8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. abc(m2 m2+m2 m2+m2 m2)÷9 R3(P2+P2+P2). abc(P+P+P)÷2(ab+ac+bc). abc R(P2+P2+P2)÷(a2b2+a2c2+b2c2). (rard+rare+rore) Tan A Tan B Tan C. ÷√6(P+P+P.). (a+b+c) (ab+ac+bc) (Sin‡A SinB Sin C)÷(P2+Pb+P.). ✔[aber(Sin2A+Sin2 B+Sin2 C)]÷√(32Sin}A Sin}B Sin1C) abc Sin A SinB Sin C÷4(a+b+c) (Sint A SinB Sin C). PPP.÷4(a+b+c) Sin A SinB Sin C. 4R2r(1+CosA) (1+CosB) (1+Cos C)÷(a+b+c). VPPP.(a+b+c)÷2√(SinA+SinB+SinC). (a+b+c)2 (SinA SinB Sin C)÷2(SinA+SinB+SinC)2. (a2+b2+c2) (SinA SinB SinC)÷2(Sin2A+Sin2B+Sin2C). abc(Sin A SinB+SinA Sin C+SinB SinC)÷2(P2+P+P.). 2RR1r(a+b+c) (3—Cos2A—Cos2B-Cos2C)÷(a2+b2+c2). R3 [2PPP(Sin2 A+Sin2B+Sin2C)]. Tarr.(TanA+Tan}B+Tan÷C)÷(ra+rp+rc). R2(3-Cos2 A-Cos2B-Cos2C)+(Cot A+ Cot B+CotC). r(r2+r+r)÷4R('Sin2 }A+{Sin2 }B+1Sin2 }C). BEN. FRANKLIN'S LETTER TO MR. STRAHAN. Abram Hall of West Chester, Pa., possesses an interesting relic of Benjamin Franklin, in the shape of a letter written by him to a member of the British Parliament. Mr. Hall found the letter several years ago among a lot of waste paper. It reads as follows: PHILADELPHIA, July 5, 1775 Mr. Strahan. You are a member of Parliament, and one of that majority which has doomed my country to destruction. You have begun to burn our town and murder our people. Look upon your hands. They are stained with the blood of your relations. You and I were long friends. You are now my enemy, and I am yours. B. FRANKLIN. |