The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth: The Errors by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected and Some of Euclid's Demonstrations are Restored ; Also the Book O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 σελίδες |
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Αποτελέσματα 1 - 5 από τα 56.
Σελίδα 34
... half of the parallelogram GBCA , because the diameter AB bisects it ; and the triangle DEF is the half of the parallelogram DEFH , because the diameter DF bisects it : But the halves of equal a7 Ax . things are equal ; therefore the ...
... half of the parallelogram GBCA , because the diameter AB bisects it ; and the triangle DEF is the half of the parallelogram DEFH , because the diameter DF bisects it : But the halves of equal a7 Ax . things are equal ; therefore the ...
Σελίδα 47
... half the line . Let the straight line AB be divided into two equal parts in the point C , and into two unequal parts at the point D ; the rectangle AD , DB , together with the square of CD , is equal to the square of CB . Upon CB ...
... half the line . Let the straight line AB be divided into two equal parts in the point C , and into two unequal parts at the point D ; the rectangle AD , DB , together with the square of CD , is equal to the square of CB . Upon CB ...
Σελίδα 48
... half the line bisected , is equal to the square of the straight line which is made up of the half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the rectangle AD , DB , together with ...
... half the line bisected , is equal to the square of the straight line which is made up of the half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the rectangle AD , DB , together with ...
Σελίδα 51
... half the line , and of the square of the line between the points of section . Let the straight line AB be divided at ... half of R с E B e f с a 5. 1 . 32. 1 . 29. 1 . 6. 1 . right angle . For the same reason each of the angles CEB , EBC ...
... half the line , and of the square of the line between the points of section . Let the straight line AB be divided at ... half of R с E B e f с a 5. 1 . 32. 1 . 29. 1 . 6. 1 . right angle . For the same reason each of the angles CEB , EBC ...
Σελίδα 52
... half the line bisected , and of the square of the line made up of the half and the part produced . Let the straight line AB be bisected in C and produced to the point D ; the squares of AD , DB are double of the squares of AC , CD ...
... half the line bisected , and of the square of the line made up of the half and the part produced . Let the straight line AB be bisected in C and produced to the point D ; the squares of AD , DB are double of the squares of AC , CD ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex