714-0641/01 – Constructive Geometry (KG)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits3
Subject guarantorRNDr. Bedřich LubojackýSubject version guarantorRNDr. Bedřich Lubojacký
Study levelundergraduate or graduateRequirementChoice-compulsory
Year1Semestersummer
Study languageCzech
Year of introduction1999/2000Year of cancellation2005/2006
Intended for the facultiesFMTIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
LUB30 RNDr. Bedřich Lubojacký
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+1
Combined Credit and Examination 14+0

Subject aims expressed by acquired skills and competences

Teaching methods

Summary

Compulsory literature:

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Kuželosečky Ohniskové vlastnosti elipsy - její konstrukce z daných prvků. Afinní vlastnosti elipsy - sdružené průměry elipsy, Rytzova konstrukce, proužková konstrukce. Ohniskové vlastnosti hyperboly a paraboly - jejich konstrukce z daných prvků. Tečna z bodu ke kuželosečce. Mongeovo promítání Průmět bodu, přímky a roviny, bod a přímka ležící v rovině, hlavní a spádové přímky roviny, roviny rovnoběžné. Základní úlohy polohy - průsečnice dvou rovin, průsečík přímky s rovinou a jejich užití. Základní úlohy metrické - skutečná velikost úsečky, přímka kolmá k rovině, rovina kolmá k přímce, otáčení roviny do průmětny a jejich užití. Průmět kružnice. Rotační plochy hlavně algebraické kvadratické. Základní pojmy - rovnoběžka, meridián, bod na ploše, tečná rovina plochy, průmět rotační plochy v MP a promítání na nárysnu. Řez rotační plochy rovinou, průsečík přímky s rotační plochou. Průniky rotačních ploch Konstrukce průnikové křivky rotačních ploch s osami rovnoběžnými, různoběžnými a mimoběžnými, stupeň průnikové křivky. Rozpad průnikové křivky. Pravoúhlý průmět průnikové křivky do roviny rovnoběžné s osami rotačních ploch.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 20 (20) 0
                Project Project 10  0
                Written exam Written test 10  0
        Examination Examination 80 (80) 0
                Written examination Written examination 60  0
                Oral Oral examination 20  0
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2004/2005 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T999) Metallurgy P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (3911T023) Quality Control Management P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals P Czech Ostrava 1 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T999) Metallurgy K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T999) Metallurgy K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T999) Metallurgy P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (3911T023) Quality Control Management P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals P Czech Ostrava 1 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals K Czech Ostrava 2 Choice-compulsory study plan
2002/2003 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials K Czech Ostrava 2 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T999) Metallurgy K Czech Ostrava 2 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T999) Metallurgy P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M3909) Process Engineering (3911T023) Quality Control Management P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (3904T009) Environment Protection in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T999) Metallurgy K Czech Ostrava 2 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T999) Metallurgy P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T009) Metallurgy P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T016) Metalurgie železa a oceli (03) Metallurgy of Iron and Steel P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T022) Slévárenství (04) Slévárenství P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T030) Tváření materiálů (05) Tváření materiálů P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T001) Economics and Management in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M2109) Metallurgical Engineering (3902T007) Automation and Computer Techniques in Metalurgy P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M3909) Process Engineering (3911T008) Chemické a fyzikální metody zkoušení materiálu (01) Chemické a fyzikální metody zkoušení materiálů P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M3909) Process Engineering (2807T004) Chemical Engineering (02) Chemické inženýrství P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M3909) Process Engineering (2811T002) Chemie a technologie paliv (03) Chemie a technologie paliv P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M3909) Process Engineering (2805T002) Chemie a technologie ochrany životního prostředí (04) Chemie a technologie ochrany životního prostředí P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M3910) Physical and Materials Engineering (3911T011) Material Engineering P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M3910) Physical and Materials Engineering (3911T020) Nové technické materiály (01) New Technical Materials P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M3910) Physical and Materials Engineering (3911T010) Kovové materiály (02) Metalic Materials P Czech Ostrava 1 Choice-compulsory study plan
2000/2001 (M3910) Physical and Materials Engineering (3911T019) Neželezné kovy (03) Non-ferous Metals P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner