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| Coffin D. — Algebra and Pre-Calculus on the HP 48G/GX |
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| Ïðåäìåòíûé óêàçàòåëü |
 term in algebraics 17
Absolute value 173 180
ADD function 13
Affine transformations 228
Amplitude of a trigonometric function 41—43
Analytic geometry 172—241
Angle key (polar entry) 59
Angle mode and parametric plotting 69
Angle mode, effect on polar entry 59
Angle of rotation 212 221—222 224—225 228 231 233 237 271
Angle, determined by a cone with its base 243
Angle, determined by intersecting lines 179 202
Angle, determined by intersecting planes 179 206
Angle, inscribed 251
Angle, orientation 255 258—259 261
Angle, polar 94
Angles of triangle 29—30 44
Angles, general 50
Angles, HMS format 30 51 54
Angles, principal 32 50
Angles, supplements of 47 202 206
Angles, units of measure 30—31
Angles, vertical 251
Arc, intercepted 251
Arc, length 33 94—95
Area of a triangle 45 51 178 198
Area of circular sector 33
Arithmetic with matrices 139—143
Arithmetic with polynomials 109—114
Arithmetic with symbolic matrices 158
Arithmetic with vectors 174—175
Arrays of points 213—214 216 218—241
Arrays, symbolic 143
Arrays, transformations with 212
Arrays, vectors 173
Astroid 90
Asymptotes 18—19 62 68 79—82 96 99 263
Augmented matrices 145—146 148—152 157—159
Autoscaling a plot 39
Axis of rotation 212 221—225
Axis, parabolic 260
Axonometric projections 228 234
Bisection approximation method 123
Cardioid 87
Cardioids 65
Cassinian curves 76—78
Center of projection 228
Centering plot on cursor position 107
Centroid of a triangle 178 190—191
Check-mark 18
Checksum of a program 275
chords 251
circle 243 247 250—255 267 269 273
Circle and cycloidal curves 84
Circle and radians 30
Circle arc 30
Circle center 250 252 254 268 273
Circle radius 29 84 250 252 254 268
Circle unit 29
Circle, cissoid of 82
Circle, conchoid of 82
Cissoid of Diodes 79
Cissoids 79—83
Coefficients of functions 41—43
Coefficients of general equation of a conic 248 250 254 260 262—267 269 271—273
Coefficients of general equation of a plane 187—188 196 203 205 207
Cofactor 153—154 158
Cofactor matrix 153—155 159
COLCT command 14 109
Collecting like terms 36 109
Collinear lines 179 197
Collinear points 178—179 186 196
Complex Conjugates Theorem 118
complex numbers 60
Complex numbers and coordinate points 60 250
Complex numbers and parametric functions 66 72 72—75
Complex numbers and the Solver 125
Complex numbers, algebraic vs. coordinate forms 66
Complex numbers, conjugates of 118
Complex numbers, polar representation 60
Complex roots 125—126 129—131
Compositions of functions 22—23
Conchoid of Nicomedes 79 81
Conchoids 79—83
Condition number of a matrix 136—138
Conic plot type 244—245
Conic sections 242—273
Conic sections, plotting 244—249 256 271—273
Conic sections, translating and rotating 271 -273
CONNECT mode 18—19 62
Constants—symbolic 24
Constraints (linear program) 162—166 168 170—171
Converting decimals to fractions 40
Converting one linear equation form to another 193—195
Converting one-variable function to polynomial 133
Coordinate system 220
Coordinates of graphics cursor 16
Coordinates, display of 58—59
Coordinates, homogeneous 213
Coplanar 201 209 250
Cosecant 29
Cosine 29
Cotangent 29
Cramer's rule 144 150—152 159
Cross product 174—175 187—188 190 196—198 203 205 208 211
Curtate curves 84—85 88 91—93
Curves, Cassinian 76—78
Curves, cissoids and conchoids 79—83
Curves, cycloidal 84—93
Curves, spirals 94—97
Cycloid 84
Cycloidal curves 84—93
Defining procedure in user-defined functions 24
DEGREES 30—31 51
Deltoid 90
Depressed polynomial 121
derivatives 104—107
Descartes' Rule of Signs 119—121 124—125
Determinant 142 144 150—155 158
Diagonal elements of a matrix 143 214
Dimensions of a matrix 139—141
Dimetric projection 212 228 231—232
Direction angles of a vector 176—177
Direction vectors of lines 185 192 196—197 202 205 209—210 225
Directory 27 275
Directrix 243 257 259 263
Discontinuities 18
Discriminant of a quadratic 13
Display range 26 31 39—40 61 247
Distance between center and focus 261
Distance between focus and vertex 259
Distance between parallel lines 179 201
Distance between two points 178 180
Distance from a point to a line 178—179 189 198—199
Distance from a point to a plane 179 207
Division of matrices 143
Division of polynomials 112—113
Division, synthetic 115—124
Domain of a function 11
Dot product 140 174—175 187—188 202 208—211
Eccentricity 243 255 257 259 261 263—264
ellipse 243 246 255—258 269 271
Ellipse, angle of orientation 255—256 258
Ellipse, center of 255—256 258
Ellipse, directrixes 257—258
Ellipse, eccentricity 255—258
Ellipse, foci 255 257—258
Ellipse, semimajor 255—258
Ellipse, semiminor 255—256 258
Ellipse, vertices 257—258
| Epicycloid 69 84 86—87
Epitrochoid 88—89
EQ variable 124
Equation of a circle 250 252—253 268—269
Equation of a hyperbola 261—264
Equation of a line, array form 189 193—195 199—201
Equation of a line, determined by three points 178
Equation of a line, determined by two points 178 182
Equation of a line, general form 178 189 193—195 199—201
Equation of a line, intersection of two planes 179
Equation of a line, parametric form 178 183 185 192—201 203 205—206 210—211 225
Equation of a line, perpendicular to a line 197
Equation of a line, perpendicular to two other lines 179 188
Equation of a line, position-direction (PD) form 193—195 197—199 201 203 209—211 225
Equation of a line, slope-intercept form 178 182 192—195 265
Equation of a parabola 259—260
Equation of a plane, determined by a point and a line 179 196
Equation of a plane, determined by a point and plane 179 208
Equation of a plane, determined by its normal and a point 179
Equation of a plane, determined by its traces 179 204
Equation of a plane, determined by three points 178 187—188
Equation of a plane, determined by two noncollinear lines 179 203
Equation of a plane, general form 187 205 207
Equation of a plane, vector form 206 211
Equation of an ellipse 255 258
Equation of general conic 243 248 250 259
Equation of the normal to a plane 179
Equations, consistent vs. inconsistent 135
Equations, degenerate 135
Equations, independent 135 137
EquationWriter 36
Equiangular spiral 95
Euclidean norm 160
EXPAN command 14
Expansion of a polynomial 114
Exponential functions 20—21
Extracting rows or columns of a matrix 159
extrema 104—105
Eyepoint 228 234 236 238—241
Factor of a synthetic division 115—118 120—123
Factor Theorem 118
Flags, controlling principal vs. general values (-1) 50
Flags, controlling symbolic constants (-2) 24
Flags, controlling symbolic results (-3) 24 36 40
Focus 243 255 257 259 263
Folium of Descartes 62 66 80
Foreshortening of axes 228 231—233
Fractions 40 143 154—155 200 211 253
Function plot type 136 245
Functions and geometric transformations 212
Functions, complex-valued 72
Functions, composites of 22—23
Functions, exponential 20—21
Functions, finding range of 11
Functions, implicit 244—245
Functions, inverse 20 23 50
Functions, linear 9—11
Functions, logarithmic 20—21
Functions, non-periodic 94
Functions, objective 162
Functions, parametric 57—58
Functions, periodic 29 48
Functions, plotting 9
Functions, polar form 61
Functions, polynomials 101
Functions, quadratic 12—18
Functions, rational 18—19
Functions, solving graphically 15
Functions, solving numerically 17
Functions, solving symbolically 17
Functions, tracing 16
Functions, trigonometric 29
functions, user-defined 24—27
Fundamental theorem of algebra 118
Gauss-Jordan reduction 145
Gaussian elimination 144—149
General value of angles 50
Geometric objects 213
Gridmap plot type 74
Guesses when solving an equation 17 125
hemisphere 212
Heron's formula 45
HMS angle format 30 51 54
Homogeneous coordinate representation 213
Horizontal shift of a trigonometric function 41—43
Hyperbola 243 248 261—264 270 272
Hyperbola, angle of orientation 261—262 264
Hyperbola, asymptotes 263—264
Hyperbola, b parameter 261 -262 264
Hyperbola, center 261—262 264
Hyperbola, directrixes 263—264
Hyperbola, distance between center and foci 261
Hyperbola, eccentricity 261
Hyperbola, foci 261 263—264
Hyperbola, semimajor 262
Hyperbola, vertices 261 264
Hyperbolic spiral 94
Hypocycloid 84 89—90
Hypotrochoid 91—93
identities 48
Identities, double-angle 34
Identities, half-angle 35
Identities, Pythagorean 34
Identities, sum and difference 34
Identities, sum and product 35 40
Identities, verifying 34—40
Identity matrix 143 145 149 214 234
Inequalities 161
Inflection point 107
Inner product 140 174
Inscribed angle 251
Inserting rows or columns into a matrix 159
Intercept of a line 182 184 188 192—193 268
Intersection of chords 251
Intersection of line and a plane 210 211
Intersection of lines and conies 265—273
Intersection of perpendicular bisectors of chords 252
Intersection of secants 251
Intersection of two lines 179 200 202
Intersection of two planes 179 204 206
Intersection point 179 198 210—211
Intersection, plane and a right circular cone 243
Intersection, true vs apparent 65
Inverse functions 20 23
Inverse functions, trigonometric 48 50
Inverse of a matrix 142—144 149 153—156 159
ISOL command 14 23 48 50
Isolating a variable 14 48
Isometric projections 212 228 233
Law of Cosines 44—45
Law of Sines 44—45 52
Least common multiple 132
Least-squares solution 160
Lemniscate of Bernoulli 76 78
Limacons 82
Line segment 173
Line segment, dividing into a given ratio 178 181
Line segment, length 190
Line segment, midpoint of 178 181 184—185
Line segment, perpendicular bisector of 178 184—185 227 252
Line, equation of 178 182—183 185 188—189 192—195
Line, intersection of two planes 179 205
Line, parallel to it through a given point 179
Line, perpendicular through a given point 178—179 197
Line, vertical 270
Linear equations 134
Linear equations as a matrix equation 153
Linear equations, solving 145—156 205
Linear equations, symbolic solutions 157—159
Linear inequalities 161—171
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