# Some Geometric Objects Related to a Family of the Ballistic Trajectories in a Viscous Medium

### Zarema Seidametova, Valerii Temnenko

#### 2020

#### Abstract

Computer geometric modeling is important pre-processing steps in the object's mathematical representation using curves that may be constructed using analytic functions, a set of points, or other curves and surfaces. The paper describes some remarkable curves related to a family of the ballistic trajectories in a viscous medium with a linear resistance. The envelope of the family of trajectories, the trajectory of the farthest flight and the curve of maximum flight altitudes are presented in parametric form. A geometric interpretation of the entire set of ballistic trajectories in the form of some surface (the Galileo's dome) is also presented.

Download#### Paper Citation

#### in Harvard Style

Seidametova Z. and Temnenko V. (2020). **Some Geometric Objects Related to a Family of the Ballistic Trajectories in a Viscous Medium**. In *Proceedings of the 1st Symposium on Advances in Educational Technology - Volume 2: AET,* ISBN 978-989-758-558-6, pages 578-583. DOI: 10.5220/0011009600003364

#### in Bibtex Style

@conference{aet20,

author={Zarema Seidametova and Valerii Temnenko},

title={Some Geometric Objects Related to a Family of the Ballistic Trajectories in a Viscous Medium},

booktitle={Proceedings of the 1st Symposium on Advances in Educational Technology - Volume 2: AET,},

year={2020},

pages={578-583},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0011009600003364},

isbn={978-989-758-558-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 1st Symposium on Advances in Educational Technology - Volume 2: AET,

TI - Some Geometric Objects Related to a Family of the Ballistic Trajectories in a Viscous Medium

SN - 978-989-758-558-6

AU - Seidametova Z.

AU - Temnenko V.

PY - 2020

SP - 578

EP - 583

DO - 10.5220/0011009600003364