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 9
... THEOR . THE angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be pro- duced the angles upon the other side of the base shall be equal . , Let ABC be an Isosceles triangle , of which the side ...
... THEOR . THE angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be pro- duced the angles upon the other side of the base shall be equal . , Let ABC be an Isosceles triangle , of which the side ...
Side 15
... THEOR . THE angles which one straight line makes with an- other upon the one side of it , are either two right angles , or are together equal to two right angles . b 3 Post . c 10.1 . e 15 Def . 1 . 8. 1 . 8.1 . BOOK I. Let the straight ...
... THEOR . THE angles which one straight line makes with an- other upon the one side of it , are either two right angles , or are together equal to two right angles . b 3 Post . c 10.1 . e 15 Def . 1 . 8. 1 . 8.1 . BOOK I. Let the straight ...
Side 16
... THEOR . IF , at a point in a straight line , two other straight lines , upon the 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 ...
... THEOR . IF , at a point in a straight line , two other straight lines , upon the 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 ...
Side 18
... THEOR .. IF one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of ...
... THEOR .. IF one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of ...
Side 19
... THEOR . THE greater side of every triangle is opposite to the greater angle . Let ABC be a triangle , of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA . Because AC is greater than AB ...
... THEOR . THE greater side of every triangle is opposite to the greater angle . Let ABC be a triangle , of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA . Because AC is greater than AB ...
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