## An Elementary Treatise on Quaternions |

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angle application axes axis becomes body centre Chapter circle condition cone conjugate considered constant contains course curve definite depends determine differential direction drawn easily effect element Eliminating ellipsoid employed envelop equal equation equivalent evidently example expression extremity fact factors fixed forces formula function given gives Hamilton Hence integral intersection involves joining length locus means multiplied normal obtain obviously once operator origin parallel particular pass perpendicular plane position proof properties prove quaternion radius rectangular referred represents respectively result rotation Saß satisfied scalar second order seen shew sides similar Similarly simple solution space sphere spherical strain student suppose surface tangent plane tensor theorem tion transformation triangle unit-vectors vector vector function versor write written

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Page 299 - SCRIPTURES, &c. The Cambridge Paragraph Bible of the Authorized English Version, with the Text revised by a Collation of its Early and other Principal Editions...

Page 298 - VILLEMAIN, with a Biographical Sketch of the Author, a Selection of Poems on Greece, and Notes Historical and Philological. By the same Editor, is.

Page 299 - Students of the Bible should be particularly grateful to (the Cambridge University Press) for having produced, with the able assistance of Dr Scrivener, a complete critical edition of the Authorized Version of the English Bible, an edition such as, to use the words of the Editor, 'would have been executed long ago had this version been nothing more than the greatest and best known of English classics.

Page 138 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.

Page 11 - The perpendicular bisectors of the sides of a triangle meet in a point which is equidistant from the vertices of the triangle. Let the -l. bisectors EE' and DD

Page 299 - Mr. Scrivener has carefully collated the text of our modern Bibles with that of the first edition of 1611, restoring the original reading in most places, and marking every place where an obvious correction has been made ; he has made the spelling as uniform as possible ; revised the punctuation (punctuation, as those who cry out for the Bible without note or comment should remember, is a continuous commentary on the text); carried out consistently the plan of marking' with italics all words not found...