"用类推的方法" can be translated into English as "by the method of analogy" or more naturally as "through analogy" or "by analogy".
"By the method of analogy" emphasizes the use of a specific approach (analogy) for reasoning or deduction.
"Through analogy" or "By analogy" are more concise and commonly used in everyday or academic contexts to convey the idea of drawing parallels or making inferences based on similarities.
Choose the phrase that best fits the context and tone of your sentence. For example:
"We can understand this complex concept by analogy to a simpler one."
"He explained the theory through analogy using everyday examples."