# Beam 1.7.0 APK

1.7.0 / December 10, 2018
(3.8/5) (9)

## Description

Calculation of bending a steel beam. You can find a web version ofthis program: http://arquitectes.coac.net/mcj App Catalan language,and with steel profiles Europeans and Spaniards.

## App Information Beam

• App Name
Beam
• Package Name
nummolt.coac.biga
• Updated
December 10, 2018
• File Size
2.2M
• Requires Android
Android 4.0 and up
• Version
1.7.0
• Developer
nummolt
• Installs
500+
• Price
Free
• Category
Productivity
• Developer
Maurici Carbó C/ Sant Antoni Maria Claret, 324 Barcelona 08041 S.PAIN

Touch Pythagoras 1.1.5 APK
The Pythagorean Theorem Interactive: a^2 + b^2 = c^2App :change thelengths of the legs (dragging).change the length of the hypotenusewith two fingers.zoom (pinch zoom) and rotate the figure(dragging). There are 6 ways to view the Pythagorean theorem.- Unitsurfaces.- Two equivalent square containing the same surface.- Thesquare for each leg in the square of the hypotenuse (Euclid)- Pingi- Dudeney proof.- Da Vinci.- Bhaskara reasoning.Change theprecision of the lengths. (In the contextual menu)This applicationis also a small laboratory to investigate about the PythagoreanTheorem:For example, you can experiment easily, looking for theexact solutions of the Pythagorean Theorem:3² + 4² = 5² is not theonly exact solution:Below 21, there are 3 primitive triples:3² + 4²= 5²5² + 12² = 13²6² + 8² = 10² (Not a true primitive result:Multiple of 3,4,5)8² + 15² = 17² 9² + 12² = 15² (Not a trueprimitive result: Multiple of 3,4,5)12² + 16² = 20² (Not a trueprimitive result: Multiple of 3,4,5)Likewise it is also possible tofind the solutions below 31 (11 solutions in all: but only 5primitives)Or solutions below 101 (52 solutions in all: but only 16primitives)More primitive pythagorean triples:9² + 40² = 41²11² +60² = 61²12² + 35² = 37²13² + 84² = 85²15² + 112² = 113²16² + 63² =65²17² + 144² = 145²19² + 180² = 181²20² + 21² = 29² 20² + 99² =101²24² + 143² = 145²28² + 45² = 53²33² + 56² = 65²36² + 77² =85²39² + 80² = 89²44² + 117² = 125²48² + 55² = 73²51² + 140² =149²52² + 165² = 173²57² + 176² = 185²60² + 91² = 109²65² + 72² =97²85² + 132² = 157²88² + 105² = 137²95² + 168² = 193²104² + 153² =185²119² + 120² = 169²133² + 156² = 205²140² + 171² = 221²Moreabout this: Pythagorean triples:http://en.wikipedia.org/wiki/Pythagorean_triplesTouch MathApps:http://www.nummolt.comMathTools classification:http://mathforum.org/mathtools/tool/206418/M 4 TrianglesM 6 Allprevious and: Geometry in the plane, Pythagorean theoremM 7 Allprevious and: Quadrilateral propertiesGeometry All previous RightTriangles, Pythagorean theorem, TrigonometryAlgebraExponentsAlgebra II GeneralTrigonometryFor more information aboutPythagorean Theorem:Alexander Bogomolny: Cut the knot: #112 proofsof the Pythagorean Theorem:http://www.cut-the-knot.org/pythagoras/
Touch Fraction ℚ 1.4.1 APK
Interactive fraction. Fraction SenseAbout fractions, and theconstruction of the rational numbers: ℚ set.To play with proper andimproper fractions, positive and negative also.All fractions inorder from least to greatest. You can increase or decrease thefractions included in the app, increasing or decreasing the densityof lines in the lower graph framework. The accuracy of theapplication depends on the capabilities of the device.Theapplication provides two representations: a circle and a straightline whose has the slope of chosen fractionSpin the fraction: Youcan choose different fractions in order from low to high within thepossibilities included in the grid at the bottom formed by pairs ofintegers. Select equivalent fractions with the rationalrepresentation diagram (the lower grid). Change range of fractionsaffordable with a "pinch zoom" on the lower grid.In the verticalstrip of the grid graph goes from 0 to 1 you can see the number ofunits containing the selected improper fraction: Each unit is ablack square.In version 1.4.x has been added the primefactorization of the numerator and denominator, making it easier tovisualize equivalent fractions. The program can also be controlledfrom the part of the prime factors. At right there's the prime listof tokens to be used in the program.The circles dedicated to thenumerator and denominator circle, overlap: To simplify fractionsplace prime tokens in the common area:The multiplication of thecommon prime tokens is the Greatest Common Divisor (GCD)Primenumbers are the basic building blocks of numbers:This program usesthe Fundamental Theorem of Arithmetic to simplify fractions or tobuild proper and improper fractions.The app is useful to learnabout fractions, coordinate geometry, rational numbers, cartesianplane, slope, prime factorization and the equivalent classes ofpairs of integers.And from version 1.4.x:http://nummolt.blogspot.com/2015/12/touch-fraction-14x.htmlTouchFraction ℚ is a complete tool to understand positive fractions,negative fractions, positive and negative numerators, positive andnegative denominators, equivalent fractions, and invertedfraction.﻿And for to teach about GCD (Greatest Common Divisor) toreduce fractions. Nummolt constructiontoys:http://www.nummolt.comNummolt apps: "Not Montessori per se,but Montessori-like"MathTools reference:Math 1, 2, 3, 4, 5FractionsMath 6 All previous and Rect coordinate geometryMath 7 Allprevious and Rational numbers, Linear relationships, Ratio andproportionGeometry Points and lines, Cartesian plane, SlopeAlgebraWhole, RationalTouch Fraction Q contains the foundations offractions in Math Garden development. (same developer)
Touch Integers ℤ (+ - × ÷) 1.0.8 APK
The fundamental theorem of arithmetic in practice:Prime numbers arethe basic building blocks of numbers, Cryptographic protocols arebased on Prime NumbersTHE APP:At left: two abacus (two numbersstacked). At right two circles with the prime factors. (two circleswith prime numbers stacked)At right edge: all the prime numbersavailable to the app. To create a number: Tap on the cells at left.The app shows the numberTo add: Drag the tokens from one abacus tothe otherTo subtract: Tap the sign key and drag from one abacus tothe otherTo multiply: (the numbers must be previously created withthe earlier previous steps)Drag from one prime circle to the otherprime circleTo Divide a number:Drag the prime numbers outside theprime circle:Release prime factors to the other prime circle(integer division and multiplication) Release prime factors betweenthe prime circles (integer division)Release prime factors in thelist of the right edge: (integer division and erase the primefactor)Scroll and pick a prime number from the list of the rightedge:And release it in the free zone, or in a prime circle(multiplication) With this you can add, subtract, multiply anddivide (integer division) of any integer of any sign. (Practically,the app is operative up to 9 digits) (The biggest prime numberavailable in this program is 19.874.419) In General menu there are3 options:Refresh all (erases all the tokens)Refresh upper chart(Erases all the upper tokens)Refresh lower chart (Erases all thelower tokens)And info:The upper current available prime number.(Theapp calculates new prime numbers each 20 seconds while the app isnot used)Based in the fundamental theorem of arithmetic, alsocalled the unique factorization theorem or theunique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of primenumbers, and that this product is unique, up to the order of thefactorsMore in the Nummolt blog: and Acknowledgements:http://nummolt.blogspot.com/2015/11/touch-integers.htmlIDEASTO¨PLAY WITH: "TOUCH INTEGERS":YouTubePlaylist:https://www.youtube.com/playlist?list=PLo4AMY8jDHYZ7SuX3UZpLn_m2v1709no4Open-endedexplorations: Mersenne, Woodall, Wagstaff prime generationDEVELOPERNOTES:Is easy add and subtract graphically. One can regroup thetokens of each order, regroup, carry or borrow tokens, and you canobtain the resultNot so easy to practice multiplication or divisionin this visual and interactive way:Look inside of thenumbers:Inside the numbers there are The primefactorsMultiplication of two integers: regroup the prime componentsof the two numbersTo divide a integer, you must separate the primecomponents of a composite numberThe program only works withintegers. adds, subtract, multiplies and divides (but only exactdivision)/ / T E C H N I C A L N O T E / /The app starts with agreatest prime number stored equal to 951.697When nobody fiddles onthe screen, the app get more prime numbers each 20 secondsUntil theapp gets the prime number 19.874.419Here stops the search, becauseis the store limit of many devicesIf you work with numbers greatestthan 19.000.000 the results may be not be complete (then, the appis not able to show the prime factorization) / / E N D N O T E //ACKNOWLEDGEMENTS:Without them this program would not have beenpossible:Jacobo Bulaevsky (Arcytech)Brian Sutherland ( )AgustínRayo (SciAm)Ulrich Kortenkamp (“Place Value Chart'.)Christian Urff('Rechentablett') Wendy Petti (mathcats: 20 years of support)JeffLeMieux (Builder, teacher and software developer)Joan Jareño (From:CREAMAT team) Author of Calaix +ie.Next step:If you have used thisprogram, you have basis enough to play with "Touch fractions ℚ"(Same developer)Nummolt apps: "Mathematics is the toughest toy.However mischievous a child may be, will never be able to breakthem".Maurici Carbó Jordiof: nummolt.com