[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Indian Mathematics](https://indike.org/pramana/ins.science.kaye-1915) › c7.30 # Indian Mathematics c7.30 Indian Mathematics c7.30 - **Language:** English ### [c7.30](https://indike.org/pramana/ins.science.kaye-1915.c7.30) \*(1) ax ± by = c (2) ax + by + cz + ... = l (3) x a₁ Mod. b₁ ... a₄ Mod. b₄ (4) Ax + By + Cxy = D (5) Du² + 1 = t² (6) Du² - 1 = t² (7) Du² ± s = t² (8) D²u² ± s = t² (9) u² + s = at² (10) Du² ± au = t² (11) s - Du² = t² (12) Du + s = t² (13) x ± a = s², x ± b = t² (14) ax+1=s², bx+a=t² (15) 2(x²-y²)+3=s², 3(x²-y²)+3=t² (16) ax²+by²=s², ax²-by²+1=t² (17) x²+y²± 1=s², x²-y²± 1=t² (18) x²-a x²-b 0 Mod. c (19) ax²+b 0 Mod. c (20) x+y=s², x-y=t², xy=u³ (21) x³+y³=s², x²+y²=t³ (22) x-y=s³, x²+y²=t³ (23) x+y=s², x³+y²=t² (24) x³+y²+xy=s², (x+y)s+1=t² (25) ax+1=s³, as²+1=t² (26) wxyz=a(w+x+y+z) (27) x³-a 0 Mod. b (28) x+y+3=s², x-y+3=t², x²+y²-4=u², x²-y²+12=v², xy/2+y=w³, s+t+u+v+w+2=z² (29) \[3\](xy+y)/2+√(x²+y²)+√(x+y+2)+√(x-y+2)+ √(x²-y²+8)=t² (30) w+2=a², x+2=b², y+2=c², z+2=d², wx+18=e², xy+18=f², yz+18=g², a+b+c+d+e+f+g+11=13. - [Previous: c7.29](https://indike.org/pramana/ins.science.kaye-1915.c7.29) - [Next: c7.31](https://indike.org/pramana/ins.science.kaye-1915.c7.31) - [Up: c7](https://indike.org/pramana/ins.science.kaye-1915.c7) --- Source: [https://indike.org/pramana/ins.science.kaye-1915.c7.30](https://indike.org/pramana/ins.science.kaye-1915.c7.30) · Pramāṇa