Dynamic Geometry

1947 ◽  
Vol 40 (4) ◽  
pp. 151-157
Author(s):  
John F. Schacht ◽  
John J. Kinsella

In 1938 Lloyd wrote: “Traditionally, geometry has been studied in the tenth grade as a system of rigid, non-flexible elements. The author advances the thesis that all geometric diagrams should be assumed as flexible linkages. …” The writer felt that the use of motion made the geometric materials more lifelike and, hence, more interesting, He also believed that many geometric properties were elucidated more clearly by the flexible models than by similar static ones. Finally, he pointed out that the variance and invariance of certain geometric elements were more easily demonstrated by jointed rather than fixed devices.

The structure of polytopes - polytopic prismahedrons, which are products of polytopes of lower dimensionality, is investigated. The products of polytopes do not belong to the well-studied class of simplicial polytopes, and therefore their investigations are of independent interest. Analytical dependencies characterizing the structure of the product of polytopes are obtained as a function of the structures of polytope factors. Images of a number of specific polytopic prismahedrons are obtained, tables of structures of polytopic prismahedrons are compiled, depending on the types of polytopes of the factors. The geometric properties of the boundary complexes of polytopic prismehedrons are investigated. Polytopic prismahedrons can be considered as a result of the chemical interaction of molecules, which, from among which there is a polytope of a certain dimension. The possibility of the multivaluedness of the incidence coefficients of geometric elements of polytopic prisms is revealed. It is shown that polytopic prismahedra, due to their nature, as products of polytopes, ensure the filling of n-dimensional spaces during their translation, creating a structure similar to the structure of quasicrystals.


Author(s):  
John W. Coleman

In the design engineering of high performance electromagnetic lenses, the direct conversion of electron optical design data into drawings for reliable hardware is oftentimes difficult, especially in terms of how to mount parts to each other, how to tolerance dimensions, and how to specify finishes. An answer to this is in the use of magnetostatic analytics, corresponding to boundary conditions for the optical design. With such models, the magnetostatic force on a test pole along the axis may be examined, and in this way one may obtain priority listings for holding dimensions, relieving stresses, etc..The development of magnetostatic models most easily proceeds from the derivation of scalar potentials of separate geometric elements. These potentials can then be conbined at will because of the superposition characteristic of conservative force fields.


2019 ◽  
pp. 3-8
Author(s):  
N.Yu. Bobrovskaya ◽  
M.F. Danilov

The criteria of the coordinate measurements quality at pilot-experimental production based on contemporary methods of quality management system and traditional methods of the measurements quality in Metrology are considered. As an additional criterion for quality of measurements, their duration is proposed. Analyzing the problem of assessing the quality of measurements, the authors pay particular attention to the role of technological heredity in the analysis of the sources of uncertainty of coordinate measurements, including not only the process of manufacturing the part, but all stages of the development of design and technological documentation. Along with such criteria as the degree of confidence in the results of measurements; the accuracy, convergence, reproducibility and speed of the results must take into account the correctness of technical specification, and such characteristics of the shape of the geometric elements to be controlled, such as flatness, roundness, cylindrical. It is noted that one of the main methods to reduce the uncertainty of coordinate measurements is to reduce the uncertainty in the initial data and measurement conditions, as well as to increase the stability of the tasks due to the reasonable choice of the basic geometric elements (measuring bases) of the part. A prerequisite for obtaining reliable quality indicators is a quantitative assessment of the conditions and organization of the measurement process. To plan and normalize the time of measurements, the authors propose to use analytical formulas, on the basis of which it is possible to perform quantitative analysis and optimization of quality indicators, including the speed of measurements.


Author(s):  
Emi Br Bukit ◽  
Berlin Sibarani ◽  
Rika Rika

This study aims at describing how the teachers teach reading comprehension of narrative text to the tenth grade students in Sibolangit and revealing the underlying reasons of why do they do that way. This study was conducted by using qualitative research design. The subject of this study were two english teachers who taught at tenth grade students of two SMA in Sibolangit they are : SMA Negeri  1 Sibolangit  and SMA RK Deli Murni Bandar Baru in academic year 2016/ 2017. The data were analyzed by using Miles and Huberman data analysis technique. The  technique of collecting the data was recorded from the classroom process in teaching reading comprehension of narrative text. The findings of the study show that most of teachers’ ways are not yet focusing on teaching reading comprehension but rather focusing teaching the knowledge of genre. The underlying reason of the teachers’ ways in teaching reading comprehension did not facilitate reading comprehension. It was due to the misperception of the concept of teaching reading comprehension.  Keywords : Teaching,Reading Comprehension,Narrative Text.


Author(s):  
Ruth Adelina Sianturi ◽  
Sumarsih Sumarsih

This study deals with the improving students’ achievement in reading narrative text by using reciprocal teaching. The research of this study was conducted by using action research. The subject of this study was the tenth grade students SMA Negeri 6 Medan. One class was taken as the subject, namely the students from X-5. There were 49 students, consisting of 22 male and 27 female. This research was done in two cycles; there was three meetings in cycle I and three meetings in cycle II. The instruments for collecting data were reading narrative text (25 items of multiple choice tests) teacher make test as quantitative data and interview sheet, observation sheet and diary notes as qualitative data. In analyzing the data, the mean of the students’ score for the treatment I was 61.79, for the treatment II was 72.24 and treatment III was 81.71. The data showed that the students’ score was rising in every treatment. The conclusion is that the use of reciprocal teaching method can improve students’ reading comprehension in narrative text. It suggested to English teacher to apply reciprocal teaching method in teaching reading comprehension. Key words: reading, narrative text, reciprocal teaching.


2020 ◽  
Vol 1 (2) ◽  
Author(s):  
Hari Razaki Akbar ◽  
Sofian Maral ◽  
Wardah Wardah

The aim of this research was to improve students listening comprehension by using Bottom-Up technique. This research is a classroom action research which has done in three cycles. The subject for this research was the tenth grade students in class X TAV. The research was conducted by using Bottom-Up technique which consists of three main stages. There are word processing, phrase processing, and comprehension. The researcher observed students improvement in listening comprehension by collecting data through field notes, observation checklist and listening test. Field note and observation checklist were used to gather the students attitude in learning process. The data of listening was collected through listening test and it was assessed through scoring rubric. The result showed that students problems in understanding the contents of listening and vocabulary had been solved by using Bottom-Up technique. In the first cycle, the students mean score was 76.7. It increased in the second cycle to 82.1, and 83.7 in third cycle. As the conclusion, the technique was able to be used in improving students listening comprehension. The researcher recommends the teacher to use Bottom-Up technique as a technique in teaching and learning process, especially in the teaching listening with the similar setting and difficulty.


2020 ◽  
Vol 1 (1) ◽  
Author(s):  
Uray Ryan Hermawan ◽  
Clarry Sada ◽  
Yanti Sri Rezeki

The research was aimed to investigate the use of diary writing to overcome students’ problem in writing recount texts. The problems include writing a recount text in chronological order, writing correct verb changes and developing ideas. Classroom action research was conducted by applying diary as the technique to help students overcome their problem. There were two cycles conducted in this research. The data were taken from the students’ individual score, observation checklist, and field notes. The result showed that teaching writing through diary writing improved students’ writing recount text. Referring to the research findings, the data showed that diary writing improved students’ recount text, as seen in their score. These in terms of score, students’ improved from 71.96 to 76.03 and improving the motivation to the students which makes them eager to write also makes the teaching learning process better. In conclusions, students’ writing recount text of the tenth grade students of class IPS 1 of SMAN 4 Sungai Raya in academic year 2018/2019 improved by using diary.


Sign in / Sign up

Export Citation Format

Share Document