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Why isn't a conic projection used to navigate a ship or aircraft?
Conic projections are typically used for mapping regions with east-west extents that are greater than their north-south extents, such as mid-latitude regions. Navigating a ship or aircraft requires accurate representation of both north-south and east-west directions, making other projections like Mercator or azimuthal projections more suitable for this purpose.
How is conic projection different from a cylindrical projection?
Conic projection and cylindrical projection are both methods of representing the Earth's curved surface on a flat map, but they differ in their geometric approach. Conic projections project the Earth's surface onto a cone, which is then flattened, making them more accurate for mid-latitude regions, while cylindrical projections project the surface onto a cylinder, typically resulting in greater distortion near the poles and equator. This means that conic projections are often better for certain applications like regional mapping, while cylindrical projections, like the Mercator, are useful for navigation due to their straight lines representing constant compass bearings.
What is the shape of all planets?
Planets' orbits are all forms of conic section, the curve formed by intersecting a plane with a symmetrical circular cone. The shape of a conic section is defined by a parameter called eccentricity, written as e. In order of eccentricity the four orbital shapes are: circles (e=0), ellipses (0<e<1), parabolas (e=1) and hyperbolas (e>1). Planets' orbits are ellipses with e less than 0.1, so they are approximately circular. You can only get a hyperbolic orbit with a body coming in at high speed from outside the solar system, which is extremely rare. You can make conic sections by shining a torch on a wall (a torch with a old fashioned bulb, not LEDs). It produces a cone of light, and the wall gives the intersection, so on the wall you can create those four shapes. Shining it straight at the wall gives a circle, slightly off gives an ellipse, then with one side of the cone parallel to the wall you get a parabola, and turning it further creates a hyperbola.
Why do you think a conic projection are called by its name?
Conic projections are named for the geometric shape they are based on: a cone. When creating a conic projection, the Earth's surface is projected onto a cone, which touches the globe along specific lines of latitude. This method allows for a more accurate representation of areas and distances for regions that are mostly oriented east-west, making it particularly useful for mapping mid-latitude areas. The name reflects both the technique used in the projection and the shape that serves as the basis for the mapping process.
What did Desargue study?
Gérard Desargues was a French mathematician known for his work in projective geometry. He is best known for Desargues' theorem, which relates to the perspective properties of triangles in projective space. Additionally, he contributed to the development of the concepts of conic sections and the foundations of projective geometry, influencing later mathematicians and the evolution of modern geometry. Desargues' ideas laid important groundwork for the field and helped shape the study of geometry in the 17th century.
What are the Types of conic sections?
The types of conic sections are circles, parabolas, hyperbolas, and ellipses.
Which Conic sections describes a closed curve?
Circles, parabolas, ellipses, and hyperbolas are all conic sections. Out of these conic sections, the circle and ellipse are the ones which define a closed curve.
What Was Johanne Kelper'sContribution To Astronomy?
Kepler discovered that planets move in elipses which are stretched out cicles. elipses are 1 of the four conic sections
What are the conic sections in a building?
The conic sections of a building are the parts that take a conic shaped design some examples would be the Berlin Reichstag Dome and the Sony Center in Berlin.
How is basketball connected to conic sections?
The only thing I can think of is a lobbed shot at the basket will approximately follow the path of a parabola, which is one of the conic sections.
Is it true that The point line and pair of intersecting lines are special types of comic sections?
No, the point, line, and pair of intersecting lines are not classified as conic sections. Conic sections are curves obtained by intersecting a plane with a double napped cone, resulting in shapes such as circles, ellipses, parabolas, and hyperbolas. The point and line can be considered degenerate cases of conic sections, but they do not fall into the traditional categories of conic sections themselves.
Why are conic section called conic sections?
Circles, ellipses, parabolas, and hyperbolas are called conic sections because they can be obtained as a intersection of a plane with a double- napped circular cone. If the plane passes through vertex of the double-napped cone, then the intersection is a point, a pair of straight lines or a single line. These are called degenerate conic sections. Because they are sections of a cone or a cone shaped object.
What was blaise pascal interested in?
math and conic sections
Why are conic sections important in science?
cause they are awsome
What careers use conic sections?
Aerospace engineer\
What has the author William Henry Drew written?
William Henry Drew has written: 'Solutions to problems contained in A geometrical treatise on conic sections' -- subject(s): Conic sections
What are real life examples of conic sections circles?
a wheel
