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 |
Inni boken
Resultat 1-5 av 100
Side 8
... greater . It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw the straight line AD equal to C ; and from the centre A , and at the di- 3 Post . stance AD , describe the circle DEF ; and ...
... greater . It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw the straight line AD equal to C ; and from the centre A , and at the di- 3 Post . stance AD , describe the circle DEF ; and ...
Side 11
... greater than D A a the other : Let AB be the greater ; and from it cut off DB a 3.1 . equal to AC , the less , and join DC ; there fore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both the two sides , DB ...
... greater than D A a the other : Let AB be the greater ; and from it cut off DB a 3.1 . equal to AC , the less , and join DC ; there fore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both the two sides , DB ...
Side 12
... greater than BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal to the angle BCD ; but BDC has been proved to be greater than the same BCD ; which is impossible ...
... greater than BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal to the angle BCD ; but BDC has been proved to be greater than the same BCD ; which is impossible ...
Side 18
... greater than the angle ECF ; therefore the angle ACD is greater than BAE : In the same manner , if the side BC be bisected , it may be demonstrated 15. 1. that the angle BCG , that is , the angle ' ACD , is greater than the angle ABC ...
... greater than the angle ECF ; therefore the angle ACD is greater than BAE : In the same manner , if the side BC be bisected , it may be demonstrated 15. 1. that the angle BCG , that is , the angle ' ACD , is greater than the angle ABC ...
Side 19
... greater than the angles ABC , ACB ; but ACD , ACB are together equal to two right angles ; therefore the angles ABC ... 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 angles ABC , ACB ; but ACD , ACB are together equal to two right angles ; therefore the angles ABC ... greater side of every triangle is opposite to the greater angle . Let ABC be a triangle , of which the side AC is ...
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