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1. Trikampio egzistavimas, kai žinomi trys jo elementai.

Author

Mazėtis, Edmundas and Melničenko, Grigorijus

Abstract

Copyright of Lietuvos Matematikos Rinkinys is the property of Vilnius University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Published
2022
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2. On the problem of the existence and uniqueness of right triangles

Author

Kirjackis, Jevgenijus, Mazėtis, Edmundas, and Melničenko, Grigorijus

Subjects
right triangle, median, bisector, cubic equation
Abstract

In the article necessary and sufficient conditions for existence and uniqueness of a right triangle with given bisector and median are established.

Published
2017

3. On the insolubility of one drawing problem II

Author

Kirjackis, Jevgenijus, Mazėtis, Edmundas, and Melničenko, Grigorijus

Subjects
triange, median, bisector, drawing with compass and straightedge, cubic equation
Abstract

It is shown in the article that, in general, it is not possible to draw a triangle using a compass and a straightedge given an angle and a bisector and a median drawn from the vertices of another different angles. It is shown in which particular cases a triangle can be drawn.

Published
2016

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