The first and second books of Euclid explained to beginners, by C.P. Mason |
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Σελίδα 143
... rectangle contained by A C and C B , for it is contained by K G , which is equal to A C ( I. 34 ) and FG , which is equal to F D , which is equal to CB . ( I. 34. ) GB is also the rectangle contained by A C and CB , for it is contained ...
... rectangle contained by A C and C B , for it is contained by K G , which is equal to A C ( I. 34 ) and FG , which is equal to F D , which is equal to CB . ( I. 34. ) GB is also the rectangle contained by A C and CB , for it is contained ...
Σελίδα 144
... rectangle contained by the unequal parts , together with the square on the line between the points of section , is equal to the square on half the line . A For the construction employed we must be able— 1. On a given straight line to ...
... rectangle contained by the unequal parts , together with the square on the line between the points of section , is equal to the square on half the line . A For the construction employed we must be able— 1. On a given straight line to ...
Σελίδα 145
... rectangle A O is equal to the rectangle CL . 2. The rectangles CH and HE are equal , because they are the ... contained by AD and DB , for it is contained by AD and D H , and DH and DB are equal , being sides of the same ; and O G is the ...
... rectangle A O is equal to the rectangle CL . 2. The rectangles CH and HE are equal , because they are the ... contained by AD and DB , for it is contained by AD and D H , and DH and DB are equal , being sides of the same ; and O G is the ...
Σελίδα 146
... rectangle under the unequal parts , A D and D B , together with the on CD ... rectangle under the sum and the difference of the two lines A C and CD . OG is ... contained by the sum and the difference of two unequal lines , together with ...
... rectangle under the unequal parts , A D and D B , together with the on CD ... rectangle under the sum and the difference of the two lines A C and CD . OG is ... contained by the sum and the difference of two unequal lines , together with ...
Σελίδα 147
Euclid, Charles Peter Mason. AC and CD ) is equal to the rectangle contained by their sum and their difference . * " This is incomparably the most useful form in which the proposition can be stated . PROPOSITION VI . If a right line be ...
Euclid, Charles Peter Mason. AC and CD ) is equal to the rectangle contained by their sum and their difference . * " This is incomparably the most useful form in which the proposition can be stated . PROPOSITION VI . If a right line be ...
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