 ABC, iu terms of a, /3, y. 19. Find the locus of a point equidistant from the three planes Sap = 0, Spp = 0, Syp = 0. 20. If three mutually perpendicular vectors be drawn from a point to a plane, the sum of the reciprocals of the squares of their lengths...  An Elementary Treatise on Quaternions, - Page 150by Peter Guthrie Tait - 1867 - 320 pagesFull view - About this book
 | Peter Guthrie Tait - 1867 - 364 pages
...(e.) Express the perpendicular 8 let fall from the origin 0 on the plane ABC, iu terms of a, /3, y. 19. Find the locus of a point equidistant from the...intersect in a single straight line. CHAPTER VII. THE SPHERE AND ACYCLIC CONE. A FTER that of the plane the equations next in order 216. -i*- o f simplicity... | |
 | Philip Kelland, Peter Guthrie Tait - Quaternions - 1882 - 310 pages
...that the expression whatever be p, expresses always a vector parallel to a particular plane. Ex. 16. If three mutually perpendicular vectors be drawn from...point to a plane, the sum of the reciprocals of the square* of their lenglhs is independent of their directions. Let Stp = 1 be the equation of the plane,... | |
 | Philip Kelland, Peter Guthrie Tait - Quaternions - 1882 - 288 pages
...that the expression whatever be p, expresses always a vector parallel to a particular plane. Ex. 16. If three mutually perpendicular vectors be drawn from a point to a plane, the sutn of the reciprocals of the squares of their lengths is independent of their directions. Let Sfp... | |
 | Felix Arnold - School management and organization - 1910 - 314 pages
...and to parse every word in it and still be unable to tell what it means. For example, the sentence, If three mutually perpendicular vectors be drawn from...their lengths is independent of their directions," presents no great grammatical difficulty. The form of the sentence, the syntax of the different words,... | |
 | Felix Arnold - School management and organization - 1910 - 314 pages
...and to parse every word in it and still be unable to tell what it means. For example, the sentence, If three mutually perpendicular vectors be drawn from...the squares of their lengths is independent of their directions,3 presents no great grammatical difficulty. The form of the sentence, the syntax of the... | |
 | Peter Guthrie Tait - History - 2018 - 462 pages
...the plane ABC, in terms of a, /3, 7. 19. Find the locus of a point equidistant from the three planes 20. If three mutually perpendicular vectors be drawn...any two planes intersect in a single straight line. 22. Prove that the sum of the vector areas of the faces of any polyhedron is zero. TQI 12 CHAPTER VIII.... | |
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