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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Σελίδα 9
... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles to which the equal sides are opposite , shall be equal each to each , viz . the angle B ABC to ...
... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles to which the equal sides are opposite , shall be equal each to each , viz . the angle B ABC to ...
Σελίδα 10
... angles of the one are equal to the remaining angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ACF to the . angle ABG , and the angle AFC the angle AGB : And ... angle ABC equal 10 THE ELEMENTS.
... angles of the one are equal to the remaining angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ACF to the . angle ABG , and the angle AFC the angle AGB : And ... angle ABC equal 10 THE ELEMENTS.
Σελίδα 13
... equal to EF ; therefore BC coinciding with EF ; BA BOOK I. and AC shall coincide with ED and DF ; for , if the base ... angles . t Let BAC be the given rectilineal angle , it is required to bisect it.it Din A Take any point Din AB , and from ...
... equal to EF ; therefore BC coinciding with EF ; BA BOOK I. and AC shall coincide with ED and DF ; for , if the base ... angles . t Let BAC be the given rectilineal angle , it is required to bisect it.it Din A Take any point Din AB , and from ...
Σελίδα 14
... angles to a given straight line , from a given point in the same . Let AB be a given straight line , and Ca point given in it ; it is required to draw a straight line from the point C at right ... angle CBE is equal a to the 14 THE ELEMENTS.
... angles to a given straight line , from a given point in the same . Let AB be a given straight line , and Ca point given in it ; it is required to draw a straight line from the point C at right ... angle CBE is equal a to the 14 THE ELEMENTS.
Σελίδα 16
... angles , or are together equal to two right angles . For if the angle CBA be equal to ABD , each of them is a A E D- B D B a Def . 10. right angle ; but , if not , from the point B draw BE at right 11. 1. angles to CD ; therefore the ...
... angles , or are together equal to two right angles . For if the angle CBA be equal to ABD , each of them is a A E D- B D B a Def . 10. right angle ; but , if not , from the point B draw BE at right 11. 1. angles to CD ; therefore the ...
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