What is the zero circle of the planimeter?
Zero circle or the circle of correction, is the circle around whose circumference if the tracing point is moved but no rotation of the wheel will be caused. the wheel will slide on the paper without causing any change in the reading.
How do you read a planimeter?
After placing the anchor point, place the tracing point on the outline of the given plan using tracing arm. Mark the tracing point and note down the reading on Vernier as initial reading A. Now move the tracing needle carefully over the outline of the given plan till the first point is reached.
How a planimeter works in cartography?
As the planimeter moves, the wheel partially rolls and partially slides. Motion of the segment in the direction of the vector N causes the wheel to roll, which is recorded on a scale attached to the wheel. The motion of the segment along its length causes the wheel to slide, and this motion is not recorded.
How will you measure the area by using digital planimeter?
For measuring the area of plots with planimeter, two methods are generally adopted. Method 1: the area of the figure is measured in square cm and the field area is determined by multiplying the area of the figure by the square of the scale of the plot. Along with the planimeter, the manufactures supply a scale chart.
Why is a circle a zero?
In mathematics, the number 0, or simply zero, most likely derived its shape from the sun and the moon. Many have ascribed divine qualities to circles. The study of the circle eventually led to the development of astronomy, geometry and calculus.
What does a planimeter measure?
A planimeter is a table-top instrument for measuring areas, usually the areas of irregular regions on a map or photograph.
How many types of planimeter is used?
The precise way in which they are constructed varies, with the main types of mechanical planimeter being polar, linear and Prytz or “hatchet” planimeters. The Swiss mathematician Jakob Amsler-Laffon built the first modern planimeter in 1854, the concept having been pioneered by Johann Martin Hermann in 1814.
Can a circle be zero?
The modern numerical digit 0 is usually written as a circle, an ellipse, or a rounded rectangle.
Is the a circle with 0 radius?
In various high school textbooks, when the radius of a circle is zero, it is said that it is a degenerate circle of zero radius. That means we’re looking at a circumference of zero radius. Consequently, only one point belongs to the circumference, which is the centre.
What are types of planimeter?
The precise way in which they are constructed varies, with the main types of mechanical planimeter being polar, linear and Prytz or “hatchet” planimeters.
Why is planimeter important?
Significance of Planimeter in Area computation The planimeter gives more accurate (within one percent) results compared to the other methods except by direct calculation from the field notes. It is used for determining the areas of figures plotted to scale, especially when the boundaries are irregular.
What is Polar planimeter?
A polar planimeter is a mechanical device used to measure the area of a region by tracing the boundary of the region.
What is a circle with 0 radius?
A point “circle” is just a point; it’s a circle with a radius of zero.
What is a point circle?
A point “circle” is just a point; it’s a circle with a radius of zero (hence a degenerate circle). An imaginary circle is one in which the radius is the square root of a negative number—i.e., imaginary.
What is a linear planimeter?
The linear planimeter works on the same basic principle as the polar planimeter, and is simply a variation that allows the areas of long, skinny regions to be measured. Here are some pictures of a Keuffel & Esser polar planimeter I have (model 620015). This was made by the German company Haff in about 1970.
What is linear planimeter?
What is the equation of a circle if the center is 0 0?
x2 + y2 = r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .
Why is point a circle?
How many points are in a circle?
Three points
Three points uniquely define a circle. If you circumscribe a circle around a triangle, the circumcenter of that triangle will also be the center of that circle. Created by Sal Khan.
What is meant by Zero Circle?
Zero circle or the circle of correction, is the circle around whose circumference if the tracing point is moved but no rotation of the wheel will be caused.the wheel will slide on the paper without causing any change in the reading.
How do you find the radius of a zero circle?
(ii) Place the tracing point at T, the anchor point at A and the wheel at W. Measuring the distance AT between the anchor point and the tracing point, which gives the radius R of the zero circle.
What is the difference between polar planimeter and linear planimeter?
The polar planimeter is restricted by design to measuring areas within limits determined by its size and geometry. However, the linear type has no restriction in one dimension, because it can roll. Its wheels must not slip, because the movement must be constrained to a straight line.