This channel provides proper knowledge tips tricks and hidden ideas for mathematical solution also helps children to increase their ability to deal with difficult problems related to math.
This channel is thankful to all the apps which are useful for creating YouTube videos.
#mathmatical
#solution
#set
#triangles
#quardilateral
#circle
#Theroems
#interst
#euucational vidoes
#easy formula tricks
Shared 1 year ago
33 views
Shared 1 year ago
28 views
Shared 1 year ago
54 views
Shared 1 year ago
85 views
Shared 3 years ago
80 views
Shared 3 years ago
52 views
Shared 3 years ago
80 views
Shared 3 years ago
65 views
Shared 3 years ago
104 views
Shared 3 years ago
1.4K views
Shared 3 years ago
103 views
Shared 3 years ago
338 views
Shared 3 years ago
122 views
Shared 3 years ago
755 views
Shared 3 years ago
110 views
Shared 3 years ago
775 views
Shared 3 years ago
96 views
Shared 3 years ago
64 views
Shared 3 years ago
100 views
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>
Invidious encountered an error while trying to parse this item. For more information see below:
Title: `Missing hash key: "collectionThumbnailViewModel" (KeyError)` Date: `2026-02-16T20:49:16Z` Route: `/channel/UC71OGU7PUjs2RCtpVGPwbdw` Version: `2026.02.07-118d635 @ (HEAD detached at v2.20260207.0)` <details> <summary>Backtrace</summary> <p> ``` Missing hash key: "collectionThumbnailViewModel" (KeyError) from /usr/share/crystal/src/hash.cr:1198:9 in '??' from /usr/share/crystal/src/json/any.cr:149:5 in 'process' from src/invidious/yt_backend/extractors.cr:524:17 in 'process' from src/invidious/yt_backend/extractors.cr:1035:17 in 'parse_item' from src/invidious/yt_backend/extractors.cr:1082:14 in 'extract_items' from src/invidious/channels/videos.cr:32:12 in 'get_60_videos:continuation:sort_by' from src/invidious/routes/channels.cr:56:36 in 'videos' from lib/kemal/src/kemal/route.cr:13:9 in '->' from src/invidious/helpers/handlers.cr:31:37 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from lib/kemal/src/kemal/filter_handler.cr:22:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/invidious/helpers/handlers.cr:80:12 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call_next' from src/ext/kemal_static_file_handler.cr:127:14 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/handler.cr:30:7 in 'call' from /usr/share/crystal/src/http/server/request_processor.cr:51:11 in 'handle_client' from /usr/share/crystal/src/fiber.cr:170:11 in 'run' from ??? ``` </p> </details>