Fun Math Problem 'Cussed Ladders'

09212017, 12:20 AM
Post: #21




More Fun with Ladders  
09212017, 01:25 AM
Post: #22




RE: Fun Math Problem 'Cussed Ladders'
(09212017 12:20 AM)Mike (Stgt) Wrote: If you like problems with ladders, here is another one. h = '1/2*(√26+√(252*√262))+1/2' = 4.83850116068 m (to be checked) 

09212017, 01:55 AM
(This post was last modified: 09232017 12:32 PM by SlideRule.)
Post: #23




RE: Fun Math Problem 'Cussed Ladders'
(09212017 12:20 AM)Mike (Stgt) Wrote: If you like problems with ladders, here is another one. "The 'ladder and box' problem is relatively new; it first appeared in A. Cyril Pearson’s 1907 20th Century Standard Puzzle Book (London). But its' mathematical underpinnings have been traced back to Nicomedes (~200 BCE), as well as to Newton (1720) and Thomas Simpson (1745). The problem ... is just one in a group of 'ladder' problems" A solution is presented at Shortest Ladder Problem References: Pearson, A. C., 1907, 20th Century Standard Puzzle Book. London: George Routledge & Sons, LTD., New York: E.P. DuMon. Simpson, T., 1745, A treatise of algebra, reproduction from Cambridge University Library, London: John Nourse, p. 250. Wells, D., 1992, The Penguin Book of Curious and Interesting Puzzles, Dover, p. 130131, problems 399 and 400. BEST! SlideRule 

09212017, 02:18 AM
Post: #24




RE: Fun Math Problem 'Cussed Ladders'
(09212017 01:55 AM)SlideRule Wrote: A solution is presented at Shortest Ladder Problem I just submitted an easily obtainable equation to WA and chose the second result. I would’t solve the quartic equation by hand, even if I knew how to do it. http://m.wolframalpha.com/input/?i=solve...5D%2Cfor+h Gerson. 

09212017, 10:19 AM
Post: #25




RE: Fun Math Problem 'Cussed Ladders'
(09212017 01:25 AM)Gerson W. Barbosa Wrote: h = '1/2*(√26+√(252*√262))+1/2' = 4.83850116068� m (to be checked) The task was 'Use your calculator to find the maximum height to the nearest .01 meter.' In practice I do not have a dog's chance to check your answer's correctness in "subatomic dimensions". My homework is solvable, your request to check your result is not. Lazy as I am I used an HP17B2 (under Emu42) to solve the equation here almost ready to enter. Well, the numerical value is nice but not enough. So I used the same equation Code: SQ(x1)+SQ(INV(x)+1)SQ(5) Ciao.....Mike 

09232017, 08:33 AM
Post: #26




RE: Fun Math Problem 'Cussed Ladders'
(09212017 01:55 AM)SlideRule Wrote: "The 'ladder and box' problem is relatively new; Thanks for sharing! Wikis are great, Contribute :) 

09232017, 09:12 AM
Post: #27




RE: Fun Math Problem 'Cussed Ladders'
Thank You to pier4r
You explanation is very clear Gamo 

09262017, 12:36 AM
Post: #28




RE: Fun Math Problem 'Cussed Ladders'
(09212017 01:55 AM)SlideRule Wrote: A solution is presented at Shortest Ladder Problem One question about the a. m. solution solving for the shortes ladder to a given box, C = f(A, B), length of ladder C as function of box width A and height B. With my poor english I do not grasp the last sentence "Now you may check this by making a length C and trying it with your box!" How may I set (making?) C when the solution shown computes C? Ciao.....Mike 

09262017, 12:46 AM
Post: #29




RE: Fun Math Problem 'Cussed Ladders'
(09262017 12:36 AM)Mike (Stgt) Wrote:(09212017 01:55 AM)SlideRule Wrote: A solution is presented at Shortest Ladder ProblemOne question ... How may I set (making?) C when the solution shown computes C? Consider C as the independent variable and then compute the size of the corresponding box? Since I didn't create the referenced solution, I interpret the quoted extract as just such a 'reverse' engineering' proposal. BEST! SlideRule 

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