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 sider |
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Side 47
... 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.
... 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.
Side 109
... difference contains two of the same parts : Bi- E sect BC in E ; therefore BE , EC are , e , each of them , the fifteenth part of the whole circumference ABCD : Therefore , if the straight lines BE , 7 • 30. 3 . EC be drawn , and ...
... difference contains two of the same parts : Bi- E sect BC in E ; therefore BE , EC are , e , each of them , the fifteenth part of the whole circumference ABCD : Therefore , if the straight lines BE , 7 • 30. 3 . EC be drawn , and ...
Side 294
... difference of the other two : From this he shows the circles must meet one another , in one case and says , that it may be proved after the same manner in any other case : But the straight line GM , which he bids take from GF may be ...
... difference of the other two : From this he shows the circles must meet one another , in one case and says , that it may be proved after the same manner in any other case : But the straight line GM , which he bids take from GF may be ...
Side 307
... to invent others like it : whereas there is not the least difference between the two de- monstrations , except a single word in the construction , which E F Book V. very probably has been owing to an unskilful X2 NOTES 307.
... to invent others like it : whereas there is not the least difference between the two de- monstrations , except a single word in the construction , which E F Book V. very probably has been owing to an unskilful X2 NOTES 307.
Side 321
... difference betwixt the com- " pounding of ratios , and the duplication or triplication of " them which are defined in the 5th book , but that in the du- " plication , triplication , & c . of ratios , all the interposed ratios " are ...
... difference betwixt the com- " pounding of ratios , and the duplication or triplication of " them which are defined in the 5th book , but that in the du- " plication , triplication , & c . of ratios , all the interposed ratios " are ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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