Famous construction of Fermat-Toricelly point of a triangle leads to the question is there a similar way to construct other isogonic centers of a triangle in a similar way. For a purpose we remember that Fermat-Torricelli point of a triangle ΔABC is obtained by constructing equilateral triangles outwardly on the sides AB,BC and CA. If we denote thirth vertices of those triangles by C1 ,A1 and B1 respectively, then the lines AA1 ,BB1 and CC1 concurr at the Fermat-Torricelli point of a triangle ΔABC (Van Lamoen, 2003). In this work we present the condition for the concurrence, of the lines AA1 ,BB1 and C1 , where C1 ,A1 and B1 are the vertices of an isosceles triangles constructed on the sides AB,BC and CA (not necessarily outwordly) of a triangle ΔABC. The angles at this work are strictly positive directed so we recommend the reader to pay attention to this fact.
Gymnasium as a school and as one of the levels in education has changed for decades both in the curriculum and in its duration. Nevertheless, the common goal in each period of Gymnasium education was and remains to provide students with the widest possible general education and to prepare them for further education at various universities of technical, social and natural sciences. In the last stage of socialism in Bosnia and Herzegovina, all high schools in their curriculum aimed to train students for one of the working professions so that each student after graduating from high school acquired a certain knowledge and could be employed in the sector for which educated. During that period, grammar schools were formally abolished. Instead, secondary administrative schools were most often formed, which were most similar to Gymnasiumin terms of their curriculum. In the present age, the gymnasium as a school exists with the fact that the curriculum is common to all first and second grades, while the third and fourth grades are divided into directions: mathematics-informatics, natural, social, linguistic and information-communication. Without going into the purpose of the existence of other directions, it should be emphasized that the mathematics-informatics direction aims to bring the students of the final grades of grammar school closer to technical and informatics universities, ie to acquaint them with technical and informatics. One of the key subjects at some technical colleges is descriptive geometry. These would primarily be the universities of architecture, civil engineering and mechanical engineering. In informal conversations between fourth graders regardless of direction and their teachers from time to time the topic is the subject of descriptive geometry. From the mentioned conversations, two mutually opposing hypotheses crystallized in terms of the importance of descriptive geometry, ie whether or not descriptive geometry should be introduced in all directions of Gymnasium. In order to determine which of these two hypotheses prevails, a generic / developmental method was applied, ie a survey was used as one of the research techniques. The survey was conducted in February 2020. A sample of 80 fourth-grade students from the "Muhsin Rizvić" Gymnasium in Kakanj and the "Visoko" Gymnasium in Visoko, who are not in the mathematics and computer science trend, was selected for the survey. As can be seen, the importance of descriptive geometry as a subject will be expressed by those students who do not have descriptive geometry as a subject according to the curriculum
Contemporary learning processes in schools and universities could not be imagined without the use of computers and calculators. Naturally, all is good if they are used in order to acquire new knowledge or solve problems from expert subjects in technical schools, which demand large quantity of simple mathematical operations. However, what if frequent use of calculators, either pocket or those installed on every home and school computer, becomes an addiction in students who begin using them while calculating simple mathematical operations, such as multiplying or adding and detracting one-digit numbers or numbers smaller than 20, when they should know this by heart? We arrived at this hypothesis during knowledge tests for students after regular demonstrations and elaborations of Mathematics subject matter. In order to confirm or deny this hypothesis, generic/developmental method, that is, survey was used as one of research techniques (Selimović, 2013., p. 104). The survey was conducted in March during academic 2016/2017 and the sample consisted of 59 students in 2nd grade of Grammar School Tešanj.
