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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Resultat 1-5 av 54
Side 43
... contain one of the right angles . II . In every parallelogram , any of the parallelograms about á dia- meter ... rectangle contained by the two straight lines , is equal to the rectangles con- tained by the undivided line , and ...
... contain one of the right angles . II . In every parallelogram , any of the parallelograms about á dia- meter ... rectangle contained by the two straight lines , is equal to the rectangles con- tained by the undivided line , and ...
Side 44
... rectangle contained by the straight lines A , BC is equal B to the , rectangle contained by A , BD , together with that con- tained by A , DE , and that con- tained by A , EC . From the point B draw BF ; G at right angles to BC , and ...
... rectangle contained by the straight lines A , BC is equal B to the , rectangle contained by A , BD , together with that con- tained by A , DE , and that con- tained by A , EC . From the point B draw BF ; G at right angles to BC , and ...
Side 45
... rectangle contained by AB , AC , together with the rectangle AB , BC is equal to the square of AB . If therefore a straight line , & c . Q. E. D. PROP . III . THEOR . IF a straight line be divided into any two parts , the rectangle ...
... rectangle contained by AB , AC , together with the rectangle AB , BC is equal to the square of AB . If therefore a straight line , & c . Q. E. D. PROP . III . THEOR . IF a straight line be divided into any two parts , the rectangle ...
Side 47
... rectangle contained by the unequal parts , together with the square of the line between the points of section , is equal to the square of half the line . Let the straight line AB be divided into two equal parts in the point C , and into ...
... rectangle contained by the unequal parts , together with the square of the line between the points of section , is equal to the square of half the line . Let the straight line AB be divided into two equal parts in the point C , and into ...
Side 48
... rectangle contained by the whole line thus produced , and the part of it produced , together with the square of half the line bisected , is equal to the square of the straight line which is made up of the half and the part produced ...
... rectangle contained by the whole line thus produced , and the part of it produced , together with the square of half the line bisected , is equal to the square of the straight line which is made up of the half and the part produced ...
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