Théorie et applications des équipollences, par C. A. Laisant.
16 4 146 ~~SECONDE PAIRTIE. - CHTAPITRE V. CHAPITRE V. AIRES DES FIGURES PLANES. Aire d'un polygone. 125i. Nous avons dja vu (55) comment on peai de'terminer l'aire d'un polygone quelconque A-BCD... F en faisant la somme alge'brique des aires des triangles OAB, OBC,.., etant un point quelconque du plan. Nous nous proposons d'en donner ici une nouvelle expression, qni pent avoir son inte'ret dans certains proble'mes. Soient K, L, M,..., Q(i.4)lspntmijeu.x Fig. 144. des c6te's AB, BC, CD,.... FA, respectivement, et 0 unpoint quelconque dn plan, qne nous prenons pour
-
Scan 1
Page #1
-
Scan 2
Page #2
-
Scan 3
Page #3
-
Scan 4
Page #4
-
Scan 5
Page #5
-
Scan 6
Page #6 - Title Page
-
Scan 7
Page #7
-
Scan 8
Page #8 - Title Page
-
Scan 9
Page #9
-
Scan 10
Page V
-
Scan 11
Page VI
-
Scan 12
Page VII
-
Scan 13
Page VIII
-
Scan 14
Page IX
-
Scan 15
Page X
-
Scan 16
Page XI
-
Scan 17
Page XII
-
Scan 18
Page XIII
-
Scan 19
Page XIV
-
Scan 20
Page XV
-
Scan 21
Page XVI
-
Scan 22
Page XVII
-
Scan 23
Page #23
-
Scan 24
Page 1
-
Scan 25
Page 2
-
Scan 26
Page 3
-
Scan 27
Page 4
-
Scan 28
Page 5
-
Scan 29
Page 6
-
Scan 30
Page 7
-
Scan 31
Page 8
-
Scan 32
Page 9
-
Scan 33
Page 10
-
Scan 34
Page 11
-
Scan 35
Page 12
-
Scan 36
Page 13
-
Scan 37
Page 14
-
Scan 38
Page 15
-
Scan 39
Page 16
-
Scan 40
Page 17
-
Scan 41
Page 18
-
Scan 42
Page 19
-
Scan 43
Page 20
-
Scan 44
Page 21
-
Scan 45
Page 22
-
Scan 46
Page 23
-
Scan 47
Page 24
-
Scan 48
Page 25
-
Scan 49
Page 26
-
Scan 50
Page 27
-
Scan 51
Page 28
-
Scan 52
Page 29
-
Scan 53
Page 30
-
Scan 54
Page 31
-
Scan 55
Page 32
-
Scan 56
Page 33
-
Scan 57
Page 34
-
Scan 58
Page 35
-
Scan 59
Page 36
-
Scan 60
Page 37
-
Scan 61
Page 38
-
Scan 62
Page 39
-
Scan 63
Page 40
-
Scan 64
Page 41
-
Scan 65
Page 42
-
Scan 66
Page 43
-
Scan 67
Page 44
-
Scan 68
Page 45
-
Scan 69
Page 46
-
Scan 70
Page 47
-
Scan 71
Page 48
-
Scan 72
Page 49
-
Scan 73
Page 50
-
Scan 74
Page 51
-
Scan 75
Page 52
-
Scan 76
Page 53
-
Scan 77
Page 54
-
Scan 78
Page 55
-
Scan 79
Page 56
-
Scan 80
Page 57
-
Scan 81
Page 58
-
Scan 82
Page 59
-
Scan 83
Page 60
-
Scan 84
Page 61
-
Scan 85
Page 62
-
Scan 86
Page 63
-
Scan 87
Page 64
-
Scan 88
Page 65
-
Scan 89
Page 66
-
Scan 90
Page 67
-
Scan 91
Page 68
-
Scan 92
Page 69
-
Scan 93
Page 70
-
Scan 94
Page 71
-
Scan 95
Page 72
-
Scan 96
Page 73
-
Scan 97
Page 74
-
Scan 98
Page 75
-
Scan 99
Page 76
-
Scan 100
Page 77
-
Scan 101
Page 78
-
Scan 102
Page 79
-
Scan 103
Page 80
-
Scan 104
Page 81
-
Scan 105
Page 82
-
Scan 106
Page 83
-
Scan 107
Page 84
-
Scan 108
Page 85
-
Scan 109
Page 86
-
Scan 110
Page 87
-
Scan 111
Page 88
-
Scan 112
Page 89
-
Scan 113
Page 90
-
Scan 114
Page 91
-
Scan 115
Page 92
-
Scan 116
Page 93
-
Scan 117
Page 94
-
Scan 118
Page 95
-
Scan 119
Page 96
-
Scan 120
Page 97
-
Scan 121
Page 98
-
Scan 122
Page 99
-
Scan 123
Page 100
-
Scan 124
Page 101
-
Scan 125
Page 102
-
Scan 126
Page 103
-
Scan 127
Page 104
-
Scan 128
Page 105
-
Scan 129
Page 106
-
Scan 130
Page 107
-
Scan 131
Page 108
-
Scan 132
Page 109
-
Scan 133
Page 110
-
Scan 134
Page 111
-
Scan 135
Page 112
-
Scan 136
Page 113
-
Scan 137
Page 114
-
Scan 138
Page 115
-
Scan 139
Page 116
-
Scan 140
Page 117
-
Scan 141
Page 118
-
Scan 142
Page 119
-
Scan 143
Page 120
-
Scan 144
Page 121
-
Scan 145
Page 122
-
Scan 146
Page 123
-
Scan 147
Page 124
-
Scan 148
Page 125
-
Scan 149
Page 126
-
Scan 150
Page 127
-
Scan 151
Page 128
-
Scan 152
Page 129
-
Scan 153
Page 130
-
Scan 154
Page 131
-
Scan 155
Page 132
-
Scan 156
Page 133
-
Scan 157
Page 134
-
Scan 158
Page 135
-
Scan 159
Page 136
-
Scan 160
Page 137
-
Scan 161
Page 138
-
Scan 162
Page 139
-
Scan 163
Page 140
-
Scan 164
Page 141
-
Scan 165
Page 142
-
Scan 166
Page 143
-
Scan 167
Page 144
-
Scan 168
Page 145
-
Scan 169
Page 146
-
Scan 170
Page 147
-
Scan 171
Page 148
-
Scan 172
Page 149
-
Scan 173
Page 150
-
Scan 174
Page 151
-
Scan 175
Page 152
-
Scan 176
Page 153
-
Scan 177
Page 154
-
Scan 178
Page 155
-
Scan 179
Page 156
-
Scan 180
Page 157
-
Scan 181
Page 158
-
Scan 182
Page 159
-
Scan 183
Page 160
-
Scan 184
Page 161
-
Scan 185
Page 162
-
Scan 186
Page 163
-
Scan 187
Page 164
-
Scan 188
Page 165
-
Scan 189
Page 166
-
Scan 190
Page 167
-
Scan 191
Page 168
-
Scan 192
Page 169
-
Scan 193
Page 170
-
Scan 194
Page 171
-
Scan 195
Page 172
-
Scan 196
Page 173
-
Scan 197
Page 174
-
Scan 198
Page 175
-
Scan 199
Page 176
-
Scan 200
Page 177
-
Scan 201
Page 178
-
Scan 202
Page 179
-
Scan 203
Page 180
-
Scan 204
Page 181
-
Scan 205
Page 182
-
Scan 206
Page 183
-
Scan 207
Page 184
-
Scan 208
Page 185
-
Scan 209
Page 186
-
Scan 210
Page 187
-
Scan 211
Page 188
-
Scan 212
Page 189
-
Scan 213
Page 190
-
Scan 214
Page 191
-
Scan 215
Page 192
-
Scan 216
Page 193
-
Scan 217
Page 194
-
Scan 218
Page 195
-
Scan 219
Page 196
-
Scan 220
Page 197
-
Scan 221
Page 198
-
Scan 222
Page 199
-
Scan 223
Page 200
-
Scan 224
Page 201
-
Scan 225
Page 202
-
Scan 226
Page 203
-
Scan 227
Page 204
-
Scan 228
Page 205
-
Scan 229
Page 206
-
Scan 230
Page 207
-
Scan 231
Page 208
-
Scan 232
Page 209
-
Scan 233
Page 210
-
Scan 234
Page 211
-
Scan 235
Page 212
-
Scan 236
Page 213
-
Scan 237
Page 214
-
Scan 238
Page 215
-
Scan 239
Page 216
-
Scan 240
Page 217
-
Scan 241
Page 218
-
Scan 242
Page 219
-
Scan 243
Page 220
-
Scan 244
Page 221
-
Scan 245
Page 222
-
Scan 246
Page 223
-
Scan 247
Page 224
-
Scan 248
Page 225
-
Scan 249
Page 226
-
Scan 250
Page 227
-
Scan 251
Page 228
-
Scan 252
Page 229
-
Scan 253
Page 230
-
Scan 254
Page 231
-
Scan 255
Page 232
-
Scan 256
Page 233
-
Scan 257
Page 234
-
Scan 258
Page 235
-
Scan 259
Page 236
-
Scan 260
Page 237
-
Scan 261
Page 238
-
Scan 262
Page 239
-
Scan 263
Page 240
-
Scan 264
Page 241
-
Scan 265
Page 242
-
Scan 266
Page 243
-
Scan 267
Page 244
-
Scan 268
Page 245
-
Scan 269
Page 246
-
Scan 270
Page 247
-
Scan 271
Page 248
-
Scan 272
Page 249
-
Scan 273
Page 250
-
Scan 274
Page 251
-
Scan 275
Page 252
-
Scan 276
Page 253
-
Scan 277
Page 254
-
Scan 278
Page 255
-
Scan 279
Page 256
-
Scan 280
Page 257
-
Scan 281
Page 258
-
Scan 282
Page 259
-
Scan 283
Page 260
-
Scan 284
Page 261
-
Scan 285
Page 262
-
Scan 286
Page 263
-
Scan 287
Page 264
-
Scan 288
Page 265
-
Scan 289
Page 266
-
Scan 290
Page 267
-
Scan 291
Page 268
-
Scan 292
Page 269
-
Scan 293
Page 270
-
Scan 294
Page 271
-
Scan 295
Page 272
-
Scan 296
Page 273
-
Scan 297
Page 274
-
Scan 298
Page 275
-
Scan 299
Page 276
-
Scan 300
Page 277
-
Scan 301
Page 278
-
Scan 302
Page 279
-
Scan 303
Page 280
-
Scan 304
Page 281
-
Scan 305
Page 282
-
Scan 306
Page 283
-
Scan 307
Page 284
-
Scan 308
Page 285
-
Scan 309
Page 286
-
Scan 310
Page 287
-
Scan 311
Page 288
-
Scan 312
Page 289
-
Scan 313
Page 290
-
Scan 314
Page 291
-
Scan 315
Page 292
-
Scan 316
Page 293
-
Scan 317
Page 294
-
Scan 318
Page 295 - Table of Contents
-
Scan 319
Page 296 - Table of Contents
-
Scan 320
Page 297 - Table of Contents
-
Scan 321
Page 298 - Table of Contents
-
Scan 322
Page 299 - Table of Contents
-
Scan 323
Page #323
-
Scan 324
Page 1
-
Scan 325
Page 2
-
Scan 326
Page 3
-
Scan 327
Page 4
-
Scan 328
Page #328
-
Scan 329
Page #329
-
Scan 330
Page #330
-
Scan 331
Page #331
About this Item
- Title
- Théorie et applications des équipollences, par C. A. Laisant.
- Author
- Laisant, C.-A. (Charles-Ange), 1841-1920.
- Canvas
- Page 146
- Publication
- Paris,: Gauthier-Villars,
- 1887.
- Subject terms
- Coordinates
Technical Details
- Link to this Item
-
https://name.umdl.umich.edu/abn7895.0001.001
- Link to this scan
-
https://quod.lib.umich.edu/u/umhistmath/abn7895.0001.001/169
Rights and Permissions
The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].
DPLA Rights Statement: No Copyright - United States
Related Links
IIIF
- Manifest
-
https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abn7895.0001.001
Cite this Item
- Full citation
-
"Théorie et applications des équipollences, par C. A. Laisant." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abn7895.0001.001. University of Michigan Library Digital Collections. Accessed June 20, 2025.