Introduction to Quaternions |
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Page vii
... Algebra , more with the view of establishing principles than of applying processes . Experience has taught me that to induce a student to think for himself there is nothing so effectual as to lay before him . the different stages of the ...
... Algebra , more with the view of establishing principles than of applying processes . Experience has taught me that to induce a student to think for himself there is nothing so effectual as to lay before him . the different stages of the ...
Page 1
... Algebraic sciences are based on ordinary arithmetic , start- ing at first with all its restrictions , but gradually freeing themselves from one and another , until the parent science scarce recognises itself in its offspring . A student ...
... Algebraic sciences are based on ordinary arithmetic , start- ing at first with all its restrictions , but gradually freeing themselves from one and another , until the parent science scarce recognises itself in its offspring . A student ...
Page 3
... Algebra ) boldly lays it down as a definition or first principle of his science that ' minus into minus makes plus ' . The science he is founding is subject to this condition , and the results must be interpreted consistently with it ...
... Algebra ) boldly lays it down as a definition or first principle of his science that ' minus into minus makes plus ' . The science he is founding is subject to this condition , and the results must be interpreted consistently with it ...
Page 4
... Algebra as a growth out of Arithmetic by the removal of the restriction that subtraction shall require something to subtract from . The word ' subtraction ' may indeed be inappropriate , as the word multiplication ap- peared to be to ...
... Algebra as a growth out of Arithmetic by the removal of the restriction that subtraction shall require something to subtract from . The word ' subtraction ' may indeed be inappropriate , as the word multiplication ap- peared to be to ...
Page 6
... student against confounding ' vector AB ' with ' vector BA . ' 2. In order to apply algebra to geometry , it CHAPTER II VECTOR ADDITION AND SUBTRACTION 6-31 Definition of a VECTOR, with conclusions immediately resulting.
... student against confounding ' vector AB ' with ' vector BA . ' 2. In order to apply algebra to geometry , it CHAPTER II VECTOR ADDITION AND SUBTRACTION 6-31 Definition of a VECTOR, with conclusions immediately resulting.
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Common terms and phrases
A. S. WALPOLE A. W. VERRALL ALGEBRA ARITHMETIC Assistant Master aßy axis BEGINNERS bisects Cambridge centre chord circle cone CONIC SECTIONS conjugate diameters constant drawn Edited ELEMENTARY TREATISE ellipse ellipsoid ENGLISH equal EXAMPLES Exercises Fcap find the locus G. E. FASNACHT GEOMETRY given lines given point gives GRAMMAR GREEK Hence HISTORY hyperbola Illustrated intersection Introduction and Notes ISAAC TODHUNTER J. P. MAHAFFY LATIN Litt Litt.D LL.D M.A. BOOK M.A. Cr MACMILLAN'S Mathematics middle points parabola parallelepiped parallelogram PRIMER Prof Professor quaternion revised right angles rotation Sapa Saß scalar School shews Spop squares strain tangent plane tetrahedron Translated triangle Trinity College unit vectors values Vaß vector parallel vector perpendicular Vẞy whence yẞ αβγ φρ
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