Interpretation of Gregor Mendel's work has previously been based on study of his published paper "Experiments in Plant Hybridization." In contrast, the lectures that he gave preceding publication of this work have been largely neglected for more than 150 years. Here, we report on and interpret the content of Mendel's previous two lectures, as they were reported in a local newspaper. We comprehensively reference both the text of his paper and the historical background of his experiments. Our analysis shows that while Mendel had inherited the traditional research program on interspecific hybridization in plants, he introduced the novel method of ratio analysis for representing the variation of unit-characters among offspring of hybrids. His aim was to characterize and explain the developmental features of the distributional pattern of unit-characters in two series of hybrid experiments, using self-crosses and backcrosses with parents. In doing so, he not only answered the question of what the unit-characters were and the nature of their hierarchical classification, but also successfully inferred the numerical principle of unit-character transmission from generation to generation. He also established the nature of the composition and behaviors of reproductive cells from one generation to the next. Here we highlight the evidence from Mendel's lectures, clearly announcing that he had discovered the general law of cross-generation transmission of unit-characters through reproductive cells containing unit-factors. The recovered content of these previous lectures more accurately describes the work he performed with his garden peas than his published paper and shows how he first presented it in Brno. It is thus an invaluable resource for understanding the origin of the science of genetics.