It is obvious that there is not enough information to determine if PU, PV, and PC are mutually at right angles. Line PU, P, U, line PV, P, V, line PC, P, C : tance from a point to a plane gives us the following system of equations. Point C, 0, 0, t1, point U, t2, 0, 0, point V, 0, t3, 0 : Introduction to Maple - Mathematical package for everybody, Moscow, Mir. Find the locus of a point P when the lines PU, PV, PC are mutually at right angles.Īssume t1, real, t2, real, t3, real, t1 ≠ 0, t2 ≠ 0, t3 ≠ 0, x ≠ 0, y ≠ 0, z ≠ 0 : − x a~ − y b~ − z c~ + x 2 + y 2 + z 2 = 0Ī ≔ a : b ≔ b : c ≔ c :Ĭ is a fixed point on OZ and U, V are variable points on OX, OY respectively. Make sure that A, B, C are not the same as the originĪssume a, real, a ≠ 0, b, real, b ≠ 0, c, real, c ≠ 0 : _EnvXName ≔ x : _EnvYName ≔ y : _EnvZName ≔ z :įind the equation of the sphere through the origin o and three points A, B, C whose coordinates are a, 0, 0, 0, b, 0, 0, 0, c. The command with(geom3d,sphere) allows the use of the abbreviated form of this command. Returns a detailed description of the given sphere s. Returns the name of the axis or FAIL if the axis is not assigned to any name.
Returns the equation that represents the sphere. Returns the form of the geometric object (i.e., sphere3d if s is a sphere). To access the information relating to a sphere s, use the following function calls: If not, Maple will prompt for input of the names of the axes. In case the optional argument n is not given, if the environment variables _EnvXName, _EnvYName and _EnvZName are assigned to three names, these three names will be used as the names of the axes. The input is an equation or a polynomial. A simple way to set the names without being prompted is to set the environment variables EnvXName, EnvYName, and EnvZName to the axis names (or EnvTName for the case of line) that you prefer. In general, the names of the axes must be included when you define an object. The sphere defined is the one with center A and is tangent to the plane p. When an object is defined using its algebraic representation (that is, an equation or a polynomial), you can use any name for the x-axis, the y-axis, and the z-axis. Some version of the point plot (with some shading scheme) may or may not be displayed alongside the various surfaces constructed below. The input is a list of two elements where the first element is a point, the second element is a number.įrom a point A and a plane p. First, one can construct the basic 3D point plot from the data.
(optional) m is a name of the center of the sphere to be createdĪ sphere is the set of all points in space that have the same distance from the center.įrom the two points which make a diameter of the sphere s. (optional) list of three names representing the names of the axes The algebraic representation of the sphere (i.e., a polynomial or an equation) Shoot the balloons that appear to get the fourth Korok.Sphere( s, , n, 'centername'=m) At the north part of Mapla Point, there is a pinwheel on top of the highest elevation.
#GEO3D MAPLE POINT SERIES#
Along the wast side of the area, there are a series of flowers Link can collect, leading up to a white flower that reveals the Korok. There is a circle of rocks at the sound of the Mapla Point and three small rocks need to be put in place to complete the circle. There is a circle of lilypads that can be jumped into within the water. There are several Ore Deposits in the area surrounding the water, as well as on the higher elevations.įour different Korok Seeds can be found near Mapla Point. In the water itself, Link will find some Armored Porgy, as well as some Mighty Porgy in the deeper water out to sea. The main attraction at Mapla Point is the Stone Talus that is found down below near the water. It is surrounded by water on three sides, with the Solewood Range to the northwest, Deepback Bay to the west, and the Necluda Sea in all other directions. Mapla Point is located at the far east end of the map, east of Hateno Village.
0 kommentar(er)
