It says that MIPS is a type of RISC. What is the history? Are both formats / instruction models / programming models, how to tell MIPS from RISC? Is RISC a wider concept?
Yes. RISC is a wider concept. MIPS is RISC (Reduced Instruction Set Chip) architecture. Reduced (RISC) architectures tend to be simpler and have a small number of operations. Complex (CISC) architectures like x86 have more instructions, some of which take the place of a sequence of RISC instructions.