Gunpowder and Geometry

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Gunpowder and Geometry Page 31

by Benjamin Wardhaugh


  Figure 7, page 54

  Paul Sandby, The Royal Military Academy at Woolwich, c. 1770.

  Royal Collection Trust/© Her Majesty Queen Elizabeth II 2018.

  Figure 8, page 56

  Thomas Seccombe, Gentlemen Cadets, 1783.

  Royal Collection Trust/© Her Majesty Queen Elizabeth II 2018.

  Figure 9, page 72

  Edward Scriven, The Gallery of Portraits with Memoirs (1833–7), vol. 6, plate between pp. 20–21.

  The Print Collector/Alamy Stock Photo.

  Figure 10, page 89

  Charles Hutton, ‘The Force of Fired Gun-Powder, and the Initial Velocities of Cannon Balls, Determined by Experiments’, Philosophical Transactions 68 (1778), accompanying plate.

  Photograph by the author from a copy in the author’s collection.

  Figure 11, page 97

  Joshua Reynolds, Sir Joseph Banks, 1773.

  The Picture Art Collection / Alamy Stock Photo.

  Figure 12, page 115

  Engraving of Charles Hutton by Charles Knight after Mary Byrne.

  Wellcome Collection. CC BY.

  Figure 13, page 147

  Philip Reinagle, Isabella and Camilla Hutton, 1788.

  Photograph by Jim Campbell. Reproduced by kind permission of the Vignoles family.

  Figure 14, page 159

  Portsmouth Record Office, Vignoles papers 1072A/App. 10, fol. 1.

  Reproduced by kind permission of Portsmouth Libraries & Archives Service, Portsmouth City Council, All rights reserved.

  Figure 15, page 176

  Engraving of Olinthus Gregory by Henry Robinson after Richard Evans.

  Science History Images/Alamy Stock Photo.

  Figure 16, page 190

  Engraving of Charles Hutton after H. Ashby.

  Science History Images/Alamy Stock Photo.

  Figure 17, page 216

  Thomas Phillips, Sir Joseph Banks, 1810.

  Granger Historical Picture Archive/Alamy Stock Photo.

  Figure 18, page 225

  Engraving of Hutton’s bust after Sebastian Gahagan, 1822.

  Chronicle/Alamy Stock Photo.

  Figure 19, page 227

  Andrew Morton, Charles Hutton, c. 1822.

  Photograph reproduced by permission of the Newcastle Literary and Philosophical Society.

  Index

  The page numbers in this index relate to the printed version of this book; they do not match the pages of your ebook. You can use your ebook reader’s search tool to find a specific word or passage.

  Adams, John 126

  Addiscombe, Surrey 132, 210

  Adrain, Robert 178, 243

  Advocates’ Library, Edinburgh 230

  American Philosophical Society 118

  American War of Independence 66, 68–9, 104, 126, 229

  Analytical Society, Cambridge 197

  Andrew, Dr James 210, 222

  Archimedes 134, 185

  Armstrong, William 215

  Asiatic Researches 186

  Astronomical Society of London 217, 221, 239

  Augoyat, Antoine-Marie, Mémoire sur l’effet des feux verticaux 179–80

  Austen, Jane 173, 201, 211, 229

  Austin, Gilbert 213

  Avison, Charles 30

  Ayscough, Hannah 125

  Babbage, Charles 175, 218, 220, 221, 223, 238

  Baily, Francis (astronomer) 210, 212, 217, 218, 221, 223

  C. and R. Baldwin (publishing company) 166, 167

  ballistics experiments 88–92, 135–41, 176, 240–1

  Banks, Joseph 83; animosity towards Hutton 97–9, 100–2, 104–5, 110–13, 203–4; attempts to replace Pringle’s men with his own 99; blocks Maskelyne’s re-election to RS Council 104–5; character and description 115, 215–16; conduct considered bullying and overbearing 102–3; contentious role as president of Royal Society 97–8, 99, 102–13, 115, 215–18; death of 218; dislike of mathematics and mathematicians 99, 167, 216–17, 223, 238; posthumously savaged by Hutton and Gregory 219–20; reduced tension with Hutton 115–17, 120; replaces Pringle as secretary of Royal Society 97

  Banson family 40

  Barbados 157

  Barlow, Peter 222

  Belford, General 60

  Bell, John 242

  Bengal Artillery 224, 243

  Benwell Hall 32

  Bergen-op-Zoom 201

  Bewick, Thomas 45

  Blagden, Charles 120

  Blake, William 119–20

  Blasphemy Act (1698) 29

  Blomfield, Thomas 88

  Board of Longitude 73, 76, 77, 81, 82, 96, 118, 216–17

  Board of Ordnance 51, 55, 99, 118, 142, 144, 161, 172, 179, 235

  Bombay 243

  Bombay Observatory 224

  Bonnet, Charles 106

  Bonnycastle, John 174, 202, 205, 218

  bridge building 45–6, 149, 173, 186, 193

  Brisbane, Sir Thomas 201

  Bristol 11

  The British Critic 165, 168

  British Museum 115, 166, 203–4, 215

  Brown, Hugh (mathematical translator) 50

  Bruce, Edward 214

  Bruce, John 214, 242

  Bryan, Margaret 174

  Burney, Charles 223

  Burrow, Reuben 73, 84, 118–19, 191

  Buxar 119

  Caius College, Cambridge 193

  Calcutta 243

  Caledonian Miscellany 205

  Cambridge Mathematical Journal 239

  Cambridge Philosophical Society 239

  Cambridge Senate House 239

  Cambridge University 33, 48, 61, 217, 218

  Carnan, Thomas 118

  Cavendish, Henry 86, 182–3, 222–3, 240

  Chambers’ Cyclopaedia 151

  Charles Stuart (Bonnie Prince Charlie) 10

  Children, George 231

  Christ Church, Oxford 152

  Christie, Samuel 222

  Clairaut, Alexis 153, 203

  Clarke, Henry 102

  Clarke, Samuel 60; Diarian Repository 47

  coal mining; children employed in 7–9, 16; putting 14; working conditions 8–9, 14–16

  collieries 217; appearance of miners 7; building and running 5–6; pit villages and inhabitants 6–7; provision of housing 6

  colliery ‘overman’ 5

  colliery ‘viewer’ 2–3

  Committee of Public Safety 179

  Congreve, William 141, 143

  Connaissance des tems 222

  Corporation of London 212, 228

  Cotes, Roger 23

  Coughron, George 46–7

  Courtois (French merchant) 158, 159, 160

  Cowley, John Lodge 48

  Croudace, Mr (Camilla Vignoles’s husband) 232, 233

  D’Alembert, Jean-Baptiste Le Rond 197

  Damen, Dr 152

  Davy, Humphry 220–1, 222, 226, 230, 238

  De Morgan, Augustus 119

  Delaval 9, 37

  Descartes, René 23

  Despiau, M.L., Select Amusements in Philosophy and Mathematics 165

  Diary Companion 121–2

  Dictionary of National Biography 241, 243

  Diderot, Denis, Encyclopédie 150

  Dissenting Academies 61

  Dixon, Jeremiah 84

  Donne, Benjamin (Master of Mechanics) 8

  Douglas, Howard 127–8

  Dowling, Charles Hutton (mathematician) 230

  Dowling, Daniel 180

  Dupin, Charles, Military Force of Great Britain 179

  earth’s density measurements 84–7, 118, 171, 183, 183–4, 222

  East India Company 119, 132, 144, 175, 186, 222, 224

  Edinburgh 152

  Edinburgh Review 188

  Edinburgh University 96, 174

  Edney, J.M. 180

  Emerson, William 31, 50, 193, 205

  Encyclopaedia Britannica 150

  Engineers’ Corps 59, 64, 119

  Euclid 42, 61; Elements of Geometry 58, 203
r />   Euler, Leonhard 153, 197, 203

  Evans, Lewis 174, 175

  Ferguson, James 32, 205

  Fisher, Anne, New Grammar 9–10, 19

  Flanders 143

  Frame, Francis 5, 8, 15, 18

  Franklin, Benjamin 99–100, 205

  Free Writing School (Newcastle) 40, 51

  French Revolution 142, 229

  Frend, William 121

  Friday Dining Club 116, 120–1

  Fryer, John 31, 47, 51

  Gahagan, Sebastian 223, 224

  The Gentleman’s Diary 34, 121, 174, 176, 240

  The Gentleman’s Magazine 157

  Geological Society 217

  George II 10

  George III 100, 115, 126, 135, 172

  Gibraltar 139

  Gompertz, Benjamin 221

  Grand Alliance 5–6

  Great Northern coalfield 3, 224

  Green, William 55, 63, 64, 65, 67

  Gregory family 152

  Gregory, Olinthus; background 175; character and description 175; collaborates with Hutton on Course of Mathematics 181–2; collects examples of wrongs done to mathematics by Banks 216; death of 236, 242; as founder member of London University 177; friendship with Hutton 202, 205, 210, 211; given some of Hutton’s papers and a diary 234–6; helps Hutton on revised editions of his works 212; helps organise subscription for bust of Hutton 223; helps Vignoles in his civil engineering career 232; papers rejected by Transactions 218; proposed life of Hutton 242; savages Banks’s character and presidency of the Royal Society 219–20; supports Hutton in print 198; teaches Hutton’s son Charles Henry 202; translator, writer and teacher of mathematics 175, 176–7, 205, 212–13; worked on ballistic pendulums and windage of cannon 176–7; Pantologia 177

  Gresham College, London 48

  Griffiths, Mary see Vignoles, Mary Griffiths

  Guadeloupe 147, 157, 158, 159

  Haarlem Philosophical Society 118

  Harrison, John 74, 153

  Harrow School 22

  Henry VIII 53

  Herschel, William 121, 216, 220, 221

  High Heaton 5, 19, 21

  Hobhouse, Benjamin 223

  Horsley, Samuel 50, 119, 205; attempts to speak at Royal Society meeting 94; examiner at Woolwich 83; as member of the Friday Club 121; receives preferment within the Church 117; row with Banks 105–6, 107, 109–11, 113; and secession of Fellows from Royal Society 116; steps down as secretary of Royal Society 92; successfully defends Hutton at Royal Society 105

  Horticultural Society 215

  Hurworth 31

  Hutton, Catherine (CH’s ‘cousin’) 124, 205, 211, 223, 230, 231

  Hutton, Charles; appointed foreign secretary to Royal Society 95–6, 98, 100–2, 104–5, 106; appointed Professor of mathematics at the Royal Military Academy 48–51, 52–68, 82, 127–8, 130–2, 160–1, 172–3; arm injury 9, 17; attacks Banks posthumously in print 219–20; awarded the Copley Medal 92, 135; becomes part of Maskelyne’s mathematical/astronomical circle 76; believes he is related to Isaac Newton 124–5; birth and parentage 2–4; as book collector and reader 10, 124; building projects 128–30, 133; bust commissioned in gratitude and admiration for 223–5; character and description 4, 9, 12, 22–3, 27–8, 45, 62, 98, 106, 127–8, 211–12; consolidates his position 171; continues to promote mathematics and produce new editions of his works 212–13; contributes mathematical puzzles to magazines 35–7; controversies and insults 191–4, 198; death of father and re-marriage of mother 5; death of his wife Margaret 206–7; death and obituaries 227–8, 230; deaths of Camilla and Charlotte 156–60; decides to auction his book collections 202–6; disliked by Banks 97–9, 100–2, 104–5, 110–13, 216–18; education 4, 9–10, 12–14, 23, 41; elected Fellow of several institutions 83, 118; exchanges manuscripts with friends 124; experiments with ballistics 88–92, 135–41, 195; family mishaps and tragedies 198–202, 206–8; family resentments concerning his will 233–4; fills his time doing extra work and networking 72, 81, 83; freshly calculates logarithm tables 78–80; as gifted schoolmaster 19–23; influence on making mathematics acceptable 169–70, 237–43; influence on military training 132, 237–8, 243; involved in gravitational calculations 83–8, 183–4, 222; leaves his wife and lives with Margaret Ord 70–1; leaves Newcastle for good 51; looks after his grandson 160; map constructions 43, 85–6; marriage of his daughter Camilla 146–7; marriage to Isabella 24; marries Margaret Ord 125–6; mathematical tables 76–80, 82, 83, 117, 141, 149, 181, 185–6; middle-class status 29–34; mystery of whereabouts of his papers 234–6; opens a Writing and Mathematical School 24, 26–7, 31–3; peaceful, friend-filled final years 210–11, 213–15, 226–7, 228; persuaded not to re-visit Newcastle 214–15; piety and religious beliefs 11–12, 28–9; presented to the King 135; produces mathematical tables for Board of Longitude 76–8; promised Secretaryship of the Royal Society 92–3, 95, 111; promotion and consolidation of his life’s work 174–88; pseudonyms used by 35, 47; re-elected to Royal Society Council 226; receives honorary doctorate from Edinburgh University 96; reduced tension with Banks 115–17, 120; reputation, influence and memories of 230, 234, 237–43; retires with a pension 172–3; as revered scientist 1, 148–9; sent down the pit 1, 7, 9, 14, 16–18; submits first paper in thirty-seven years to Transactions 222–3; takes on editorship of The Ladies’ Diary 81–2, 118–19, 121; works on calculations for the Nautical Almanac 75–6; writing career 38–48, 132–5, 150–6, 160–70, 212–13;

  works

  Abridgement (of the Philosophical Transactions) (1806/1809) 166–9, 176, 184; Compendious Measurer (1786) 132–4, 160, 161, 180, 242, 243; Course of Mathematics (1798) 160–2, 169, 171–2, 178, 180, 181–2, 195, 212, 242–3; Diarian Miscellany (1771–1775) 46–8; Diary Companion (1788–1806) 121–2; Dictionary (1795) 150–6, 162–3, 169, 178, 181, 184, 185, 187, 212, 213; Elements of Conic Sections (1787) 134–5, 150, 161, 243; Key (worked answers to his Guide) 134; Mathematical Tables 126, 178, 180, 187, 199; Miscellanea Mathematica (1775) 48, 77, 187; Principles of Bridges (1772) 45–6, 193; Recreations (Montucla’s) 163–6, 169, 181, 212, 242; The School-master’s Guide (1764) 38–40, 76, 160, 161, 175, 178, 180, 181, 242; Tracts (1812) 185–8; Tracts, Mathematical and Philosophical (1786) 122–4, 135; Treatise on Mensuration (1770) 41–6, 76, 160, 161, 178, 180, 181, 186

  Hutton, Charles Henry (CH’s grandson) 202

  Hutton, Charlotte Matilda (CH’s daughter) 71, 126, 146, 153, 156–7, 202

  Hutton, Eleanor (CH’s mother) 2, 3, 5, 23

  Hutton, Eleanor ‘Ellen’ (CH’s daughter) 28, 126, 147, 199, 208, 211, 231, 233

  Hutton, Henry (CH’s father) 2–5

  Hutton, Colonel Henry Francis 233

  Hutton, Henry ‘Harry’ (CH’s son) 71, 158, 211, 230, 233

  Hutton, Isabella (CH’s 1st wife) 24, 70–1, 125, 242

  Hutton, Isabella (CH’s daughter) 205; agrees to let Vignoles’ wife and children join him in London 231–2; birth 28; has soft spot for Vignoles 208–9, 231; as her father’s amanuensis and companion 199, 207, 211; lives with her father in London 71, 146; lives quietly in London after her father’s death 230–1; makes draft catalogue of her father’s books 204; mild flirtation with Jeaurat 118; plays the piano 173; receives income from father’s trust fund 234

  Hutton, James (CH’s ‘cousin’) 124

  Hutton, Margaret Ord (CH’s 2nd wife); death of 206–7; helps Hutton with logarithm tables 78–9; lives with Hutton and bears him a daughter 71; marries Hutton 125–6; reads and revises draft of Hutton’s work on ballistics 91, 92, 206; verses by 109, 110, 122, 206

  Hutton, Robert 213

  Huygens, Christiaan 23

  The Imperial Review 165

  Industrial Revolution 5

  Ingram, Alexander 180

  Institution of Civil Engineers 239

  Ivison, Jonathan 12–13, 17

  Ivory, James 218, 221

  James, Hugh 23, 37

  Jeaurat, Edme 118

  Jesmond 5, 13

  J
ohnson, Joseph 150, 153

  Johnson, Samuel, Dictionary 152

  Kelly, Patrick 217

  Kent, Prince Edward, Duke of 201

  Kinnebrook, David 155, 174

  Knight, Charles 177; Cyclopedia 241

  Lacroix, Sylvestre 197

  The Ladies’ Diary 34, 36–7, 41, 46–8, 50, 74, 79, 81–2, 118–19, 121, 148–9, 152, 174, 175, 177, 181, 214, 230, 240

  Lagrange, Louis 179

  Lalande, Jérôme 152, 153, 203

  Landen, John (mathematician) 50

  Landguard Fort, Felixstowe 139

  Landmann, Mr (Professor of Fortification) 66, 67

  Laplace, Pierre-Simon 197, 203, 222; Traité de mécanique céleste 196

  Lear, Charles Hutton (artist) 230

  Leiden University 152

  Leslie, Sir John 155, 174, 205

  Leybourn, Thomas 168, 200, 207, 208, 211, 218, 221, 224, 232, 239

  Linnean Society 215

  Literary Chronicle 230

  The Literary Journal 168

  Locke, John 60, 61

  Lombard, Jean-Louis 180

  London 11, 26; Bedford Row 173, 200, 202, 210, 211, 224, 224–5, 225, 227, 231, 237; Bloomsbury Square 166; Chapter Coffee House, Paternoster Row 118; Clement’s Inn 102, 125; Covent Garden Theatre 173; Cube House, Woolwich 129–30, 146, 160; Globe Tavern (Fleet Street) 116; Inns of Court 72, 200; St Dunstan in the West, Fleet Street 125; St Luke, Charlton churchyard 148, 202, 228, 237; Severndroog Castle 114, 129; Shooter’s Hill 114, 129, 133; Slaughter’s coffee house 1, 93; Soho Square 102; Somerset House (Strand) 94, 116; Woolwich (the ‘Warren’) 52–5, 68–9, 114, 117, 118, 127, 128–9, 237

  London Bridge 212, 228

  London Mathematical Society 239

  London University 177

  Long Benton 5, 8, 71, 213

  longitude problem 74

  Louis XVI 142

  Lovelace, Ada 181

  Magnus effect 138

  Mahon, Charles, 3rd Lord Stanhope 107

  Martinique 147, 157

  Martin’s Magazine 36

  Marx, Karl 243

  Maseres, Francis 108, 117, 119, 121; Scriptores Logarithmici 117

  Maskelyne, Nevil (Astronomer Royal) 118; books loaned to Nautical Almanac personnel 80; close friendship with Hutton 73, 76, 82, 104; connected with Schiehallion work 183; correspondence on Hutton’s Dictionary 152, 153; criticised for suspicions of the chronometer 74; death of 213; dispersal of his library 217; on examining board at Royal Military Academy 50, 73; lends money to Hutton 129, 130; library of 204, 205; as member of the Friday Club 120, 121; not re-elected to RS Council 104–5; proposes project on gravitational attraction of mountains 83–7; publications of 213; relationship with Banks 116–17, 216–17; speaks up at noisy Royal Society meeting 94, 109; supports election of Henry Clarke 102; wins Copley Medal 85

 

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