Journal articles: 'Torricelli'

1

Robinson, Philip J. "Evangelista Torricelli." Mathematical Gazette 78, no. 481 (1994): 37. http://dx.doi.org/10.2307/3619429.

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2

ORMAN, BRYAN A. "Torricelli Revisited." Teaching Mathematics and its Applications 12, no. 3 (1993): 124–29. http://dx.doi.org/10.1093/teamat/12.3.124.

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3

Adeeyo, Opeyemi Adewale, Samuel Sunday Adefila, and Augustine Omoniyi Ayeni. "Dynamics of Steady-State Gravity-Driven Inviscid Flow in an Open System." International Journal of Innovative Research and Scientific Studies 6, no. 1 (2022): 80–88. http://dx.doi.org/10.53894/ijirss.v6i1.1101.

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Various factors can be responsible for the flow of incompressible fluid under gravity. Torricelli's theorem gives the relationship between the efflux velocity of an incompressible, gravity-driven flow from an orifice and the height of liquid above it. The concept of the original derivation of Torricelli’s theorem is limited in application because of certain inherent assumptions in the method of derivation. An alternate method of derivation is the use of Bernoulli’s principle. However, its result tends towards Torricelli’s flow only with some assumptions. In this study, an inherent assumption was incorporated into the conventional method of derivation to obtain an amended Torricelli’s equation. This study also considers a more general approach of derivation with Bernoulli’s principle, which tends to eliminate some of the limitations. The method involves the theoretical construction of gravity-driven flow from the bottom of a reservoir that is opened to atmospheric pressure. Bernoulli’s equation, with the continuity equation, is applied to gravity-driven open flow. The derived equations are used to analyze the prerequisite conditions for vertical flow in an open system and the variables that affect the flow rate. It is assumed that the flow is steady, inviscid, and has one inlet port and one exit port. Findings show that the surface area ratio of discharge to upstream, which was neglected in the convectional Torricelli velocity, can influence the velocity significantly. The study shows that a high surface area ratio can be used to augment the velocity of established flow for a decreased flow height.

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4

Mazauric, Simone. "De Torricelli à Pascal." Philosophia Scientae, no. 14-2 (October 1, 2010): 1–44. http://dx.doi.org/10.4000/philosophiascientiae.172.

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5

Rougier, Louis. "De Torricelli à Pascal." Philosophia Scientae, no. 14-2 (October 1, 2010): 45–50. http://dx.doi.org/10.4000/philosophiascientiae.174.

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6

Hager, Willi H. "Diskussionsbeitrag: Torricelli hat Recht." WASSERWIRTSCHAFT 111, no. 7-8 (2021): 74. http://dx.doi.org/10.1007/s35147-021-0869-5.

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7

Clanet, C. "Clepsydrae, from Galilei to Torricelli." Physics of Fluids 12, no. 11 (2000): 2743. http://dx.doi.org/10.1063/1.1310622.

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8

Verriest, Erik I. "Variations on Fermat-Steiner-Torricelli." IFAC-PapersOnLine 55, no. 30 (2022): 218–23. http://dx.doi.org/10.1016/j.ifacol.2022.11.055.

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9

Epple, Philipp, Michael Steppert, Luis Wunder, and Michael Steber. "Verification of Torricelli’s Efflux Equation with the Analytical Momentum Equation and with Numerical CFD Computations." Applied Mechanics and Materials 871 (October 2017): 220–29. http://dx.doi.org/10.4028/www.scientific.net/amm.871.220.

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The efflux velocity equation from Torricelli is well known in fluid mechanics. It can be derived analytically applying Bernoulli’s equation. Bernoulli’s equation is obtained integrating the momentum equation on a stream line. For verification purposes the efflux velocity for a large tank or vessel was also computed analytically applying the momentum equation, delivering, however, a different result as the Torricelli equation. In order to validate these theoretical results the vertical and the horizontal efflux velocity case was simulated with computational fluid dynamics CFD. Furthermore, simple experiments for the horizontal and vertical efflux equation were performed.

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10

BRAICA, PETRU, MIRCEA FARCAS, and DALY MARCIUC. "The locus of generalized Toricelli-Fermat points." Creative Mathematics and Informatics 24, no. 2 (2015): 125–29. http://dx.doi.org/10.37193/cmi.2015.02.16.

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11

Eriksson, Folke. "The Fermat-Torricelli Problem Once More." Mathematical Gazette 81, no. 490 (1997): 37. http://dx.doi.org/10.2307/3618766.

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12

Ha, Nguyen Minh. "86.52 Extending the Fermat-Torricelli Problem." Mathematical Gazette 86, no. 506 (2002): 316. http://dx.doi.org/10.2307/3621875.

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13

Wieland, Jörg, Leon Jänicke, and Jürgen Jensen. "Diskussionsbeitrag: Warum Torricelli doch Recht hat!" WASSERWIRTSCHAFT 111, no. 7-8 (2021): 67–73. http://dx.doi.org/10.1007/s35147-021-0870-z.

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14

Bistafa, Sylvio R. "A lei de Torricelli v=√2gh." Revista Brasileira de História da Ciência 7, no. 1 (2021): 110–19. http://dx.doi.org/10.53727/rbhc.v7i1.234.

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Apresenta-se uma tradução comentada para o português do De Motu Aquarum (1644), em que Evangelista Torricelli apresenta os desenvolvimentos que ficaram consolidados na sua famosa lei v=√2gh que permite determinar a velocidade de efluxo v de um jato de líquido submetido à gravidade g, jorrando de um pequeno orifício do recipiente, para o qual a distância vertical até a superfície livre da água no recipiente é h.

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15

Mukundan, T. R. "Generalized Fermat–Torricelli Problem: An Algorithm." Mathematics Magazine 91, no. 4 (2018): 288–93. http://dx.doi.org/10.1080/0025570x.2018.1488504.

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16

Chen, Zhi-guo. "The Fermat-Torricelli problem on surfaces." Applied Mathematics-A Journal of Chinese Universities 31, no. 3 (2016): 362–66. http://dx.doi.org/10.1007/s11766-016-2715-6.

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17

De Villiers, Michael. "From the Fermat points to the De Villiers3 points of a triangle." Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie 29, no. 3 (2010): 119–29. http://dx.doi.org/10.4102/satnt.v29i3.16.

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The article starts with a problem of ﬁnding a point that minimizes the sum of the distances to the vertices of an acute-angled triangle, a problem originally posed by Fermat in the 1600’s, and apparently ﬁrst solved by the Italian mathematician and scientist Evangelista Torricelli. This point of optimization is therefore usually called the inner Fermat or Fermat-Torricelli point of a triangle. The transformation proof presented in the article was more recently invented in 1929 by the German mathematician J. Hoffman. After reviewing the centroid and medians of a triangle, these are generalized to Ceva’s theorem, which is then used to prove the following generalization of the Fermat-Torricelli point from [3]: “If triangles DBA, ECB and FAC are constructed outwardly (or inwardly) on the sides of any ∆ABC so that ∠DAB =∠CAF , ∠ DBA = ∠ CBE and ∠ ECB = ∠ ACF then DC, EA and FB are concurrent.”However, this generalization is not new, and the earliest proof the author could trace is from 1936 by W. Hoffer in [1], though the presented proof is distinctly different. Of practical relevance is the fact that this Fermat-Torricelli generalization can be used to solve a “weighted” airport problem, for example, when the populations in the three cities are of different size. The author was also contacted via e-mail in July 2008 by Stephen Doro from the College of Physicians and Surgeons, Columbia University, USA, who was considering its possible application in the branching of larger arteries and veins in the human body into smaller and smaller ones. On the basis of an often-observed (but not generally true) duality between circumcentres and in centres, it was conjectured in 1996 [see 4] that the following might be true from a similar result for circumcentres (Kosnita’s theorem), namely: The lines joining the vertices A, B, and C of a given triangle ABC with the incentres of the triangles BCO, CAO, and ABO (O is the incentre of ∆ABC), respectively, are concurrent (in what is now called the inner De Villiers point). Investigation on the dynamic geometry program Sketchpad quickly conﬁ rmed that the conjecture was indeed true. (For an interactive sketch online, see [7]). Using the aforementioned generalization of the Fermat-Torricelli point, it was now also very easy to prove this result. The outer De Villiers point is similarly obtained when the excircles are constructed for a given triangle ABC, in which case the lines joining the vertices A, B, and C of a given triangle ABC with the incentres of the triangles BCI1, CAI2, and ABI3 (Ii are the excentres of ∆ABC), are concurrent. The proof follows similarly from the Fermat-Torricelli generalization.

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18

Zachos, Anastasios N. "An evolutionary design of weighted minimum networks for four points in the three-dimensional Euclidean space." Analysis 41, no. 2 (2021): 79–112. http://dx.doi.org/10.1515/anly-2020-0042.

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Abstract We find the equations of the two interior nodes (weighted Fermat–Torricelli points) with respect to the weighted Steiner problem for four points determining a tetrahedron in R 3 \mathbb{R}^{3} . Furthermore, by applying the solution with respect to the weighted Steiner problem for a boundary tetrahedron, we calculate the twist angle between the two weighted Steiner planes formed by one edge and the line defined by the two weighted Fermat–Torricelli points and a non-neighboring edge and the line defined by the two weighted Fermat–Torricelli points. By applying the plasticity principle of quadrilaterals starting from a weighted Fermat–Torricelli tree for a boundary triangle (monad) in the sense of Leibniz, established in [A. N. Zachos, A plasticity principle of convex quadrilaterals on a convex surface of bounded specific curvature, Acta Appl. Math. 129 (2014), 81–134], we develop an evolutionary scheme of a weighted network for a boundary tetrahedron in R 3 \mathbb{R}^{3} . By introducing the inverse weighted Steiner network with two interior nodes built by two different quantities of the subconscious (remaining weights) for boundary tetrahedra, we describe the evolution of a weighted network with two nodes that have inherited a subconscious. The cancellation of the dynamic plasticity of these weighted networks may be applied to the creation of evolutionary scenarios, in order to prevent the development of a quadrilateral or tetrahedral virus (a monad that has got a subconscious) and the cancerogenesis of quadrilateral cells. We continue by giving the plasticity equations for a generalized weighted minimum network with two nodes that have got a subconscious whose vertices are replaced by Euclidean spheres. This evolutionary approach may be applied to the determination of the bond strengths of molecular structures between atoms in the sense of Pauling. We obtain the analytical solutions of the weighted Fermat–Torricelli problem for the case of pairs of equal weights or one pair of equal weights. We consider as a DNA-like chain a sequence of tetrahedra whose vertices possess some symmetrical weights. By calculating the twist angles of each sequence and by applying the weighted Fermat–Torricelli tree structures with symmetrical weights or weighted Steiner tree structures, we may approximate the curve axis of a DNA-like tree chain. Finally, we construct a minimum tree, which is not a minimal Steiner tree for some boundary symmetric tetrahedra in R 3 \mathbb{R}^{3} , which has two interior nodes with equal weights having the property that the common perpendicular of some two opposite edges passes through their midpoints. We prove that the length of this minimum tree may have length less than the length of the full Steiner tree for the same boundary symmetric tetrahedra, under some angular conditions.

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19

BARONCELLI, GIOVANNA. "INTORNO ALL'INVENZIONE DELLA SPIRALE GEOMETRICA. UNA LETTERA INEDITA DI TORRICELLI A MICHELANGELO RICCI." Nuncius 8, no. 2 (1993): 14–606. http://dx.doi.org/10.1163/182539183x00721.

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20

Rougier, Louis. "– Chapitre II – L’hypothèse de Torricelli et l’Expérience." Philosophia Scientae, no. 14-2 (October 1, 2010): 63–68. http://dx.doi.org/10.4000/philosophiascientiae.178.

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21

Rougier, Louis. "– Chapitre III – Précurseurs et émules de Torricelli." Philosophia Scientae, no. 14-2 (October 1, 2010): 69–79. http://dx.doi.org/10.4000/philosophiascientiae.179.

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22

Barbara, Roy. "The Fermat-Torricelli Points of n Lines." Mathematical Gazette 84, no. 499 (2000): 24. http://dx.doi.org/10.2307/3621470.

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23

Sureka, Binit, Kalpana Bansal, and Ankur Arora. "Torricelli-Bernoulli Sign in Gastrointestinal Stromal Tumor." American Journal of Roentgenology 205, no. 4 (2015): W468. http://dx.doi.org/10.2214/ajr.15.14926.

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24

Tan, T. V. "An Extension of the Fermat-Torricelli Problem." Journal of Optimization Theory and Applications 146, no. 3 (2010): 735–44. http://dx.doi.org/10.1007/s10957-010-9686-1.

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25

Kupitz, Yaakov S., and Horst Martini. "The Fermat-Torricelli point and isosceles tetrahedra." Journal of Geometry 49, no. 1-2 (1994): 150–62. http://dx.doi.org/10.1007/bf01228057.

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26

Osinuga, I. A., S. A. Ayinde, J. A. Oguntuase, and G. A. Adebayo. "On Fermat-Torricelli Problem in Frechet Spaces." Journal of Nepal Mathematical Society 3, no. 2 (2020): 16–26. http://dx.doi.org/10.3126/jnms.v3i2.33956.

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We study the Fermat-Torricelli problem (FTP) for Frechet space X, where X is considered as an inverse limit of projective system of Banach spaces. The FTP is defined by using fixed countable collection of continuous seminorms that defines the topology of X as gauges. For a finite set A in X consisting of n distinct and fixed points, the set of minimizers for the sum of distances from the points in A to a variable point is considered. In particular, for the case of collinear points in X, we prove the existence of the set of minimizers for FTP in X and for the case of non collinear points, existence and uniqueness of the set of minimizers are shown for reflexive space X as a result of strict convexity of the space.

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27

Abi-Khuzam, Faruk. "Geometry of the weighted Fermat–Torricelli problem." Journal of Geometry 106, no. 3 (2014): 443–53. http://dx.doi.org/10.1007/s00022-014-0256-9.

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28

West, John B. "Torricelli and the Ocean of Air: The First Measurement of Barometric Pressure." Physiology 28, no. 2 (2013): 66–73. http://dx.doi.org/10.1152/physiol.00053.2012.

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The recognition of barometric pressure was a critical step in the development of environmental physiology. In 1644, Evangelista Torricelli described the first mercury barometer in a remarkable letter that contained the phrase, “We live submerged at the bottom of an ocean of the element air, which by unquestioned experiments is known to have weight.” This extraordinary insight seems to have come right out of the blue. Less than 10 years before, the great Galileo had given an erroneous explanation for the related problem of pumping water from a deep well. Previously, Gasparo Berti had filled a very long lead vertical tube with water and showed that a vacuum formed at the top. However, Torricelli was the first to make a mercury barometer and understand that the mercury was supported by the pressure of the air. Aristotle stated that the air has weight, although this was controversial for some time. Galileo described a method of measuring the weight of the air in detail, but for reasons that are not clear his result was in error by a factor of about two. Torricelli surmised that the pressure of the air might be less on mountains, but the first demonstration of this was by Blaise Pascal. The first air pump was built by Otto von Guericke, and this influenced Robert Boyle to carry out his classical experiments of the physiological effects of reduced barometric pressure. These were turning points in the early history of high-altitude physiology.

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29

Rešić, Sead, Alma Šehanović, and Amila Osmić. "ISOSCELES TRIANGLES ON THE SIDES OF A TRIANGLE." Journal Human Research in Rehabilitation 9, no. 1 (2019): 123–30. http://dx.doi.org/10.21554/hrr.041915.

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Famous construction of Fermat-Toricelly point of a triangle leads to the question is there a similar way to construct other isogonic centers of a triangle in a similar way. For a purpose we remember that Fermat-Torricelli point of a triangle ΔABC is obtained by constructing equilateral triangles outwardly on the sides AB,BC and CA. If we denote thirth vertices of those triangles by C1 ,A1 and B1 respectively, then the lines AA1 ,BB1 and CC1 concurr at the Fermat-Torricelli point of a triangle ΔABC (Van Lamoen, 2003). In this work we present the condition for the concurrence, of the lines AA1 ,BB1 and C1 , where C1 ,A1 and B1 are the vertices of an isosceles triangles constructed on the sides AB,BC and CA (not necessarily outwordly) of a triangle ΔABC. The angles at this work are strictly positive directed so we recommend the reader to pay attention to this fact.

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30

Rougier, Louis. "– Chapitre I – L’Expérience de Torricelli et la Scolastique." Philosophia Scientae, no. 14-2 (October 1, 2010): 52–62. http://dx.doi.org/10.4000/philosophiascientiae.177.

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31

de Villiers, Michael D. "79.37 A Generalisation of the Fermat-Torricelli Point." Mathematical Gazette 79, no. 485 (1995): 374. http://dx.doi.org/10.2307/3618319.

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32

Fortman, B. J. "Torricelli-Bernoulli sign in an ulcerating gastric leiomyosarcoma." American Journal of Roentgenology 173, no. 1 (1999): 199–200. http://dx.doi.org/10.2214/ajr.173.1.10397126.

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33

Benko, David, and Dan Coroian. "A New Angle on the Fermat–Torricelli Point." College Mathematics Journal 49, no. 3 (2018): 195–99. http://dx.doi.org/10.1080/07468342.2018.1440865.

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34

Alexei Yu. Uteshev. "Analytical Solution for the Generalized Fermat–Torricelli Problem." American Mathematical Monthly 121, no. 4 (2014): 318. http://dx.doi.org/10.4169/amer.math.monthly.121.04.318.

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35

SOULIER-PERKINS, ADELINE, and MAXIME LE CESNE. "Revision of the New Guinean genus Zophiuma (Hemiptera, Lophopidae)." Zootaxa 4926, no. 4 (2021): 559–72. http://dx.doi.org/10.11646/zootaxa.4926.4.6.

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The lophopid genus Zophiuma Fennah, 1955 is revised with two new species described, Z. gitauae sp. nov. and Z. torricelli sp. nov. and Z. doreyensis (Distant, 1906) is placed in synonymy with Z. pupillata (Stål, 1863). A key to the species for the genus, distribution map and the male genitalia illustrations are provided.

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36

de Villiers, Michael. "83.06 A Further Generalisation of the Fermat-Torricelli Point." Mathematical Gazette 83, no. 496 (1999): 106. http://dx.doi.org/10.2307/3618694.

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37

Palacios-Vélez, Óscar Luis, Felipe J. A. Pedraza-Oropeza, and Bernardo Samuel Escobar-Villagran. "An algebraic approach to finding the Fermat–Torricelli point." International Journal of Mathematical Education in Science and Technology 46, no. 8 (2015): 1252–59. http://dx.doi.org/10.1080/0020739x.2015.1036947.

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38

Martini, H., K. J. Swanepoel, and G. Weiss. "The Fermat–Torricelli Problem in Normed Planes and Spaces." Journal of Optimization Theory and Applications 115, no. 2 (2002): 283–314. http://dx.doi.org/10.1023/a:1020884004689.

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39

Benítez, Carlos, Manuel Fernández, and María L. Soriano. "Location of the Fermat-Torricelli medians of three points." Transactions of the American Mathematical Society 354, no. 12 (2002): 5027–38. http://dx.doi.org/10.1090/s0002-9947-02-03113-6.

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40

Miniati, Mara, Albert Van Helden, Vincenzo Greco, and Giuseppe Molesini. "Seventeenth-century telescope optics of Torricelli, Divini, and Campani." Applied Optics 41, no. 4 (2002): 644. http://dx.doi.org/10.1364/ao.41.000644.

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41

Kurokawa, Shinsuke, Ai Morikawa, Taro Kubo, and Tatsuo Morita. "Torricelli-Bernoulli Sign in a Large Intestine Gastrointestinal Stromal Tumor." Internal Medicine 53, no. 21 (2014): 2547. http://dx.doi.org/10.2169/internalmedicine.53.2909.

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42

Malcherek, Andreas. "History of the Torricelli Principle and a New Outflow Theory." Journal of Hydraulic Engineering 142, no. 11 (2016): 02516004. http://dx.doi.org/10.1061/(asce)hy.1943-7900.0001232.

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43

Edvaldo de Oliveira Nunes, José, and Maurício Costa Goldfarb. "APLICAÇÕES DA INTEGRAL: UMA ABORDAGEM SOBRE A TROMBETA DE TORRICELLI." Revista Diálogos 2, no. 20 (2018): 91–109. http://dx.doi.org/10.13115/2236-1499v2n20p91.

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44

Mordukhovich, Boris, and Nguyen Mau Nam. "Applications of Variational Analysis to a Generalized Fermat-Torricelli Problem." Journal of Optimization Theory and Applications 148, no. 3 (2010): 431–54. http://dx.doi.org/10.1007/s10957-010-9761-7.

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45

Spirova, M. "On the Napoleon-Torricelli configuration in Affine Cayley-Klein planes." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 76, no. 1 (2006): 131–42. http://dx.doi.org/10.1007/bf02960861.

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46

Malcherek, Andreas. "Die irrtümliche Herleitung der Torricelli-Formel aus der Bernoulli-Gleichung." WASSERWIRTSCHAFT 106, no. 2-3 (2016): 75–80. http://dx.doi.org/10.1007/s35147-016-0005-0.

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47

Rahmawati, Dewi Rahmawati, and Desi Wulandari. "Pembelajaran dengan Media Berbasis Problem Base Learning pada Materi Tekanan dalam Mengembangkan Sikap Peserta Didik." VEKTOR: Jurnal Pendidikan IPA 2, no. 1 (2021): 1–15. http://dx.doi.org/10.35719/vektor.v2i1.14.

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Dalam pembelajaran IPA untuk memenuhi ketentuan dalam kurikulum 2013 bahwasanya pembelajaran dilakukan dengan mengajarkan materi pada peserta didik untuk mengembangkan kompetensi yaitu kompetensi sikap spiritual, sosial, pengetahuan dan keterampilan. Untuk melaksanakan pembelajaran tersebut pembelajaran yang diterapkan yaitu mengajarkan materi tekanan hidrostatis. Pembelajaran IPA pada materi Tekanan dengan submateri Tekanan Hidrostatis serta dalam penerapan sehari-harinya dilakukan dengan model Problem Base Learning. Model tersebut disajikan sebuah demonstrasi produk dari guru untuk mengamati percobaan yang didemonstrasikan. Submateri yang disampaikan juga terkait materi Hukum Torricelli dengan penerapannya dalam kehidupan sehari-hari. Pembelajaran dengan materi tersebut diintegrasikan dalam ranah afektif yaitu spiritual dan sosial serta keterpaduan antara cabang ilmu lainnya. Kajian spiritual yang diberikan disajika dalam mengaitkan atau mengitegrasikan dengan firman Allah SWT. QS. QS. Al-Ma’arij (70): 19-35 dan (QS. Asy-Syarh (94): 5-6). Dalam kajian sosial yaitu dapat dipadukan dengan kegiatan pemeliharaan kelestarian dan peduli lingkungan dalam firman Allah SWT. (QS An Nahl 16:10). Dalam memenuhi kompetensi dalam kurikulum 2013 pembelajaran, pemebelajaran dalam ranah pengetahuan yang bersifat keterpaduan IPA yaitu kajian fisika dengan biologi tentang siklus hidurologi dapat dikaji dan dilakukan pembelajaran dengan menjelaskan kandungan ayat dalam firman Allah SWT. QS. An Nur : 43. Dengan menyertakan firman Allah SWT. agar dapat diterapkan dalam kehidupan sehari-hari, baik dalam lingkungan keluarga maupun lingkungan sosial bermsyarakat. Kata kunci: Afektif, Hukum Torriceli, Kurikulum 2013, PBL (Problem Based Learning), Tekanan In science learning to meet the provisions in the 2013 curriculum, learning is carried out by teaching material to students to develop competencies, namely the competence of spiritual, social, knowledge and skills attitudes. To carry out this learning, the thing applied is to teach hydrostatic pressure material. Science learning on Pressure material with submaterial Hydrostatic Pressure and in its daily application is carried out with the Problem Base Learning model. The model presented a product demonstration of the teacher to observe the experiment being demonstrated. The sub-material presented is also related to Torricelli's Law material and its application in everyday life. Learning with this material is integrated in the affective realm, namely spiritual and social as well as integration between other branches of science. The spiritual studies given are presented in linking or integrating with the word of Allah SWT. QS. QS. Al-Ma'arij (70): 19-35 and (Surah Asy-Syarh (94): 5-6). In social studies, it can be combined with activities to maintain sustainability and care for the environment in the word of Allah SWT. (Surah An Nahl 16:10). In fulfilling the competencies in the 2013 learning curriculum, learning in the realm of knowledge that is integrated in science, namely the study of physics with biology about the hidurology cycle, can be studied and carried out by explaining the content of the verse in the word of Allah SWT. QS. An Nur: 43. By including the word of Allah SWT. so that it can be applied in everyday life, both in the family environment and in the social environment. Keywords: Affectiv, Curriculum 2013, Torriceli Law, PBL (Problem Based Learning), Pressure

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48

Gomez-Rojas, J., L. Camargo, E. Martinez, and M. Gasca. "Electronic rain meter for mobile sensor node using law of Torricelli." Journal of Physics: Conference Series 2139, no. 1 (2021): 012004. http://dx.doi.org/10.1088/1742-6596/2139/1/012004.

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Abstract Rain in a city can cause material damage and risk for the population, hence the importance of implementing prevention and mitigation measures. These measures must be taken based on the analysis of the data collected by networks of environmental sensors. The rainfall-meter is one of the instruments used to measure rain, these are designed to operate at a fixed point. Coverage of the entire area of a city requires the installation of several of these elements. This paper shows the development of an electronic rain gauge that can operate in motion applying the principles of fluid dynamics. Two stages are proposed for its elaboration. The first step is the design, construction and testing of the sensor and transducer for the rain gauge. In the second step, the rain gauge communication is implemented. For this, the internet of things technology is incorporated, and the network is designed to provide mobility. The main result is a prototype mobile electronic rain gauge with a measurement error of 8.5%. Besides, mathematical model for the sensor, algorithm for the transducer, and communications architecture are obtained. It can be concluded that, rainfall can be monitoring in a city with few sensitive units in motion.

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Suprinyak, Carlos Eduardo. "Torricelli, energia a vapor e o sentido tecnológico da Revolução Científica." Revista de Economia Política 29, no. 2 (2009): 302–18. http://dx.doi.org/10.1590/s0101-31572009000200008.

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Nam, Nguyen Mau, Nguyen Thai An, R. Blake Rector, and Jie Sun. "Nonsmooth Algorithms and Nesterov's Smoothing Technique for Generalized Fermat--Torricelli Problems." SIAM Journal on Optimization 24, no. 4 (2014): 1815–39. http://dx.doi.org/10.1137/130945442.

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Journal articles on the topic 'Torricelli'

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