What was Jakob Steiner known for?
What was Jakob Steiner known for?
Jakob Steiner (18 March 1796 – 1 April 1863) was a Swiss mathematician who worked primarily in geometry….
| Jakob Steiner | |
|---|---|
| Citizenship | Swiss |
| Known for | Euclidean geometry Projective geometry Synthetic geometry |
| Scientific career | |
| Fields | Mathematics |
What is the parallel axis theorem used for?
The parallel axis theorem is used for finding the moment of inertia of the area of a rigid body whose axis is parallel to the axis of the known moment body, and it is through the centre of gravity of the object.
What is Steiner’s law?
The parallel axis theorem, also known as Huygens–Steiner theorem, or just as Steiner’s theorem, named after Christiaan Huygens and Jakob Steiner, can be used to determine the moment of inertia or the second moment of area of a rigid body about any axis, given the body’s moment of inertia about a parallel axis through …
What is the difference between synthetic and analytic geometry?
Synthetic geometry is that which studies figures as such, without recourse to formulae, whereas analytic geometry consistently makes use of such formulae as can be written down after the adoption of an appropriate system of coordinates.
What is parallel and perpendicular axis theorem?
This theorem states that the moment of inertia of a planar body about an axis perpendicular to its plane is equal to the sum of its moments of inertia about two perpendicular axes concurrent with the perpendicular axis and lying in the plane of the body.
What are the two theorems of moment of inertia?
Solution : Two theorems of moment of inertia are theorem of parallel axes and theorem of perpendicular axes.
What is parallel axis theorem used in moment of inertia?
Parallel axis theorem states that The moment of inertia of a body about an axis parallel to the body passing through its centre is the sum of moment of inertia of a body about the axis passing through the middle and product of the mass of the body times the square of the distance between the 2 axes.
What is D in moment of inertia?
d is the perpendicuar distance between the centroidal axis and the parallel axis. Page 7. Parallel Axis Theorem – Derivation. • Consider the moment of inertia I.
Who discovered Euclidean geometry?
mathematician Euclid
Euclidean geometry, the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid (c. 300 bce).
Who discovers synthetic geometry?
Steiner discovered synthetically the two prominent properties of a surface of the third order; viz. that it contains twenty-seven straight lines and a pentahedron which has the double points for its vertices and the lines of the Hessian of the given surface for its edges.