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
... Propositions , as well as their Demonstrations , to Theon ; others think the Propositions to be Euclid's , but that the Demonstrations are Theon's ; and others maintain , that all the Propositions and their Demonstrations are Euclid's ...
... Propositions , as well as their Demonstrations , to Theon ; others think the Propositions to be Euclid's , but that the Demonstrations are Theon's ; and others maintain , that all the Propositions and their Demonstrations are Euclid's ...
Σελίδα
... Proposition is a Theorem , not a Defi- nition ; because the equality of figures of any kind must be demonstrated , and not assumed ; and therefore , though this were a true proposition , it ought to have been demonstrated . But , indeed ...
... Proposition is a Theorem , not a Defi- nition ; because the equality of figures of any kind must be demonstrated , and not assumed ; and therefore , though this were a true proposition , it ought to have been demonstrated . But , indeed ...
Σελίδα
... Proposition concerning a pro- perty of quadrilateral figures in a circle , is added at the end of the sixth Book . Also the Note on the 29th Proposition , Book 1st , is altered , and made more explicit , and a more general Demonstration ...
... Proposition concerning a pro- perty of quadrilateral figures in a circle , is added at the end of the sixth Book . Also the Note on the 29th Proposition , Book 1st , is altered , and made more explicit , and a more general Demonstration ...
Σελίδα 47
... c . Q. E. D. From this proposition it is manifest , that the difference of the squares of two unequal lines AC , CD , is equal to the rectangle contained by their sum and difference . Book II . * 46. 1 . e PROP . OF EUCLID . 47.
... c . Q. E. D. From this proposition it is manifest , that the difference of the squares of two unequal lines AC , CD , is equal to the rectangle contained by their sum and difference . Book II . * 46. 1 . e PROP . OF EUCLID . 47.
Σελίδα 104
... proposition , be in the points A , B , C , D , E , so that the cir- 11. 4. cumferences AB , BC , CD , DE , EA are equal ; and through the points A , B , C , D , E , draw GH , HK , KL , LM , MG , 17. 8. touching the circle ; take the ...
... proposition , be in the points A , B , C , D , E , so that the cir- 11. 4. cumferences AB , BC , CD , DE , EA are equal ; and through the points A , B , C , D , E , draw GH , HK , KL , LM , MG , 17. 8. touching the circle ; take 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