 N6 is to say that if two nonvertical lines are perpendicular, then the slope of one is the negative reciprocal of the slope of the other.  Analytic Geometry - Page 10by Clyde Elton Love - 1927 - 257 pagesFull view - About this book
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...of />, or /'. must lie !.rlow S. Theorem VI. If two lines are parallel, their slopes are equal; if perpendicular, the slope of one is the negative reciprocal of the slope of the oth er, and conversely. Proof. Let <*! and a, be the inclinations and mi and m2 the slopes of the lines.... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 453 pages
...perpendicular when and only when AA' + BB' = 0. For two lines are perpendicular when and only when the slope of one is the negative reciprocal of the slope of the second (Theorem VI, p. 36) ; that is, _A__&_ Б A'' or AA/ + BB/ = 0. Corollary IV. The intercepts... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...perpendicular when and only when AA' + BB' = 0. For two lines are perpendicular when and only when the slope of one is the negative reciprocal of the slope of the second (Theorem VI, p. 36) ; that is, -- = — B~ A'' or AA' + BB' = 0. Corollary IV. The intercepts... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1905 - 240 pages
...perpendicular when and only when AA' + BB' = 0. For two lines are perpendicular when and only when the slope of one is the negative reciprocal of the slope of the second (Theorem VI, p. 29) ; that is, A _B' ~B~A'' or AA' + BB' = 0. Corollary IV. The intercepts of... | |
 | Percey Franklyn Smith, William Anthony Granville - Calculus - 1910 - 250 pages
...perpendicular lines, in terms of their slopes. Theorem. If two lines are parallel, their slopes are equal ; if perpendicular, the slope of one is the negative reciprocal of the slope of the other, and conversely. Proof. Let ut and «., be the inclinations and m^ and m2 the slopes of the lines. If... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1912 - 364 pages
...perpendicular lines in terms of their slopes. Theorem. If two lines are parallul, their slopes are equal ; if perpendicular, the slope of one is the negative reciprocal of the slope of the other, and conversely. Proof. Let «j and cr2 be the inclinations and тг and m2 the slopes of the lines.... | |
 | Clyde Elton Love - Calculus - 1916 - 390 pages
...tangent at the point of contact — can be found at once from that of the tangent, by recalling that if two lines are perpendicular, the slope of one is the negative reciprocal of the slope of the other. Examples: (a) Find the tangent and normal to the ellipse at the point (1, — 2). We have hence Therefore... | |
 | Clyde Elton Love - Calculus - 1916 - 380 pages
...tangent at the point of contact — can be found at once from that of the tangent, by recalling that if two lines are perpendicular, the slope of one is the negative reciprocal of the slope of the other. Examples: (a) Find the tangent and normal to the ellipse at the point (1, — 2). We have hence 2 Therefore... | |
 | Charles Sumner Slichter - Functions - 1918 - 530 pages
...through the center of the circle x1 + y2 - Sx - 2y = 0. 69. Show that if two straight lines are mutually perpendicular, the slope of one is the negative reciprocal of the slope of the other. 60. Show that (x - a)2 + y2 = a2 and (x - За)2 + у2 = a2 are tangent to each other. 61. Find analytically... | |
 | Edwin Schofield Crawley, Henry Brown Evans - Geometry, Analytic - 1918 - 257 pages
...Theorems relating to perpendicular lines. I. // two straight lines are perpendicular to each other, the slope of one is the negative reciprocal of the slope of the other. If two lines are perpendicular the angle <j> in equation (12), p. 51, is 90°, hence tan 0 = <x>, and... | |
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