{"query": "The radio horizon — why towers are tall", "count": 20, "results": [{"id": "card_n_9ab6ee5e792c", "title": "The radio horizon — why towers are tall", "shelf": "science", "surface": "secular", "snippet": "Pure geometry, sealed: from height h the horizon lies at √(2hR) — a 100 m tower\nreaches 35,695 m ≈ 35.7 km: https://narrowhighway.com/s/d6211f4efb2518c6de145decf57f27b131a01c24ce7841853f395b7bc986c323"}, {"id": "card_n_51ecbfa0bb5a", "title": "The radio spectrum — one law from the cavity to the eye", "shelf": "science", "surface": "secular", "snippet": "Walk the dial upward and nothing changes but the number: λ·f = c the whole\nway. Twelve rungs sealed in ONE receipt: https://narrowhighway.com/s/d6211f4efb2518c6de145decf57f27b131a01c24ce7841853f395b7b"}, {"id": "card_c_3b5a0c22487b", "title": "The radio horizon instantiates the spectrum walk", "shelf": "connections", "surface": null, "snippet": "One band of the sealed spectrum walk."}, {"id": "card_n_73d989606f90", "title": "Radio-wave production — the chain leaves the bench", "shelf": "science", "surface": "secular", "snippet": "Drive an antenna with the oscillator and the wave departs at c: λ = c/f — sealed:\nthe 1.591 MHz LC wave is ≈ 188 m long (floor(c·2π·10⁻⁷) = 188): https://narrowhighway.com/s/1ee0d3ed486453eee0967146a5"}, {"id": "card_n_0de24f52987b", "title": "Psalm 43 — Psalm 43", "shelf": "codex", "surface": "witness", "snippet": "Vindicate me, God, and plead my cause against an ungodly nation. Oh, deliver me from deceitful and wicked men. For you are the God of my strength. Why have you rejected me? Why do I go mourning becaus"}, {"id": "card_n_37d789e01081", "title": "Augustine, Confessions §aug_conf_13_038: But they are fed by these fruits, that are delighted with them; nor are they ...", "shelf": "classics", "surface": "witness", "snippet": "But they are fed by these fruits, that are delighted with them; nor are they delighted with them, whose God is their belly. For neither in them that yield them, are the things yielded the fruit, but w"}, {"id": "card_n_15bc196ee012", "title": "Aurelius, Meditations §aur_05_xii: What those things are in themselves, which by the greatest part are esteemed ...", "shelf": "classics", "surface": "secular", "snippet": "What those things are in themselves, which by the greatest part are esteemed good, thou mayest gather even from this. For if a man shall hear things mentioned as good, which are really good indeed, su"}, {"id": "card_n_46f97e36443f", "title": "Matthew 5", "shelf": "codex", "surface": "witness", "snippet": "1. Seeing the multitudes, he went up onto the mountain. When he had sat down, his disciples came to him.\n2. He opened his mouth and taught them, saying,\n3. “Blessed are the poor in spirit, for theirs "}, {"id": "card_n_b9cbc4c75cf5", "title": "Psalm 10 — Psalm 10", "shelf": "codex", "surface": "witness", "snippet": "Why do you stand far off, Yahweh? Why do you hide yourself in times of trouble? In arrogance, the wicked hunt down the weak. They are caught in the schemes that they devise. For the wicked boasts of h"}, {"id": "card_n_1c110bca64f3", "title": "Barnabas VIII", "shelf": "patristics", "surface": "witness", "snippet": "Now what do you suppose this to be a type of, that a command was given to Israel, that men of the greatest wickedness should offer a heifer, and slay and burn it, and that then boys should take the as"}, {"id": "card_n_158be448b164", "title": "Easton: Works, Good", "shelf": "dictionary", "surface": "secular", "snippet": "The old objection against the doctrine of salvation by grace, that it does away with the necessity of good works, and lowers the sense of their importance (Rom. 6), although it has been answered a tho"}, {"id": "card_n_d3713f9f17e9", "title": "Imitation of Christ §imit_02_10: Why seekest thou rest when thou art born to labour?", "shelf": "classics", "surface": "witness", "snippet": "Why seekest thou rest when thou art born to labour? Prepare thyself for patience more than for comforts, and for bearing the cross more than for joy. For who among the men of this world would not glad"}, {"id": "card_n_4e58e46e878d", "title": "Imitation of Christ §imit_03_01: I will hearken what the Lord God shall say within me.(1) Blessed is the soul ...", "shelf": "classics", "surface": "witness", "snippet": "I will hearken what the Lord God shall say within me.(1) Blessed is the soul which heareth the Lord speaking within it, and receiveth the word of consolation from His mouth. Blessed are the ears which"}, {"id": "card_n_d4adab7c0285", "title": "Pilgrim's Progress §250: Well, when they had, as I said, thus saluted each other, Mr.", "shelf": "classics", "surface": "secular", "snippet": "Well, when they had, as I said, thus saluted each other, Mr. Money-love said to Mr. By-ends, Who are they upon the road before us? (for Christian and Hopeful were yet within view). By-ends' character "}, {"id": "card_n_4a192cae2d55", "title": "Aurelius, Meditations §aur_06_xiii: Those things which the common sort of people do admire, are most of them such...", "shelf": "classics", "surface": "secular", "snippet": "Those things which the common sort of people do admire, are most of them such things as are very general, and may be comprehended under things merely natural, or naturally affected and qualified: as s"}, {"id": "card_n_1908ae730720", "title": "Aurelius, Meditations §aur_06_viii: According to the nature of the universe all things particular are determined,...", "shelf": "classics", "surface": "secular", "snippet": "According to the nature of the universe all things particular are determined, not according to any other nature, either about compassing and containing; or within, dispersed and contained; or without,"}, {"id": "card_n_a735e61f7ca1", "title": "Shortwave (HF) — around the world on the ionosphere's mirror", "shelf": "science", "surface": "secular", "snippet": "3–30 MHz; the 19 m band's wavelength seals at 15 MHz: https://narrowhighway.com/s/d6211f4efb2518c6de145decf57f27b131a01c24ce7841853f395b7bc986c323 . Here the ionosphere's\nF-layer refracts waves back t"}, {"id": "card_n_024000713286", "title": "Imitation of Christ §imit_04_01: The Voice of the Disciple These are Thy words, O Christ, Eternal Truth; thoug...", "shelf": "classics", "surface": "witness", "snippet": "The Voice of the Disciple These are Thy words, O Christ, Eternal Truth; though not uttered at one time nor written together in one place of Scripture. Because therefore they are Thy words and true, I "}, {"id": "card_n_ba6d9264fa3c", "title": "AM broadcast (medium wave) — where the dial begins", "shelf": "science", "surface": "secular", "snippet": "530–1700 kHz; sealed wavelengths 565 m down to 176 m: https://narrowhighway.com/s/d6211f4efb2518c6de145decf57f27b131a01c24ce7841853f395b7bc986c323 . The waves are so long\nthat the TOWER is the antenna"}, {"id": "card_n_47d53c1177e0", "title": "Imitation of Christ §imit_03_58: “My Son, beware thou dispute not of high matters and of the hidden judgments ...", "shelf": "classics", "surface": "witness", "snippet": "“My Son, beware thou dispute not of high matters and of the hidden judgments of God; why this man is thus left, and that man is taken into so great favour; why also this man is so greatly afflicted, a"}]}