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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... reasons , been insuf- ficiently demonstrated since Theon's time hitherto . Besides , there are several other things , which have nothing of Euclid's accuracy , and which plainly show , that his Elements have been much corrupted by ...
... reasons , been insuf- ficiently demonstrated since Theon's time hitherto . Besides , there are several other things , which have nothing of Euclid's accuracy , and which plainly show , that his Elements have been much corrupted by ...
Σελίδα 32
... reason EF is equal to BC ; wherefore AD is equal to EF ; and DE is common ; therefore the whole , or the remain- 2. or 3. der , AE is equal to the whole , or the remainder DF ; AB also is equal to DC ; and the two EA , AB are therefore ...
... reason EF is equal to BC ; wherefore AD is equal to EF ; and DE is common ; therefore the whole , or the remain- 2. or 3. der , AE is equal to the whole , or the remainder DF ; AB also is equal to DC ; and the two EA , AB are therefore ...
Σελίδα 33
... reason , the parallelogram EFGH is equal to the same EBCH : There- fore also the parallelogram ABCD is equal to EFGH.- Wherefore parallelograms , & c . Q. E. D. 85. 1 . PROP . XXXVII . THEOR . TRIANGLES upon the same base , and between ...
... reason , the parallelogram EFGH is equal to the same EBCH : There- fore also the parallelogram ABCD is equal to EFGH.- Wherefore parallelograms , & c . Q. E. D. 85. 1 . PROP . XXXVII . THEOR . TRIANGLES upon the same base , and between ...
Σελίδα 37
... reason , the triangle KGC is equal to the triangle KFC : Then , ' because the triangle AEK is equal to the triangle AHK , the triangle KGC to KFC ; the triangle AEK , together with the triangle KGC is equal to the triangle AHK together ...
... reason , the triangle KGC is equal to the triangle KFC : Then , ' because the triangle AEK is equal to the triangle AHK , the triangle KGC to KFC ; the triangle AEK , together with the triangle KGC is equal to the triangle AHK together ...
Σελίδα 41
... reason , AB and AH are in the same straight line ; and because the angle DBC is equal to the angle FBA , each of them being a right angle , add to each the angle ABC , B G € 30. def . H E K е 14. 1 . 4. 1 . 41. 1 . and the whole angle ...
... reason , AB and AH are in the same straight line ; and because the angle DBC is equal to the angle FBA , each of them being a right angle , add to each the angle ABC , B G € 30. def . H E K е 14. 1 . 4. 1 . 41. 1 . and the whole angle ...
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