Talmud for Rosh Hashanah 47:15
ר"א [בר"ש] אומר בין כך ובין כך אין מקדשין אותו שנאמר (ויקרא כה, י) וקדשתם את שנת החמשים שנים אתה מקדש ואי אתה מקדש חדשים א"ר יהודה אמר שמואל הלכה כר' אלעזר בר' צדוק
[For otham] read attem.<span class="x" onmousemove="('comment',' Lit., 'you', implying that the public should join in the proclamation.');"><sup>15</sup></span> R'Nahman B'Isaac said, [we learn it from here]: Even these [hem] are my appointed seasons;<span class="x" onmousemove="('comment',' Ibid. 2. ov');"><sup>16</sup></span>
Jerusalem Talmud Rosh Hashanah
“To its North or its South?” There are Tannaim who state, “to its North” his words are accepted. There are Tannaim who state, “to its South” his words are accepted. He who said, “to its North” his words are accepted, from Ṭevet to Tamuz; he who said, “to its South” his words are accepted, from Tamuz to Ṭevet91The Babli 24a makes the changeover at the equinoxes, not the solstices. Ptolemy’s solar and lunar tables make such general statements unnecessary..
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