If be the second point of intersection of the sphere with the secant BD drawn from any point B ; and take a radius vector AE, equal in length to BD', and in direction either coincident with, or opposite to, the chord AD : the locus of E is an ellipsoid,... A Manual of Quaternions - Page 114by Charles Jasper Joly - 1905 - 320 pagesFull view - About this book
| Sir William Rowan Hamilton - Quaternions - 1853 - 736 pages
...that chord either way prolonged, a portion AK be taken, which in length is equal to BD', the uucus **of the point E will be an ellipsoid, with A for its centre, and** B for a point of its surface ; ABC in this construction may be called the OENEKATiso TRIANGLE, and... | |
| Peter Guthrie Tait - Quaternions - 1867 - 320 pages
...sphere with the secant BD drawn from any point B ; and take a radius vector AE, equal in length to **BD', and in direction either coincident with, or opposite to, the chord AD : the locus of** E is an ellipsoid, whose centre is A, and which passes through B. (Hamilton, Elements, p. 227.) 23.... | |
| Peter Guthrie Tait - Quaternions - 1867 - 320 pages
...sphere with the secant BD drawn from any point B; and take a radius vector AE, equal in length to Bit ', **and in direction either coincident with, or opposite to, the chord AD : the locus of** E is an ellipsoid, whose centre is A, and which passes through B. (Hamilton, Elements, p. 227.) 23.... | |
| Sir William Rowan Hamilton - Quaternations - 1899
...intersection of the same spheric surface with the secant BU, drawn from a fixed external* point в ; **and take a radius vector AE, equal in length to the...opposite to, the chord AD : the locus of the point** z mil be an ellipsoid, with A for its centre, and icith в for a point of its surface. (7.) Or thus—... | |
| ...sphere with the secant BD drawn from any point B ; and take a radius vector AE, equal in length to **BD', and in direction either coincident with, or opposite to, the chord AD: the** looms of E is an ellipsoid, whose centre is A, and which passes through B. (Hamilton, Elements, p.... | |
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