O měření obsahů planimetrem a koloběžkou
Učitel matematiky, Tome 24 (2016) no. 2, pp. 65-79
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
The paper describes the Prytz hatchet planimeter - a tool for measuring areas of irregular shape. We explain both the usage and the mathematical background of the planimeter. At the end of the paper we suggest (and test) some possibilities how to replace the planimeter by things of daily use, such as scooter.
The paper describes the Prytz hatchet planimeter - a tool for measuring areas of irregular shape. We explain both the usage and the mathematical background of the planimeter. At the end of the paper we suggest (and test) some possibilities how to replace the planimeter by things of daily use, such as scooter.
Classification :
51Mxx, 51N25
@article{UM_2016_24_2_a0,
author = {Ma\v{r}{\'\i}k, Robert},
title = {O m\v{e}\v{r}en{\'\i} obsah\r{u} planimetrem a kolob\v{e}\v{z}kou},
journal = {U\v{c}itel matematiky},
pages = {65--79},
year = {2016},
volume = {24},
number = {2},
language = {cs},
url = {http://geodesic.mathdoc.fr/item/UM_2016_24_2_a0/}
}
Mařík, Robert. O měření obsahů planimetrem a koloběžkou. Učitel matematiky, Tome 24 (2016) no. 2, pp. 65-79. http://geodesic.mathdoc.fr/item/UM_2016_24_2_a0/
[1] Crathorne, A. R.: The Prytz Planimeter. (1908). The American Mathematical Monthly, 15(3), 55-57. | DOI | MR
[2] Foote R. L., Sandifer E.: Area Without Integration: Make Your Own Planimeter. (2007). In Hands-On History: A Resource for Teaching Mathematics, MAA Notes Series 72, 71-88. Dostupné z http://persweb.wabash.edu/facstaff/footer/Papers/Foote.Sandifer.Reprint.pdf (21.10.2015).
[3] Mařík R.: Za tajemstvím planimetru. (2015). Dostupné z http://user.mendelu.cz/marik/mechmat/za_tajemstvim_planimetru/ a bit.ly/1RfPYFY (21.10.2015).