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 15
... PROP . XII . PROB E D B Book T. 210 Def . 1 . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point 411 without it . sows sis of lampo at 100 su 5 ad bras نا C Let AB be the given ...
... PROP . XII . PROB E D B Book T. 210 Def . 1 . To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point 411 without it . sows sis of lampo at 100 su 5 ad bras نا C Let AB be the given ...
Σελίδα 22
... PROP . XXIII . PROB . Ата a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . C A. Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal ...
... PROP . XXIII . PROB . Ата a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . C A. Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal ...
Σελίδα 32
... PROP . XXXV . THEOR . PARALLELOGRAMS upon the same base , and be- tween the same parallels , are equal to one another . F Let the parallelograms ABCD , EBCF be upon the same and 3d fi- base BC , and between the same parallels , AF , BC ...
... PROP . XXXV . THEOR . PARALLELOGRAMS upon the same base , and be- tween the same parallels , are equal to one another . F Let the parallelograms ABCD , EBCF be upon the same and 3d fi- base BC , and between the same parallels , AF , BC ...
Σελίδα 33
... PROP . XXXVI . THEOR . PARALLELOGRAMS upon equal bases , and be- tween the same parallels , are equal to one another . Let ABCD , EFGH be parallelograms upon equal bases BC , FG , and be- tween the same parallels AH , BG ; the parallelo ...
... PROP . XXXVI . THEOR . PARALLELOGRAMS upon equal bases , and be- tween the same parallels , are equal to one another . Let ABCD , EFGH be parallelograms upon equal bases BC , FG , and be- tween the same parallels AH , BG ; the parallelo ...
Σελίδα 64
... PROP . VI . THEOR . E F two circles touch one other internally , they shall not have the same centre . Let the two circles ABC , CDE touch one another inter- nally in the point C : They have not the same centre , For , if they can , let ...
... PROP . VI . THEOR . E F two circles touch one other internally , they shall not have the same centre . Let the two circles ABC , CDE touch one another inter- nally in the point C : They have not the same centre , For , if they can , let ...
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