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 4
... JO XXXHI .. Sce N. A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXXIV . All other four - sided figures besides these THE ELEMENTS.
... JO XXXHI .. Sce N. A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXXIV . All other four - sided figures besides these THE ELEMENTS.
Side 8
... , viz . those to which the equal sides are opposite . Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . L AB to DE , and AC to DF ; and THE ELEMENTS.
... , viz . those to which the equal sides are opposite . Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . L AB to DE , and AC to DF ; and THE ELEMENTS.
Side 9
... opposite , shall be equal each to each , viz . the angle B ABC to the angle DEF , and the angle ACB to DFE . مجھو • BOOK I. A D E For if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line AB ...
... opposite , shall be equal each to each , viz . the angle B ABC to the angle DEF , and the angle ACB to DFE . مجھو • BOOK I. A D E For if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line AB ...
Side 10
... opposite ; viz . the angle ACF to the . angle ABG , and the angle AFC the angle AGB : And because the whole AF , is equal to the whole AG , D of which the parts AB , AC , are equal ; the remainder BF shall be to F B E 3 Ax . equal to ...
... opposite ; viz . the angle ACF to the . angle ABG , and the angle AFC the angle AGB : And because the whole AF , is equal to the whole AG , D of which the parts AB , AC , are equal ; the remainder BF shall be to F B E 3 Ax . equal to ...
Side 16
... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line . At the point B in the straight line AB , let the two straight lines BC , BD upon ...
... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line . At the point B in the straight line AB , let the two straight lines BC , BD upon ...
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