Elements of Quaternions |
From inside the book
Results 1-5 of 100
Page xv
... write ( comp . Art . 396 ) , ( U ' ) ' + rr ' = Vector of Second Curvature plus Binormal , ( V ) A = V = = r2 + 7 λ ... writer objects to such known phrases as second curvature , torsion , & c . , and proposes in their stead a new name ...
... write ( comp . Art . 396 ) , ( U ' ) ' + rr ' = Vector of Second Curvature plus Binormal , ( V ) A = V = = r2 + 7 λ ... writer objects to such known phrases as second curvature , torsion , & c . , and proposes in their stead a new name ...
Page xlv
... write , Dia = Via , ( K3 ) being here a finite vector , namely the Vector Axis of Instantaneous Rotation : its versor U denoting the direction of that axis , and its tensor Ti representing the angular velocity of the body about it , at ...
... write , Dia = Via , ( K3 ) being here a finite vector , namely the Vector Axis of Instantaneous Rotation : its versor U denoting the direction of that axis , and its tensor Ti representing the angular velocity of the body about it , at ...
Page xlix
... write a = p ( 1 − e2 ) -1 = ch - 1 ( 1 — e2 ) - ' , ( R1 ) the constant a will have its usual signification , relatively to the orbit . ( 1 ) . The quantity Mr being here called the Potential , and de- noted by P , geometrical ...
... write a = p ( 1 − e2 ) -1 = ch - 1 ( 1 — e2 ) - ' , ( R1 ) the constant a will have its usual signification , relatively to the orbit . ( 1 ) . The quantity Mr being here called the Potential , and de- noted by P , geometrical ...
Page 3
... write , as in algebra , ( c ' - a ) − ( b − a ) = C – B , if c ' – A ' = c — A , - - - - we next define , that when a first vector AB is subtracted from a second vector ac which is co - initial with it , or from a third vector a'c ...
... write , as in algebra , ( c ' - a ) − ( b − a ) = C – B , if c ' – A ' = c — A , - - - - we next define , that when a first vector AB is subtracted from a second vector ac which is co - initial with it , or from a third vector a'c ...
Page 9
... write ẞ a ( because both are then parallel , in the usual sense of the word , to one common line ) , we can always find , or conceive as found , a coefficient x≥0 , which shall satisfy the equation ẞ = xa ; or , as we shall also write ...
... write ẞ a ( because both are then parallel , in the usual sense of the word , to one common line ) , we can always find , or conceive as found , a coefficient x≥0 , which shall satisfy the equation ẞ = xa ; or , as we shall also write ...
Contents
xxxix | |
xlv | |
lii | |
1 | |
3 | |
7 | |
8 | |
9 | |
12 | |
14 | |
17 | |
21 | |
37 | |
55 | |
60 | |
61 | |
67 | |
83 | |
86 | |
89 | |
92 | |
95 | |
143 | |
206 | |
226 | |
227 | |
263 | |
269 | |
271 | |
289 | |
307 | |
315 | |
321 | |
345 | |
347 | |
354 | |
371 | |
379 | |
387 | |
389 | |
391 | |
411 | |
418 | |
427 | |
435 | |
453 | |
483 | |
495 | |
501 | |
504 | |
569 | |
574 | |
575 | |
581 | |
585 | |
591 | |
593 | |
595 | |
598 | |
601 | |
604 | |
621 | |
629 | |
634 | |
641 | |
642 | |
649 | |
666 | |
669 | |
671 | |
674 | |
676 | |
681 | |
686 | |
689 | |
690 | |
694 | |
700 | |
705 | |
706 | |
709 | |
713 | |
719 | |
726 | |
729 | |
735 | |
736 | |
738 | |
742 | |
757 | |
761 | |
Other editions - View all
Common terms and phrases
ABCD algebra angle anharmonic axis centre CHAP circle coefficients collinear comp Compare the Note complanar cone conic conjugate considered construction curvature curve cyclic deduced denote derived differential diplanar direction ellipsoid equal equation expression formula four fourth proportional function geometrical given plane given points harmonic conjugate imaginary interpreted intersection length line oa linear locus multiplication negative notation osculating osculating circle osculating plane P₁ parallelogram perpendicular positive quadratic quadrilateral quinary radius reciprocal relative direction represented right line right quaternions right quotient right versors roots rotation round scalar SECTION sides sphere spherical spherical angle sub-articles supposed surface symbol tangent tensor ternion theorem tion triangle ABC twisted cubic variable vector VIII whence whereof write