An Elementary Treatise On Determinants, With Their Application to Simultaneous Linear Equations And Algebraical Geometry
The book An Elementary Treatise On Determinants, With Their Application to Simultaneous Linear Equations And Algebraical Geometry was written by author Carroll, Lewis, 1832-1898 Here you can read free online of An Elementary Treatise On Determinants, With Their Application to Simultaneous Linear Equations And Algebraical Geometry book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is An Elementary Treatise On Determinants, With Their Application to Simultaneous Linear Equations And Algebraical Geometry a good or bad book?
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III. Prop, III. .'. the 3 Lines do not intersect in one Point, but there are 2 of them which intersect in one Point, and in one only. (Pnop. IIL (1) (2) If -B = ; and if there be, among the Equations to the 3 Lines, 2 which have their F-Block not evanescent ; then the Equations are consistent, and there is only one set of values for the Variables ; (Ch. III. Prop. VIIL the 3 Lines intersect in one Point, and in one only""'. (3) If B = ; and if every 2 of the Equations to the 3 Lines have their ...F-Block evanescent ; and if there be among them 2 which have their 5- Block not evanescent ; then 2 of the Lines are parallel ; (Prop. III. (2) and the 3 have the same direction. (Prop. III. (4) (4) If every 2 of the Equations to the 3 Lines have their ^-Block evanescent ; (.whence also ^ = 0) ; then the 3 Lines coincide. (Prop. III. (3) From (2), (3), and (4) may be deduced (5) lf^ = 0; then the 3 Lmes intersect in one Point at a finite or infinite distance. From (2) and (4) may be deduced * Prop.
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