The quadrature of the circle, the square root of two, and the right-angled triangle, by William Alexander Myers.
Annotations Tools
QUADRATURE OF THE CIRCLE. 113 1555613090938580753 -bultiplying this by tangent No. 7 we have 1099984565505235876 -5224779842639686625468648065798177627126514337489817601 3719716313591640029823644051645720435317842392159581760 secant No. 7. By Case 7, the numerator of the secant is 15556130909385807535 -224779842639686625468648065798177627126514337489817601, and the given radius is the 1/2 Then, by division, we have 155561309093858075352247798426396 --/2 = sine No. 7. 86625468648065798177627126514337489817601 = sne N 7 By Cae 7, 155561309093858075352247798426396866 -By Case, t scant s 109998456550523587637197163135916400 -25468648065798177627126514337489817601 and the radius is the 29823644051645720435317842392159581760 ad the radius s the square root of two. 2199969131010471752743943262718328 -Then, by division, we have 155561309093858075352247798426396. 0059647288103291440870635684784319163520 86625468648065798177627126514337489817601 cosine No 7 278891833058856418130859753892 -By Case 6, the scant No. 6 s 197206306373463926398445507329 -4774401 15556130938580753522477984263968662546864806579 -9118880 - 109998456550523587637197163135916400298236440516 -8177627126514337489817602 45720435317842392159581760'. 1555613090938580753522477 -And, by Case 7, the secant No. 7 is 1555309 5873 77 10999845655052358763719716 -9842639686625468648065798177627126514337489817601 313591640029823644051645720435317842392159581760' Therefore 1 10999845655052358763719716313591640029823644051 -64572043531784231 60 has been deducted from the assumed 645720435317842392159581760 radius, and twice that amount from the assumed diameter. 8
-
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
-
Scan #9
Page #9
-
Scan #10
Page V
-
Scan #11
Page VI
-
Scan #12
Page VII
-
Scan #13
Page VIII
-
Scan #14
Page 9
-
Scan #15
Page 10
-
Scan #16
Page 11
-
Scan #17
Page 12
-
Scan #18
Page 13
-
Scan #19
Page 14
-
Scan #20
Page 15
-
Scan #21
Page 16
-
Scan #22
Page 17
-
Scan #23
Page 18
-
Scan #24
Page 19
-
Scan #25
Page 20
-
Scan #26
Page 21
-
Scan #27
Page 22
-
Scan #28
Page 23
-
Scan #29
Page 24
-
Scan #30
Page 25
-
Scan #31
Page 26
-
Scan #32
Page 27
-
Scan #33
Page 28
-
Scan #34
Page 29
-
Scan #35
Page 30
-
Scan #36
Page 31
-
Scan #37
Page 32
-
Scan #38
Page 33
-
Scan #39
Page 34
-
Scan #40
Page 35
-
Scan #41
Page 36
-
Scan #42
Page 37
-
Scan #43
Page 38
-
Scan #44
Page 39
-
Scan #45
Page 40
-
Scan #46
Page 41
-
Scan #47
Page 42
-
Scan #48
Page 43
-
Scan #49
Page 44
-
Scan #50
Page 45
-
Scan #51
Page 46
-
Scan #52
Page 47
-
Scan #53
Page 48
-
Scan #54
Page 49
-
Scan #55
Page 50
-
Scan #56
Page 51
-
Scan #57
Page 52
-
Scan #58
Page 53
-
Scan #59
Page 54
-
Scan #60
Page 55
-
Scan #61
Page 56
-
Scan #62
Page 57
-
Scan #63
Page 58
-
Scan #64
Page 59
-
Scan #65
Page 60
-
Scan #66
Page 61
-
Scan #67
Page 62
-
Scan #68
Page 63
-
Scan #69
Page 64
-
Scan #70
Page 65
-
Scan #71
Page 66
-
Scan #72
Page #72
-
Scan #73
Page #73
-
Scan #74
Page 67
-
Scan #75
Page 68
-
Scan #76
Page #76
-
Scan #77
Page #77
-
Scan #78
Page 69
-
Scan #79
Page 70
-
Scan #80
Page #80
-
Scan #81
Page #81
-
Scan #82
Page 71
-
Scan #83
Page 72
-
Scan #84
Page 73
-
Scan #85
Page 74
-
Scan #86
Page #86
-
Scan #87
Page #87
-
Scan #88
Page 75
-
Scan #89
Page 76
-
Scan #90
Page #90
-
Scan #91
Page #91
-
Scan #92
Page 77
-
Scan #93
Page 78
-
Scan #94
Page #94
-
Scan #95
Page #95
-
Scan #96
Page 79
-
Scan #97
Page 80
-
Scan #98
Page #98
-
Scan #99
Page #99
-
Scan #100
Page 81
-
Scan #101
Page 82
-
Scan #102
Page 83
-
Scan #103
Page 84
-
Scan #104
Page 85
-
Scan #105
Page 86
-
Scan #106
Page 87
-
Scan #107
Page 88
-
Scan #108
Page 89
-
Scan #109
Page 90
-
Scan #110
Page 91
-
Scan #111
Page 92
-
Scan #112
Page 93
-
Scan #113
Page 94
-
Scan #114
Page 95
-
Scan #115
Page 96
-
Scan #116
Page 97
-
Scan #117
Page 98
-
Scan #118
Page 99
-
Scan #119
Page 100
-
Scan #120
Page 101
-
Scan #121
Page 102
-
Scan #122
Page 103
-
Scan #123
Page 104
-
Scan #124
Page 105
-
Scan #125
Page 106
-
Scan #126
Page 107
-
Scan #127
Page 108
-
Scan #128
Page 109
-
Scan #129
Page 110
-
Scan #130
Page 111
-
Scan #131
Page 112
-
Scan #132
Page 113
-
Scan #133
Page 114
-
Scan #134
Page 115
-
Scan #135
Page 116
-
Scan #136
Page 117
-
Scan #137
Page 118
-
Scan #138
Page 119
-
Scan #139
Page 120
-
Scan #140
Page 121
-
Scan #141
Page 122
-
Scan #142
Page 123
-
Scan #143
Page 124
-
Scan #144
Page 125
-
Scan #145
Page 126
-
Scan #146
Page 127
-
Scan #147
Page 128
-
Scan #148
Page 129
-
Scan #149
Page 130
-
Scan #150
Page 131
-
Scan #151
Page 132
-
Scan #152
Page 133
-
Scan #153
Page 134
-
Scan #154
Page 135
-
Scan #155
Page 136
-
Scan #156
Page 137
-
Scan #157
Page 138
-
Scan #158
Page #158
-
Scan #159
Page #159
-
Scan #160
Page 139
-
Scan #161
Page 140
-
Scan #162
Page 141
-
Scan #163
Page 142
-
Scan #164
Page 143
-
Scan #165
Page 144
-
Scan #166
Page 145
-
Scan #167
Page 146
-
Scan #168
Page 147
-
Scan #169
Page 148
-
Scan #170
Page #170
-
Scan #171
Page #171
-
Scan #172
Page 149
-
Scan #173
Page 150
-
Scan #174
Page 1
-
Scan #175
Page 2
-
Scan #176
Page #176
-
Scan #177
Page #177
-
Scan #178
Page 3
-
Scan #179
Page 4
-
Scan #180
Page #180
-
Scan #181
Page #181
-
Scan #182
Page 5
-
Scan #183
Page 6
-
Scan #184
Page #184
-
Scan #185
Page #185
-
Scan #186
Page 7
-
Scan #187
Page 8
-
Scan #188
Page #188
-
Scan #189
Page #189
-
Scan #190
Page 9
-
Scan #191
Page 10
-
Scan #192
Page #192
-
Scan #193
Page #193
-
Scan #194
Page 11
-
Scan #195
Page 12
-
Scan #196
Page #196
-
Scan #197
Page #197
-
Scan #198
Page 13
-
Scan #199
Page 14
-
Scan #200
Page #200
-
Scan #201
Page #201
-
Scan #202
Page 15 - Table of Contents
-
Scan #203
Page #203
-
Scan #204
Page #204
-
Scan #205
Page #205
-
Scan #206
Page #206
-
Scan #207
Page #207
Actions
About this Item
- Title
- The quadrature of the circle, the square root of two, and the right-angled triangle, by William Alexander Myers.
- Author
- Myers, William Alexander.
- Canvas
- Page 102
- Publication
- Cincinnati,: Wilstach, Baldwin & co., printers,
- 1874.
- Subject terms
- Circle-squaring
Technical Details
- Link to this Item
-
https://name.umdl.umich.edu/acm7834.0001.001
- Link to this scan
-
https://quod.lib.umich.edu/u/umhistmath/acm7834.0001.001/132
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:acm7834.0001.001
Cite this Item
- Full citation
-
"The quadrature of the circle, the square root of two, and the right-angled triangle, by William Alexander Myers." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/acm7834.0001.001. University of Michigan Library Digital Collections. Accessed May 23, 2025.