and ... line A E to be a line obtained as the result of all the operations there indicated . Without going through the ...
... AB which was required . For , A E and AF are equal , being radii of the same circle ( Def . XIV . ) ; and as AE and ... line A E to be a line obtained as the result of all the operations there indicated . Without going through the ...
Άλλες εκδόσεις - Προβολή όλων
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