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11:0111:01, 27 May 2024 diff hist +332‎ Trigonometric substitution ‎ →‎Hyperbolic substitution: re-trying some edits after consulting with Nerd271 about the nature of their earlier objection; hopefully this edit is more acceptable, and any remaining issues can be resolved by edits rather than reversion

23:0723:07, 24 May 2024 diff hist +3,001‎ User talk:Nerd271 ‎ →‎Hyperbolic substitution: new section Tag: New topic
22:3422:34, 24 May 2024 diff hist 0‎ Catenary ‎ →‎Analysis: move "Tension relations" subsection below "Determining parameters", leaving the primary and alternative derivations adjacent to each other
22:3122:31, 24 May 2024 diff hist +2‎ Catenary ‎ move "Variational formulation" to be a sub-topic of "Analysis", rather than a top-level subsection
22:2822:28, 24 May 2024 diff hist +10‎ m Catenary ‎ →‎Tension relations: add a little extra vertical space between equations
22:2622:26, 24 May 2024 diff hist +114‎ Catenary ‎ →‎Tension relations: break up a multi-equation into multiple lines; reword the preamble
22:2322:23, 24 May 2024 diff hist +1,097‎ User talk:Engeer ‎ →‎An intuitive derivation for the Catenary: Reply Tag: Reply

20:4120:41, 21 May 2024 diff hist +362‎ Trigonometric substitution ‎ →‎Hyperbolic substitution: While somewhat a matter of taste, I think this rewording is easier for a novice to follow. Tag: Reverted
20:2520:25, 21 May 2024 diff hist +37‎ Catenary ‎ →‎Variational formulation: Missed these in the 21:11, 17 May 2024‎ edits (changing λg to w), because of the shift in notation (in this section ρ was used instead of λ to indicate mass density, to avoid confusion with the use of λ as a Lagrange multiplier).
20:1920:19, 21 May 2024 diff hist +4‎ m Catenary ‎ →‎Catenary bridges: Change two references to mass to read "weight". While, under the uniform gravitational field assumption, "mass" is equally accurate, the important thing about catenary analysis is force (weight) not inertia (mass).
20:1720:17, 21 May 2024 diff hist 0‎ m Catenary ‎ →‎Derivation of equations for the curve: make xy and xs mentions in the prose match the order in the subsequent equations

21:2021:20, 17 May 2024 diff hist −230‎ Catenary ‎ →‎Tension relations: Remove the φ-angle relationships as "uninteresting" (trivially derived from vector decomposition, and not usually helpful to applications)
21:1121:11, 17 May 2024 diff hist −303‎ Catenary ‎ (passim): Replace λg (lineic mass density times gravitational field strength) by w (lineic weight density) throughout, as the catenary depends only on the force (weight) acting on the cable, not the inertial mass independent of g.

21:4721:47, 15 May 2024 diff hist +35‎ Catenary ‎ →‎Tension relations: add technical comment about y0=a assumption
21:4421:44, 15 May 2024 diff hist +23‎ Catenary ‎ (derivation and tension equations): Improve presentation; in particular make explicit the boundary conditions being solved for, and use more natural (x_0,y_0) notation
21:2721:27, 15 May 2024 diff hist −1,633‎ Catenary ‎ Reverting: 1) subsequent edits clusily clobbered my carefully considered edits; 2) the new "second alternate derivation" is a long-winded rehash (*not* a "simpler version") of the primary derivation. If the primary derivation is considered deficient, let's discuss in the Talk section. Tag: Manual revert

20:5320:53, 14 May 2024 diff hist +948‎ Catenary ‎ Add section "Tension relations", showing derivations of equations to calculate the tension T
20:4720:47, 14 May 2024 diff hist +806‎ Catenary ‎ →‎Derivation of equations for the curve: Add back derivation of y=g(s) relation
20:3420:34, 14 May 2024 diff hist −29‎ Catenary ‎ →‎Derivation of equations for the curve: Improve wording of intro
20:3120:31, 14 May 2024 diff hist −252‎ Catenary ‎ →‎Model of chains and arches: The text (which I'm deleting) does not make sense. Part of this is due to an incomplete revert of the 26 Feb 2024 edits, but mainly the (true) conclusion does not directly follow from the offered premises. I will add a "Tension" section which does this right.

21:1821:18, 23 April 2024 diff hist −15‎ m Catenary ‎ Remove excess white space. In particular, de-dent <math> blocks so they are not highlighted like a quotation block.

22:0022:00, 17 April 2024 diff hist +12‎ m Catenary ‎ Meh... "corrected" (no-op) wrong reference. Got it this time.
21:4521:45, 17 April 2024 diff hist 0‎ m Catenary ‎ Corrected spelling for "arc length" fragment reference
21:4121:41, 17 April 2024 diff hist +17‎ m Catenary ‎ Added anchor for Maurer reference
21:3921:39, 17 April 2024 diff hist +1‎ Catenary ‎ I found the previous version of the derivation of the catenary equation to be unsatisfying. It made a detour into deriving y = g(s) and mentioning its relation to the tension T; while these are of potential interest in other contexts, they are a distraction from deriving of y = f(x). Furthermore, the derivation concludes in a hand-wavy "these results can be used to eliminate s" step to get to the desired result. I think my changes result in a cleaner and clearer presentation.
21:3321:33, 17 April 2024 diff hist −253‎ Catenary ‎ →‎Derivation of equations for the curve Tag: references removed