Geogebra/C3/Theorems-on-Chords-and-Arcs/Khasi
From Script | Spoken-Tutorial
Time | Narration |
00:01 | Khublei iaphi baroh. Ngi pdiang sngewbha iaphi sha kane ka jinghikai/tutorial shaphang ka Theorems on Chords and Arcs in Geogebra. |
00:08 | Ha kaba kut jong kane ka jinghikai/tutorial, |
00:09 | phi lah ban pynshisha ia ki theorems shaphang ka : |
00:14 | Chords jong ka circle. |
00:16 | Arcs jong ka circle. |
00:18 | Ngi tharai ba phi lah don ia ki jingtip ba kumno ka Geogebra ka treikam. |
00:23 | lada em , na bynta ki jinghikai ba iabiang , sngewbha leit ha ka website jong ngi: http://spoken-tutorial.org |
00:30 | Ban record ia kane ka jinghikai Nga pyndonkam da ka: |
00:32 | Ubuntu Linux OS Version 11.10 |
00:36 | Geogebra Version 3.2.47.0 |
00:42 | Ngin pyndonkam da ki Geogebra tools kiba harum: |
00:47 | Circle bad ka Center bad Radius |
00:49 | Circular Sector bad ka Center hapdeng Artylli ki Points |
00:53 | Circular Arc bad ka Center hapdeng Artylli ki points |
00:56 | U Midpoint bad |
00:58 | U Perpendicular line |
01:00 | Shah ngin open/plie ia ka GeoGebra window kaba thymmai. |
01:02 | Nion ha Dash home, Media Apps. |
01:06 | Hapoh Type, jied Education bad GeoGebra. |
01:15 | Shah ngin iathuh ia ka theorem: |
01:17 | "Ka Perpendicular na ka center jong ka circle sha ka chord ka bisects ia ka chord". |
01:23 | Ka Perpendicular na ka center A jong ka circle sha ka chord BC ka bisects ia ka. |
01:32 | Shah ngin pynshisha ia ka theorem. |
01:37 | Na bynta kane ka jinghikai , Ngan pyndonkam da k Grid layout ha ka jaka jong ka Axes. |
01:42 | Nion ha ka kadiang ha u drawing pad. |
01:44 | Hapoh ka Graphic view, uncheck ia ka Axes. |
01:47 | Jied ia ka Grid. |
01:51 | Shah ngin draw/dro ia ka circle. |
01:54 | Jied ia ka Circle with Center and Radius tool na u tool bar. |
01:58 | Mark ia u point A ha u drawing pad. |
02:01 | Ka dialogue box ka open/plie. |
02:03 | Shah ngin type ia u value 3 na bynta u radius. |
02:06 | Nion OK. |
02:07 | Ka circle bad ka center A bad u radius 3cm u lah draw/dro. |
02:13 | Shah ngin pynkhih ia u point A bad peit ia ka jingkhih jong ka circle. |
02:19 | Jied Segment between two points tool. |
02:22 | Mark ia ki B bad C ha ka circumference jong ka circle. |
02:27 | Ka chord BC ka lah draw/dro. |
02:30 | Shah ngin draw/dro ia u perpendicular line/lain sha ka chord BC kaba pass lyngba u point A. |
02:35 | Nion ha Perpendicular Line tool na u tool bar. |
02:39 | Nion ha ka chord BC bad ha u point A. |
02:44 | Shah ngin pynkhih ia u point B bad peit kumno u perpendicular line/lain u khih ryngkat bad u point 'B'. |
02:52 | U Perpendicular line bad chord BC ki ia kynduh ha u point. |
02:56 | Nion ha ka Intersect Two Objects tool. |
02:58 | Mark ia ki point jong kiba ia kynduh kum u D. |
03:03 | Shah ngin pynshisha lada u D u dei u mid point jong ka chord BC. |
03:08 | Nion ha ka Distance tool. |
03:11 | Nion ha ki points B, D ...D, C . |
03:19 | Phin iohi ba ki jingjngai/distances BD bad DC ki ia ryngkat. |
03:24 | Kaba mut u D u dei u midpoint jong ka chord BC |
03:29 | Shah ngin thew ia ka angle CDA. |
03:33 | Nion ha ka Angle tool. |
03:35 | Nion ha ki points C, D, A, |
03:42 | Ka angle CDA ka long '90' degrees. |
03:46 | Ka theorem ka lah pynshisha. |
03:50 | Shah ngin pynkhih ia u point C bad peit kumno ki jingjngai ki khih ryngkat bad u point 'C'. |
04:03 | Shah ngin save ia ka file mynta. |
04:05 | Nion ha File >> Save As. |
04:08 | Ngan type ia ka file name/kyrteng jong ka file kum ka circle-chord. |
04:12 | circle-chord. |
04:16 | Nion ha Save. |
04:21 | Shah ngin pynkhih sa sha ka theorem kaba bud. |
04:28 | "Ki Inscribed angles subtended da ka arc ba ia kajuh ki ia ryngkat". |
04:34 | Inscribed angles BDC bad BEC subtended da ka arc BC ba ia kajuh ki ia ryngkat. |
04:44 | Shah ngin pynshisha ia ka theorem. |
04:48 | Shah ngin open/plie ia ka Geogebra window kaba thymmai. |
04:51 | Nion ha File >> New. |
04:55 | Shah ngin draw/dro ia ka circle. |
04:57 | Nion ha ka Circle with Center through Point tool, na u toolbar. |
05:01 | Mark ia u point A kum ka centre, |
05:04 | bad nion biang ban ioh ia u point B. |
05:10 | Shah ngin draw/dro ia ka arc BC. |
05:13 | Nion ha ka Circular Arc with Center between Two Points. |
05:17 | Nion ha ki points A, B bad C ha ka circumference. |
05:24 | Ka arc BC ka lah draw/dro. |
05:26 | Shah ngin pynkylla ia ki properties jong ka arc BC. |
05:30 | Hapoh ka Algebra View, |
05:32 | nion ha ka kadiang ha u object d. |
05:35 | Jied ia ka Object Properties. |
05:37 | Jied ia ka Color kum ka green, nion ha Close. |
05:46 | Nion ha ka New Point tool, mark ia ki points D bad E ha ka circumference jong ka circle. |
05:56 | Shah ngin subtend ia artylli ki angles na ka arc BC sha ki points D bad E. |
06:03 | Nion ha ka Polygon tool, |
06:05 | nion ha ki points E, B, D, C bad E sa shisien , ban pyndep ia ka figure/dur. |
06:18 | Shah ngin thew/measure ia ki angles BDC bad BEC. |
06:26 | Nion ha ka Angle tool, |
06:28 | Nion ha ki points B, D, C bad B, E, C. |
06:40 | Ngin iohi ba ki angles BDC bad BEC ki ia ryngkat. |
06:51 | Shah ngin iathuh ia ka theorem kaba bud. |
06:55 | "Ka Angle subtended da ka arc ha ka center ka long arshah ia ki inscribed angles subtended da ka arc kaba ia kajuh". |
07:06 | Ka Angle BAC subtended da ka arc BC ha u A ka long arshah ia ki inscribed angles BEC bad BDC, kaba subtended da ka arc kaba ia kajuh. |
07:22 | Shah ngin pynshisha ia ka theorem. |
07:26 | Shah ngin draw/dro ia ka sector ABC. |
07:30 | Nion ha ka Circular Sector with Center between Two Points tool. |
07:35 | Nion ha ki points A, B, C. |
07:45 | Shah ngin pynkylla ia ka rong/color jong ka sector ABC. |
07:48 | Nion ha ka kadiang ha ka sector ABC. |
07:51 | Jied ia ka Object Properties. |
07:54 | Jied ia ka Color kum ka Green. Nion ha Close. |
08:00 | Shah ngin thew ia ka angle BAC. |
08:04 | Nion ha ka Angle tool , nion ha ki points B, A, C. |
08:15 | Ka Angle BAC ka long arshah ia ki angles BEC bad BDC. |
08:28 | Shah ngin pynkhih ia u point C. |
08:32 | Phin iohi ba ka angle BAC ka long barabor arshah ia ki angles BEC bad BDC. |
08:41 | Na kata ka daw ki theorems ki lah pynshisha. |
08:45 | Bad kane, ngi poi sha kaba kut jong kane ka jinghikai. |
08:48 | Shah ngin pynlyngkot. |
08:53 | Hapoh kane ka jinghikai, ngi lah pule ban pynshisha ba ka: |
08:57 | Perpendicular na ka center sha ka chord ka bisects ia ka |
09:00 | Ki Inscribed angles subtended da ka arc kaba ia kajuh ki ia ryngkat |
09:06 | Ka Central angle jong ka circle ka long arshah sha kano2 ka inscribed angle subtended da ka arc kaba ia kajuh. |
09:15 | Kum ka assignment, Nga kwah iaphi ban pynshisha |
09:19 | ba ki chords jong ka circle kiba ia ryngkat ki ia ryngkat ka jingjngai na ka center. |
09:24 | Draw/dro ia ka circle. |
09:25 | Jied Segment bad ka length kaba la ain a u point tool. |
09:29 | Pyndonkam ia u ban draw/dro ia artylli ki chords kiba ia ryngkat ka size. |
09:33 | Draw ia ki perpendicular lines na ka center sha ki chords. |
09:37 | Mark ia ki points jong kiba ia kynduh. |
09:40 | Measure/thew ia ki jingjngai jong ka perpendicular. |
09:44 | Ka output jong ka Assignment ka dei ban long kumne. |
09:48 | Peit ia ka video kaba lah ban ioh na kane ka url: http://spoken-tutorial.org/What is a Spoken Tutorial |
09:51 | Ka pynlyngkot ia ka Spoken Tutorial project. |
09:53 | Lada phim don ia ka bandwidth kaba biang , phi lah ban download bad peit ia ka. |
09:58 | Ka Spoken Tutorial Project Team : |
10:00 | ka pynlong ia ki workshops da kaba pyndonkam da ka spoken tutorials. |
10:03 | Ka ai certificates sha kito kiba pass ia ka online test. |
10:06 | Ia ki jingtip ba kham bniah , sngewbha write/thoh sha ka contact@spoken-tutorial.org. |
10:14 | Ka Spoken Tutorial Project ka dei ka bynta jong ka jingkren sha ki nonghikai project. |
10:18 | La kyrshan ia ka da ka National Mission on Education lyngba ka ICT, MHRD, Government jong ka India. |
10:25 | Ia ki jingtip ba kham bniah ha kane ka mission lah ban ioh na kane ka link. |
10:29 | Ine i dei i Riba Janai Meghalaya, signing off . Khublei Shibun ba phi lah iasoh. |