That would predate the 20th century then. Let me see if I can find such uses by him to confirm what you believe.
-
-
Replying to @RadishHarmers
Gibbs & Wilson uses r theta phi without comment so 1901 is an upper limit
1 reply 0 retweets 5 likes -
Replying to @C_Trombley1
Confirmed. See page 5 of the 1929 edition at https://archive.org/details/117714283/page/4/mode/2up …: "If r, φ, θ be polar coordinates in space…".
2 replies 0 retweets 4 likes -
Replying to @RadishHarmers @C_Trombley1
And confirmed in the 1901 edition at https://www.google.com/books/edition/Vector_Analysis/R5IKAAAAYAAJ?gbpv=1&pg=PA5 ….
1 reply 0 retweets 3 likes -
Replying to @RadishHarmers @C_Trombley1
As for Hamilton, we can see r, θ and r, θ, φ used on page 39 of his "Lectures on Quaternions" published in 1853, athttps://www.google.com/books/edition/Lectures_on_Quaternions/TCwPAAAAIAAJ?gbpv=1&pg=PA39 …
1 reply 0 retweets 7 likes -
Replying to @RadishHarmers @C_Trombley1
Following a reference from there brings us to "A treatise on the geometrical representation of the square roots of negative quantities" (1828) by John Warren. Here we see θ used often for angles starting on page 103 (as well as φ starting on page 112). https://archive.org/details/treatiseongeomet00warrrich/page/102/mode/2up …
1 reply 0 retweets 15 likes -
Replying to @RadishHarmers @C_Trombley1
Note also that Hamilton quotes an 1840 letter from John T. Graves making use of r, θ polar coordinates.https://www.google.com/books/edition/Lectures_on_Quaternions/TCwPAAAAIAAJ?gbpv=1&pg=PA40 …
2 replies 0 retweets 4 likes -
Replying to @RadishHarmers @C_Trombley1
And in Lacroix's "Sur le calcul differentiel et integral" (Babbage et al's 1816 translation presumably using the same variables as the 1802 original), we see θ used frequently for angles from at least page 660 on.https://www.google.com/books/edition/An_Elementary_Treatise_on_the_Differenti/AJsBAAAAYAAJ?gbpv=1&pg=PA660 …
2 replies 0 retweets 4 likes -
Replying to @RadishHarmers @C_Trombley1
See pages 664 and 682 for illustrative examples as well.
2 replies 0 retweets 1 like -
Replying to @RadishHarmers @C_Trombley1
This is the content I’m following this account for.
1 reply 0 retweets 1 like
The jokes are fine I guess but really it’s the deep mathematical notation lore that keeps me coming back.
-
-
Replying to @macrocephalopod @C_Trombley1
I spend so much time noting that notation isn't the substance of math (as in all the never-endingly viral "order of operations" bullshit), but I do occasionally find myself curious about historical trivia like this.
0 replies 0 retweets 2 likesThanks. Twitter will use this to make your timeline better. UndoUndo
-
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.