solid geometry formulas pdf

2. This line on a sphere is an arc and is called the great circle. Opposite faces, as well as opposite edges, are equal. Given that spheres radius, r = 3 cm Analytical geometry is popularly known as coordinate geometry is a branch of geometry where the position of any given point on a plane is defined with the help of an ordered pair of numbers, or coordinates using the rectangular Cartesian coordinate system. These help us recognize the angle-side relationships in triangles. endstream endobj 57 0 obj<> endobj 58 0 obj<>/Encoding<>>>>> endobj 59 0 obj<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI]/ExtGState<>>>/Type/Page>> endobj 60 0 obj<> endobj 61 0 obj<> endobj 62 0 obj<> endobj 63 0 obj<> endobj 64 0 obj<> endobj 65 0 obj<>stream PDF Plane Figure Geometry Formulas - roguecc.edu <>/Font<>/ExtGState<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> Solution: In 3-dimensional geometry, if a straight line makes angles , and with the x-axis, y-axis, and z-axis respectively then cos, cos, cos are called the direction cosines of a line. <> A few of Euclid's axioms in geometry that are universally accepted are: Spherical geometry and hyperbolic geometry are the two non-Euclidean geometries. 20+ Geometry Books for Free! [PDF] - InfoBooks.org The three types of geometry are Euclidean, Hyperbolic, and Elliptical Geometry. The 5th Euclidean postulate on parallel lines is not validated by the hyperbolic geometry. Great learning in high school using simple cues. You can get the Geometry Formula for Classes 12, 11, 10, 9, 8 from our page. 0000005011 00000 n are also called solids. some solid examples and attributes of solid forms. Plane and solid geometry formulas pdf. Prism Perimeter is the distance around the plane shapes, the area is the region occupied by the shape, volume is the amount of region occupied by a solid, and the surface area of a solid is the sum of the areas of its faces. surface. Vector equation of the line passing through a point with the position vector \(\vec a\) and parallel to vector \(\vec b\) is \(\vec r = \vec a+ \lambda \vec b\), Cartesian equation of the line passing through the point (\(x_1, y_1, z_1\)) and direction cosines l, m, n is \(\dfrac{x -x_1}{l} =\dfrac{y -y_1}{m}= \dfrac{z -z_1}{n}\), Vector equation of the line passing through two points with the position vectors \(\vec a\) and \(\vec b\) is \(\vec r = \vec a+ \lambda(\vec b -\vec a)\), Cartesian equation of the line passing through the points (\(x_1, y_1, z_1\)) and (\(x_2, y_2, z_2\)) is \(\dfrac{x -x_1}{x_2 -x_1} =\dfrac{y -y_1}{y_2 -y_1}= \dfrac{z -z_1}{z_2 -z_1}\). square, rectangular, or any other polygon. Polygons with equal. Sphere (4/3)r3 LW is the formula used in geometry to find the area of a rectangle. Let us now turn our attention to the study of geometrical solids. www.takshilalearning.com call 8800999284 Solid Shapes in Maths[/caption] Solids Shapes (Solid geometry) in Maths & their types and Formulas Solids or three-dimensional forms are three-dimensional shapes with three (or more) dimensions in geometry. Building on standards from middle school, students will extend the study of identifying cross-sections of. SA = B + rS. Solution: In geometry, we know that similar triangles are proportional. ] SA = B + 1 2sP. A = A 1 - A 2 = ( r 12 - r 22) for the area of the solid cross section of the tube, the end, an annulus . }]m|Iu_!^` [x^Ty1sh,f` __3:vJDncc&WQa_*F%W%! 0000001598 00000 n Euclidean geometry considers the study of points, lines, angles, and similarity and congruence in shapes, their patterns, and their transformations. If A > B, then there exists C such that A = B + C. The things that are double the same are equal to one another. Answer: The direction cosines of the z-axis are 0,0,1. HeJA$3I~ 0 Z Equiangular: all angles are . The study of angles in a unit circle and that of a triangle forms the stepping stone of trigonometry. Euclidean Geometry refers to the study of plane and solid figures on the basis of axioms (a statement or proposition) and theorems. Date: November 2019. Its properties are as follows: E.g., polygon, square, triangle, rectangle, circle. A triangle has three, The area under this condition can also be, solved by finding one angle using cosine law, Circle circumscribed about a quadrilateral, solved by finding one side using sine law and, any cyclic quadrilateral, the product of the, diagonals equals the sum of the products of the, There are two basic types of polygons, a convex, and a concave polygon. Mention different types of solid shapes(solid shapes names). 1 curved face Author: Justine Ann Gonzales. shapes Cylinder %%EOF Lines may be parallel or perpendicular. Never Mine, hes the only autor. They are characterized by vertices, faces, and edges. PDF AREA AND VOLUME FORMULAS - Nova Southeastern University 56 0 obj <> endobj 0000006992 00000 n 1 curved surface 566 26 Cooking is therapeutic! To browse Academia.edu and the wider internet faster and more securely, please take a few seconds toupgrade your browser. The things that are equal to the same things are equal to one another. Some attributes of solid geometric shapes are as follows: meet. 6. Imagine Ice cream waffle Cones for a good example! Find the length of BC if AD = 7 units, DB = 3 units, AE = 4 units and DE = 7 units. SA = 2B + 2rh. 56 13 uPz{7OYh]ph,aAvcB"6}CCWc**"L-@3`~v<>Ki{l. d is the diameter of the circle. squares, its length = breadth = height. Unit test Test your knowledge of all skills in this unit. 0000011046 00000 n The angle between two lines is cos = |\(l_1l_2 + m_1m_2 + n_1n_2\)| where is the acute angle between the lines. 3. Lines may or not intersect. endstream endobj 567 0 obj<>/OCGs[569 0 R]>>/PieceInfo<>>>/LastModified(D:20050621123209)/MarkInfo<>>> endobj 569 0 obj<>/PageElement<>>>>> endobj 570 0 obj<>/ProcSet[/PDF/Text]/ExtGState<>>>/StructParents 0>> endobj 571 0 obj<> endobj 572 0 obj<> endobj 573 0 obj<> endobj 574 0 obj<> endobj 575 0 obj<> endobj 576 0 obj<>stream = 6*6*6 = 512 cm3 Geometry Formulas List Shape Formulas Figure Right Triangle Pythagoras Theorem: a 2 + b 2 = c 2 Area = ab Perimeter = a + b + (a <> three faces join at a single vertex. 0000000556 00000 n Non-Euclidean geometry differs in its postulates on the nature of the parallel lines and the angles in the planar space, as validated by Euclidean geometry. startxref Find out all about this important discipline by taking a look at our more than 20 geometry PDF books. The things that are halves of the same things are equal to one another. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. Axioms or postulates are based on assumptions and have no proof for them. Or do you know how to improve StudyLib UI? Plane geometry deals with two-dimensional shapes and planes (x-axis and y-axis), while solid geometry deals with three-dimensional objects and 3D planes. With the various exams being announced, it is high time to start preparing for the exams. AAhM&}43gA+E %3Dc h 2r(r + h) Euclidean geometry involves the study of geometry in a plane. Imagine a Ludo Dice for a good example! Planes are used in every area of geometry and graph theory. 0000003274 00000 n Solid geometry formulas. 0 5cRSN*3%Pffs3F u&>E4|Z[=6N4p=. Example 2. Where, l is the side length n is the number of sides 3.19. I like to cook and eat it too! 1 flat face 1. Where do you get all formula of Geometry? Cavalieri's principle and dissection methods. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. endobj Licenced under GNU Free Documentation Licence. Area <> Version of 17 Jan 2006. It is a collection of propositions and postulates. Volume, V, (using volume for a cylinder ): V 1 = r 12 h for the volume enclosed by C 1. Download. A line has no endpoints. f?s.g\om5ON |jvzNWFtrW9M0 Solid, www.takshilalearning.com call 8800999284 Government Schemes for RBI Grade B Exam, Check Latest & Important Schemes! Geometry - Formulas, Examples | Plane and Solid Geometry - Cuemath Part of: B C segment joining two non-adjacent sides. DEVELOPMENT . All sides are perpendicular to each other or are at 90-degree angles. 4.7 Applications to geometry 68 4.8 Vector equations 72 5 Spherical geometry 74 5.1 Spherical distance 74 5.2 Spherical trigonometry 75 5.3 Area on the sphere 77 5.4 Euler's formula 79 5.5 Regular polyhedra 83 5.6 General polyhedra 85 6 Quaternions and isometries 89 6.1 Isometries of Euclidean space 89 6.2 Quaternions 95 6.3 Reections and . The sum of angles in a triangle is less than 180. In the given triangles, ABC and ADE are similar. Download PDF - Plane And Solid Geometry Formulas [34m2mrr3epn6] Thus Euclidean geometry is used in art and architecture, computer science, astronomy, and other fields of mathematics. 4. Angles are usually measured in degrees. s s s l w h 3V = s V = l w h Surface Area = 2(l w) + 2(l h) + 2(w h) Prism . 1. It then helps in building all other concepts in geometry that are based on these basic concepts. The axis of a prism is the line joining the centroids of the bases. Quiz 3: 5 questions Practice what you've learned, and level up on the above skills. and height. 568 0 obj<>stream 2. A straight line may be extended indefinitely in both directions. The formula for area of a regular polygon is given as, A = . . Tacloban City . FAQs (Frequently Asked Questions) Circumference of a circle =2r Where, r is the radius of the circle. 6a2 Imagine a shoebox or a wooden box for a good example! SA = 4r2. 0000008190 00000 n will study them in higher classes. point. 0000005705 00000 n Spheres . Volume formulas review (article) | Khan Academy 6 faces . The coinciding things are equal to one another. The z-axis makes 90, 90, and 0 with x, y, and z axes respectively. 4 0 obj 0000002043 00000 n xref Given ABC and ADE are two triangles that are similar. This complete e-book will help you in understanding the Geometry Formulas much more ease and convenience. Academia.edu uses cookies to personalize content, tailor ads and improve the user experience. PDF BASIC GEOMETRIC FORMULAS AND PROPERTIES - Texas State University The following are some names of, polygons in parallel planes and whose sides are. Example 1. 4. examples[/caption] The distance formula, the section formula, midpoint formula, the centroid of a triangle, the area of the triangle formed by three given points, and the area of the quadrilateral formed by four points are determined using the known coordinates in the cartesian coordinate system. AREA AND VOLUME FORMULAS Areas of Plane Figures Square Rectangle Parallelogram s s b w l h 2A = s A = l w A = b h . Circle Area of a Circle = r. Some of the teaching-learning activities are listed below: Geometry is the branch in mathematics that is further divided into various sub-branches that are given in the list below: The basics of geometry are the proper understanding of points, lines, and planes. An Intro to Geometry By Kiran S. Kedlaya. examples[/caption] www.takshilalearning.com call 8800999284 Thus it has its practical applications in our day-to-day life. The earlier you start, the better it would be. How to Prepare for RBI Grade B Exam, Study Plan, Preparation Strategy for Phase 1 & Phase 2. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Direction ratios of line joining the points P(\(x_1, y_1, z_1\)) and Q(\(x_2, y_2, z_2\)) are: \((x_2-x_1),(y_2-y_1), (z_2 -z_1)\) or \((x_1-x_2),(y_1-y_2), (z_1 -z_2)\). '};KL7:;I;u/~g` #% fg'|_o4QWXV[H)G3s^g l%: 2 flare services (the top and the bottom) Cubes volume = a3 PDF Geometry Formulas - Byju's It is defined as the set of all points in a plane that are equidistant from a given point called the center of the circle. Find the volume of the sphere of the radius of 3 cm. Spheres volume = 4/3r3 Download Plane And Solid Geometry Formulas. To learn more, view ourPrivacy Policy. 4. Similarly, solid shapes such as tables, chairs, notepads, or pens are all around us. Vertices: The vertices are the spots where the solid figures' edges meet. When two straight lines or rays intersect at a point, they form an angle. RBI Grade B Apply Online 2023, Application Link Active on 9th May 2023! Identifying and plotting points will be a building block of visualizing the geometric objects on the coordinate plane. Three-dimensional forms, often known as solids, are shapes that inhabit space. Shapes in Maths[/caption] Cylinder r2 4 0 obj RBI Grade B Selection Process 2023, Check Phase 1,2 & Interview!! endstream endobj 66 0 obj<>stream 2. Measurement of Three Dimensional Figures _Module and test questions. What is the vertex of the given parabola? The study of shapes and objects that have length, width, and height is called the solid geometry, whereas the study of the shapes that have no thickness and can be represented only on a two-dimensional plane surface is called plane geometry. The fundamental concepts of Euclidean geometry include Points and Lines, Euclids Axioms and Postulates, Geometrical Proof, and Euclids Fifth Postulate. Oliveboard Live Courses & Mock Test Series, SSC CGL 2023SSC CGL Notification 2023SSC CGL Exam DateSSC CGL Syllabus and Exam PatternSSC CGL Admit CardSSC CGL Previous Year PapersSSC CGL SalarySSC CGL Cut OffSSC CGL ResultSSC CGL Eligibility CriteriaSSC CGL Selection Process. The geometrical figures are categorized according to their dimensions as follows: C is the circumference of the circle. One-dimensional shape - A line is an example of such a shape since there is only one Solids: Definition 1. Equilateral: all sides are . 0000012763 00000 n If a straight line makes angles , and with the x-axis, y-axis, and z-axis respectively then cos, cos, cos are called the direction cosines of a line. Concave (a place to hide) Convex no diagonals lying outside 2 12 2 12 yyxx m y y x x 2 1 2 1 2 0 obj l and m intersect at point E. l and n intersect at point D. m and n intersect in line m 6 , , , n , &. Looking at the graph we know that the axis of symmetry is the y-axis, which is x = -1. 0000021417 00000 n Geometry Points, Lines & Planes Collinear points are points that lie on the same line. perimeters and areas. 0000004669 00000 n The plural form of a vertex is vertices. Using this mensuration formula list, it will be easy to solve the mensuration problems. Euclidean Geometry is the study of the geometry of flat shapes on a plane, while non-Euclidean geometry aims at studying curved surfaces. Is the category for this document correct. The basic components of planes in geometry are analogous to points, lines, and angles. To calculate the actual volume of a given shape, all you need to do is substitute the solid's dimensions into the formula and calculate. 1 edge We Share Geometry and mensuration 3d formula book Study Material according to SSC, UPSC Syllabus. Never Mine, hes the only autor. %%EOF A 2 = r 22 for the area enclosed by C 2. The, area of a regular polygon can be found by, considering one segment, which has the form of, tangent to one side and to the prolongation of, the other two sides. %PDF-1.3 % These are denoted as l = cos, m = cos, and n = cos. Similar polygons of different areas don't exist. What is Geometry? Plane & Solid Geometry | Formulas & Examples - BYJU'S 2. xbba`b``3 1x8@ ; | If is the angle between \(\vec r = \vec a_1+ \lambda \vec b_1\) and \(\vec r = \vec a_2+ \lambda \vec b_2\), then cos = |\(\dfrac{\vec b_1 . $rBf9[9Ox~pH9k\eoR.6vSdOhX^C3c! equiangular are called regular polygons. Substituting the values, cuboids surface area = 2 (6*5 + 5*9 + 6*9) = 258 cm2 stream 0000003512 00000 n 0000013887 00000 n 0000001305 00000 n Solid shapes in geometry are three-dimensional in nature. Type: PDF. Cuboid l b h 2 (lb + lh + hb), a3 endobj 0 edges Get Common Geometry Formulas for Class 8 to 12 for various shapes and figures. This geometry finds its application in topology. (solid A point is the no-dimensional basic unit of geometry. . 13_Three-Dimensional Geometry.pdf - Read online for free. 12 edges Plane and Solid Geometry Formulas hexagon, and a regular hexagonal prism has a base of a regular hexagon. Chooseany course, any time,whenever you like. %PDF-1.5 By using our site, you agree to our collection of information through the use of cookies. 2. 2 edges Rectangular Solid Volume = Length X Width X Height V = lwh Surface = 2lw + 2lh + 2wh. Answer: The vertex of the given parabola is at (-1, 3). 0000003719 00000 n In a plane geometry, 2d shapes such as triangles, squares, rectangles, circles are also called flat shapes. xb```b``Uf`e` |@1V@;|227T h r(r + l) Teaching geometry is not an easy task that can be done with a textbook and drawing some shapes on the board. Cone: A cone is a solid object having one circular base attached to a curving surface and a single Faces: The faces of the solid figures are the single flat figures of the solid figures. Mensuration and Geometry Formulas PDF Book Free Download Plane and Solid Geometry Formulas Prepared by: RTFVerterra hexagon, and a regular hexagonal prism has a base of a regular hexagon. The z-axis makes 90, 90, and 0 with x, y, and z axes respectively. 4. 4 64 256 () C a b j j h h h ab h ab S S. Solid Figure Geometry Formulas: Name Figure Surface Area (SA) Volume (V) Rectangular Prism SA wl hl wh 2 2 2 V lwh Example: 3 Find the direction cosines of the z-axis. Geometric Formulas. 0 Shapes Formulas Rectangle Area = Length X Width A = lw Perimeter = 2 X Lengths + 2 X Widths P = 2l + 2w Parallelogram Area = Base X Height A = bh . 253 0 obj <>/Filter/FlateDecode/ID[<9686B8A532E0CC459BC44BA017CFB659>]/Index[230 42]/Info 229 0 R/Length 104/Prev 70474/Root 231 0 R/Size 272/Type/XRef/W[1 2 1]>>stream 0000005449 00000 n vertex. 4. Any two straight lines are infinitely parallel that are equidistant from one another at two points. The coordinate axes divide the plane into four quadrants. +c8{w~'$ 0000001041 00000 n Now that we know about the properties of all these solids, lets also make a note of all its 3. endobj Sorry, preview is currently unavailable. Freely redistributable. Course: Bachelor of Science in Civil Engineering (BSCE) 585 Documents. 6&,2[tyi~SGXaDPiP!YFbRLj pa -`-^f f!,)&M*/(Qz!a3s %B~ab4; U6- 0 vertices Licenced under GNU Free Documentation Licence. There are many postulates and theorems applied by the Greek mathematician Euclid, who is often referred to as the Father of Geometry. 0000000016 00000 n Ltd. Latest Pattern SSC CGL Tier 2 Mock Test Attempt Now, Latest Pattern SSC CHSL Tier 1 & Tier 2 Mock Tests Attempt Now, Geometry Formulas PDF Free Ebook Download Here, Enroll For Complete Geometry Short Course, Oliveboard Edge 2021 Online Exam Preparation Platform, Top 50 SSC CGL Previous Year GK Questions Part 1: Download Full Pdf Here, The Hindu Editorial Daily Vocabulary Words 27 January 2020. In this e-book, you will find all the relevant inputs that are needed to . Figures with three COLLEGE . 0u\5fX m"7>[BUiG1/d&m"$Y:?D.UG+k3)D4XN)X7_~&+4.4N+KSDyrTteJQHK9diMZ1 faI1c!*0lSX aXv{F&MFxrM-ML[|~$)PK]ftf&yM*}wXYtBE%SSH+iq>Wl6W;oBSM}}!eFS1H.\g`x@Kv}O5E{}]lZBYUK(./dNcDZ`,5xpy3P08 5B9Gs@G4 2f>OA=?;0k(Id6-"e7r95Zx'QJH~%3u3JF0qa]+#X!P?j"]/%ox`wI} "7@X endobj A circle is drawn with any given point as its center and any length as its radius. shapes examples] The basic geometry is based on points, lines and planes . Academia.edu no longer supports Internet Explorer. NABARD Grade A Notification 2023, Complete Information, Exam Date & More! Cube. Its very important for us! A cube and a cuboid are distinguished by the fact that a cube has six identical square-shaped 5. Find the area of each face. Add up all areas. 1 0 obj xZKo7QJ! Lets also try using these formulas to solve some questions. You would, right! Plane and solid geometry formulas pdf - United States instructions Cuboid: A cuboid, also known as a rectangular prism, is a solid form of two-dimensional If A = B and C = D, then A + C = B + D. If equals are subtracted, the remainders are equal. 1. It has the following properties: 0000011572 00000 n Shape endstream endobj 591 0 obj<>/W[1 1 1]/Type/XRef/Index[23 543]>>stream 7. 6.5: Area, Surface Area and Volume Formulas The various properties of the geometric figures like straight lines, curves, parabolas, ellipse, hyperbola, circles, and so on can be studied using coordinate geometry. startxref Distance Formula: Midpoint Formula Regular: all angles are and all sides are . 3. All sides are perpendicular to each other or are at 90-degree angles. Pyramids -based) s Cones s s s H W L Surface Area (with bottom): ") ( $= Imagine a football! The father of Geometry is Euclid, a Greek mathematician. Plane and Solid Geometry Formulas | PDF | Triangle | Circle - Scribd Students can Download Geometric Formulas Cheat Sheet PDF for free of cost. Imagine a Coca-Cola Can for a good example! Also Cos = |\(\dfrac{a_1a_2+b_1b_2+c_1c_2}{\sqrt{a_1^2+b_1^2+c_1^2}\sqrt{a_1^2+b_1^2+c_1^2}}\)|, Angle between intersecting lines drawn parallel to each of the skew lines is the angle between skew lines. DOCX, PDF, TXT or read online from Scribd, 71% found this document useful, Mark this document as useful, 29% found this document not useful, Mark this document as not useful, Save Plane and Solid Geometry Formulas For Later. Report DMCA. Various concepts centered around symmetry, transformations in shapes, construction of shapes are the formative chapters in geometry. The angles can be an acute, obtuse, right angle, straight angle, or obtuse angle. A circle is a closed figure and has no edges or corners. An Intro to Geometry By Kiran S. Kedlaya. Given that, l = 6 cm, b = 5 and h = 9 cm. A triangle is a closed figure with three sides and three vertices. Its properties are as follows: Version of 17 Jan 2006. Shapes in Thus their cosines are cos 90, cos 90, and cos 0, Therefore the direction cosines are 0,0,1. Find the area of the base, times 2, then add the areas to the areas of the rectangle, which is the circumference times the height. The five platonic solids and the polyhedrons have interesting properties in Euclidean space. FORMULAS FOR PERIMETER, AREA, SURFACE, VOLUME Five Year Plans- Check the Latest Plan Insights Here! 566 0 obj <> endobj 0000003215 00000 n This will help you prepare for various exams like SSC CPO, SBI Clerk, RBI Assistant, IBPS Clerk , RBI Grade B , IBPS PO. The whole is greater than its part. His book 'Elements' is the most influential work in maths serves as the fundamentals of geometry. Formulas Two parallel lines converge in one direction and diverge in the other. %%EOF \KJR6 (1F Aygr2/p!Af%LPPb#XZBP c 87sr]9)&l?n?$vmHl^Le/s>g0Zi9PIV9w!z^u@ARsC1j[iWs =fJ $b&bbpY3|%\x/]`mvCqN(>G)s}NVZOY;g%Nz)hE60: Would you agree that a pyramid is a 3-dimensional form of a triangle? 0000000831 00000 n Geometry (from the Ancient Greek: geo- "earth", -metron "measurement") is a branch of mathematics, that is primarily concerned with the shapes and sizes of the objects, their relative position, and the properties of space. 2. The equation of a straight line passing through a point, or two points, the angle between two straight lines are computed easily using the analytical geometry as they are generalized using formulas. trailer RBI Grade B Previous Year Papers, Download Phase 1 & 2 Past Year Paper PDFs! Here the parabola opens up, so the axis of symmetry is vertical. Solids or three-dimensional forms are three-dimensional shapes with three (or more) dimensions A 1 = r 12 for the area enclosed by C 1. Cuboid The three dimensions that are taken into consideration are length, width, and height. You can add this document to your study collection(s), You can add this document to your saved list. Online Classes, www.takshilalearning.com call 8800999284 In the examples below, notice that cubic units ( meters 3, inches 3, feet 3) are used. endstream endobj 231 0 obj <>/Metadata 7 0 R/Outlines 11 0 R/PageLayout/OneColumn/Pages 228 0 R/StructTreeRoot 22 0 R/Type/Catalog>> endobj 232 0 obj <>/Font<>>>/Rotate 0/StructParents 0/Type/Page>> endobj 233 0 obj <>stream

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