... EUTOCIUS’ COMMENTARY TO ON THE SPHERE AND THE CYLINDER I TO BOOK 1 As I found that no one before us had written down a proper treatise on the books of Archimedes on Sphere and Cylinder, 1 and ... fall on the same side of the line, or some fall on the same side, and some on the line itself, but none on the other side.” And the same can b...
... EUTOCIUS’ COMMENTARY TO ON THE SPHERE AND THE CYLINDER II Now that the proofs of the theorems in the first book are clearly dis- cussed by us, the next thing is the same kind of study with the ... <ratio> of the <square> on AM to the <square> on MH and the <ratio> of AM to MH is the same as the ratio which the cube...
... Book II 18 5Eutocius’ Commentary to On the Sphere andthe Cylinder I 24 3Eutocius’ Commentary to On the Sphere andthe Cylinder II 270Bibliography 369Index 371vii
ACKNOWLEDGMENTSWork on this volume ... translation 12 Preliminary notes: conventions 53 Preliminary notes: Archimedes’ works 10Translation and Commentary 2 9On the Sphere and the Cylinder...
... reference is to SC I.42–3. 31 32 on the sphere and the cylinder i base equal to the greatest circle of the <circles> in the sphere, and a height equal to the diameter of the sphere, is, ... musical theory – well known to Archimedes and his audience – 4:3 and 3:2 are, respectively, the ratios of the fourth and the fifth.) 34 on the sphere...
... responsible for the creation of Greek mathematical writing. /1/ The second was: given a cone or a cylinder, to find a sphere equal to the cone or to the cylinder. 188 on the sphere and the cylinder ... the segment the same ratio which: both the radius of the sphere and the 192 on the sphere and the cylinder ii height of the remaining...
... Nations Convention on the Law of the Sea and the polar marine environment The 1982 United Nations Convention on the Law of the Sea (LOS Convention) was conceived as a framework convention ... United Nations Convention on the Law of the Sea. 2 34 1 The LOS Convention was negotiated through eleven sessions of the Third United Nations Conference on t...
... begin to take
on the responsibility for directing accounts in a mentored environment as they
progress upwards.
• Account Director: the responsibility of the account director is to manage the
relationship ... is left to the manager – but it is still up to the
director to know what is going on and to ensure the client is happy. Directors are
often involved in ge...
... target-setting, monitoring, evaluation and peer review of
regional and national programmes for enhancing innovation and of the bodies which
implement them
2001
At the Union level, the Commission should ... innovation, while taking other objectives, such as the
global reduction of State aid, into consideration.
EN
19
In addition to the simplification and harmonisation of th...
... struc-
tureless bare proton. The interactions cause it to make virtual transitions
from the bare proton to a state with an X-boson and a positron. The com-
plicated history of the proton is described ... phenomenon involving a charge falling onto the stretched
horizon. More generally, all of the information stored in the incident proton
should quickly be spread over the...