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 100
Side 8
... wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC . Wherefore from the given point A a straight line AL has been drawn equal ...
... wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC . Wherefore from the given point A a straight line AL has been drawn equal ...
Side 9
... wherefore also the point C shall coincide with the point F , because the straight line AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC shall coin- cide with the base EF , because the point B ...
... wherefore also the point C shall coincide with the point F , because the straight line AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC shall coin- cide with the base EF , because the point B ...
Side 13
... wherefore likewise the angle BAC coincides with the angle EDF , and is equal to ` 8 Ax . it . Therefore if two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is to divide it into two equal ...
... wherefore likewise the angle BAC coincides with the angle EDF , and is equal to ` 8 Ax . it . Therefore if two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is to divide it into two equal ...
Side 17
... Wherefore , if at a point , & c . Q. E. D. PROP . XV . THEOR . IF two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle ...
... Wherefore , if at a point , & c . Q. E. D. PROP . XV . THEOR . IF two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle ...
Side 25
... wherefore also the angle BCG is equal to the angle BCA , the less to the greater , which is im- possible ; therefore ... wherefore BC is not unequal to 16. 1 , EF , that is , it is equal to it ; and AB is equal to DE ; therefore the two ...
... wherefore also the angle BCG is equal to the angle BCA , the less to the greater , which is im- possible ; therefore ... wherefore BC is not unequal to 16. 1 , EF , that is , it is equal to it ; and AB is equal to DE ; therefore the two ...
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