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+{"segments": [{"id": 1, "seek": 2133, "start": 0.69, "end": 21.33, "text": "بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم اليوم موضوعنا في ال Geometric Optics هو ال thick lenses او العدسات السميقة ال thin lens approximation is invalid in some clinical settings for example IOLs اللي ال intraocular lenses are treated as thick lenses", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 45595, 20498, 3714, 2407, 11242, 45367, 8315, 8978, 2423, 2876, 29470, 21455, 1167, 31439, 2423, 5060, 18059, 1975, 2407, 18863, 3215, 3794, 9307, 21136, 2304, 1829, 28671, 2423, 5862, 6765, 28023, 307, 34702, 294, 512, 9115, 6257, 337, 1365, 286, 5046, 82, 13672, 1829, 2423, 43358, 905, 1040, 18059, 366, 8668, 382, 5060, 18059], "avg_logprob": -0.21821489889327794, "compression_ratio": 1.6407766990291262, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 0.69, "end": 0.95, "word": "بسم", "probability": 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1.0}, {"id": 5, "seek": 11478, "start": 98.16, "end": 114.78, "text": "The combined power of a thick lens is not simply the sum of individual service powers يعني بنقولش في حالة ما يكون عندنا thick lens أنه قوة العدسة تساوي قوة السطح الأمامي زائد قوة السطح الخالفي", "tokens": [2278, 9354, 1347, 295, 257, 5060, 6765, 307, 406, 2935, 264, 2408, 295, 2609, 2643, 8674, 37495, 22653, 44945, 39648, 8592, 8978, 11331, 6027, 3660, 19446, 7251, 30544, 43242, 8315, 5060, 6765, 14739, 3224, 12174, 2407, 3660, 18863, 3215, 3794, 3660, 6055, 3794, 995, 45865, 12174, 2407, 3660, 21136, 9566, 5016, 16247, 2304, 10943, 1829, 30767, 16373, 3215, 12174, 2407, 3660, 21136, 9566, 5016, 33962, 6027, 41185], "avg_logprob": -0.15567555278539658, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 98.16, "end": 98.34, "word": "The", "probability": 0.69482421875}, {"start": 98.34, "end": 98.94, "word": " combined", "probability": 0.9443359375}, {"start": 98.94, "end": 99.34, "word": " power", 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P تعالي front ال power of the first lens service أو front lens service", "tokens": [4587, 2407, 3660, 24976, 3794, 9566, 5016, 16247, 2304, 10943, 1829, 4032, 4587, 2407, 3660, 24976, 3794, 9566, 5016, 33962, 6027, 41185, 4032, 4587, 2407, 3660, 5296, 2655, 17082, 1829, 13546, 21542, 6027, 3660, 16712, 8592, 2655, 2655, 10632, 11778, 47283, 1211, 18863, 3215, 3794, 3660, 6055, 17082, 1829, 13546, 21542, 6027, 3660, 16712, 8592, 2655, 2655, 10632, 11778, 47283, 1211, 18863, 3215, 3794, 3660, 11933, 15730, 2423, 430, 37279, 6027, 1829, 1868, 2423, 1347, 295, 264, 700, 6765, 2643, 34051, 1868, 6765, 2643], "avg_logprob": -0.17913603081422694, "compression_ratio": 1.9096774193548387, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 144.8, "end": 145.24, "word": "قوة", "probability": 0.6660868326822916}, {"start": 145.24, "end": 146.26, "word": " للسطح", "probability": 0.872802734375}, {"start": 146.26, "end": 146.98, "word": " الأمامي", "probability": 0.944091796875}, 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The thickness The lens thickness, of course, the equation is minus T over NL", "tokens": [3223, 584, 11, 700, 295, 439, 11, 264, 1347, 295, 264, 5003, 307, 787, 644, 295, 264, 6765, 420, 644, 295, 264, 3464, 295, 264, 6765, 300, 1985, 1854, 264, 6765, 281, 1319, 264, 18225, 399, 1785, 281, 8873, 309, 11, 309, 307, 15598, 382, 10002, 3175, 314, 670, 426, 43, 294, 264, 430, 295, 264, 1868, 294, 264, 430, 295, 264, 646, 708, 307, 4140, 538, 314, 30, 440, 14855, 440, 6765, 14855, 11, 295, 1164, 11, 264, 5367, 307, 3175, 314, 670, 426, 43], "avg_logprob": -0.4392959729008291, "compression_ratio": 1.8208955223880596, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 211.16, "end": 211.42, "word": "You", "probability": 0.2288818359375}, {"start": 211.42, "end": 211.7, "word": " say,", "probability": 0.71875}, {"start": 211.8, "end": 211.94, "word": " first", "probability": 0.60498046875}, {"start": 211.94, "end": 212.16, "word": " of", "probability": 0.58203125}, {"start": 212.16, 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333.15, "end": 333.25, "word": " the", "probability": 0.8525390625}, {"start": 333.25, "end": 333.91, "word": " thick", "probability": 0.77294921875}, {"start": 333.91, "end": 333.91, "word": " lens", "probability": 0.85546875}], "temperature": 1.0}, {"id": 16, "seek": 36429, "start": 335.71, "end": 364.29, "text": "equal to the power of the front plus the power of the back plus the power of the transfer this power of the transfer is calculated by the high equation minus T over NL in the power of the front in the power of the back now we want to remove from the high equation the Pt and get rid of it by its value in equation number two that is, we take from equation number two and put in equation number one to the power of the transfer", "tokens": [12816, 304, 281, 264, 1347, 295, 264, 1868, 1804, 264, 1347, 295, 264, 646, 1804, 264, 1347, 295, 264, 5003, 341, 1347, 295, 264, 5003, 307, 15598, 538, 264, 1090, 5367, 3175, 314, 670, 426, 43, 294, 264, 1347, 295, 264, 1868, 294, 264, 1347, 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The powers of the front and back surfaces are calculated by the diopters. Let's take an example of that. Let's say we have a thick lens. The front surface is 5 diopters and the back surface is 10 diopters. 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"word": " front", "probability": 0.5380859375}, {"start": 440.99, "end": 440.99, "word": " surface", "probability": 0.75830078125}, {"start": 440.99, "end": 441.23, "word": " has", "probability": 0.65771484375}, {"start": 441.23, "end": 441.33, "word": " a", "probability": 0.72802734375}, {"start": 441.33, "end": 441.45, "word": " force", "probability": 0.407958984375}, {"start": 441.45, "end": 441.59, "word": " of", "probability": 0.9365234375}, {"start": 441.59, "end": 441.93, "word": " 5", "probability": 0.73095703125}, {"start": 441.93, "end": 442.51, "word": " diopters", "probability": 0.7377115885416666}, {"start": 442.51, "end": 442.75, "word": " plus", "probability": 0.379638671875}, {"start": 442.75, "end": 443.21, "word": " 5", "probability": 0.833984375}], "temperature": 1.0}, {"id": 20, "seek": 48116, "start": 454.0, "end": 481.16, "text": "والسطح الخالفي plus 10 إيش اللي بيحدد قوة السطح الأمامي وقوة السطح الخالفي؟ التشتت تعدو اللي جاي من ال object التشتت تعدو اللي جاي من 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the lens if it does not remain or if it remains with minus to the back surface So what determines the strength of the surfaces is the refractive state of the light Now I have a lens whose strength is the front surface plus five diopters The back surface is ten diopters The thickness is one centimeter, one centimeter", "tokens": [3522, 486, 6222, 490, 264, 1347, 295, 264, 6765, 498, 309, 775, 406, 6222, 420, 498, 309, 7023, 365, 3175, 281, 264, 646, 3753, 407, 437, 24799, 264, 3800, 295, 264, 16130, 307, 264, 45353, 488, 1785, 295, 264, 1442, 823, 286, 362, 257, 6765, 6104, 3800, 307, 264, 1868, 3753, 1804, 1732, 1026, 404, 1559, 440, 646, 3753, 307, 2064, 1026, 404, 1559, 440, 14855, 307, 472, 31914, 11, 472, 31914], "avg_logprob": -0.5954623352991392, "compression_ratio": 1.881720430107527, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 481.66, "end": 481.78, "word": "It", "probability": 0.255615234375}, {"start": 481.78, "end": 482.12, "word": " will", "probability": 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centimeter,", "probability": 0.849609375}, {"start": 506.24, "end": 506.68, "word": " one", "probability": 0.92041015625}, {"start": 506.68, "end": 507.34, "word": " centimeter", "probability": 0.9384765625}], "temperature": 1.0}, {"id": 22, "seek": 53312, "start": 509.62, "end": 533.12, "text": "The thickness of the lens is 1 cm from the front surface of the lens to the back surface of the lens, which is considered a thick lens The refractive index of the glass is 1.5 We want to calculate its final force, which is calculated by the following equation", "tokens": [2278, 14855, 295, 264, 6765, 307, 502, 14668, 490, 264, 1868, 3753, 295, 264, 6765, 281, 264, 646, 3753, 295, 264, 6765, 11, 597, 307, 4888, 257, 5060, 6765, 440, 45353, 488, 8186, 295, 264, 4276, 307, 502, 13, 20, 492, 528, 281, 8873, 1080, 2572, 3464, 11, 597, 307, 15598, 538, 264, 3480, 5367], "avg_logprob": -0.5025111351694379, "compression_ratio": 1.6496815286624205, "no_speech_prob": 1.7881393432617188e-07, "words": 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"probability": 0.3203125}, {"start": 516.18, "end": 516.2, "word": " the", "probability": 0.7177734375}, {"start": 516.2, "end": 516.6, "word": " lens", "probability": 0.5546875}, {"start": 516.6, "end": 517.26, "word": " to", "probability": 0.58056640625}, {"start": 517.26, "end": 517.96, "word": " the", "probability": 0.85546875}, {"start": 517.96, "end": 518.22, "word": " back", "probability": 0.56298828125}, {"start": 518.22, "end": 518.24, "word": " surface", "probability": 0.642578125}, {"start": 518.24, "end": 518.4, "word": " of", "probability": 0.73291015625}, {"start": 518.4, "end": 518.94, "word": " the", "probability": 0.9013671875}, {"start": 518.94, "end": 518.94, "word": " lens,", "probability": 0.9013671875}, {"start": 519.02, "end": 519.16, "word": " which", "probability": 0.5498046875}, {"start": 519.16, "end": 519.46, "word": " is", "probability": 0.7783203125}, {"start": 519.46, "end": 519.62, "word": " considered", "probability": 0.54052734375}, {"start": 519.62, 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"probability": 0.32568359375}, {"start": 527.88, "end": 528.12, "word": " want", "probability": 0.2509765625}, {"start": 528.12, "end": 528.28, "word": " to", "probability": 0.9697265625}, {"start": 528.28, "end": 528.52, "word": " calculate", "probability": 0.7958984375}, {"start": 528.52, "end": 529.14, "word": " its", "probability": 0.681640625}, {"start": 529.14, "end": 529.7, "word": " final", "probability": 0.435546875}, {"start": 529.7, "end": 529.96, "word": " force,", "probability": 0.49072265625}, {"start": 530.0, "end": 531.28, "word": " which", "probability": 0.6884765625}, {"start": 531.28, "end": 531.54, "word": " is", "probability": 0.80615234375}, {"start": 531.54, "end": 531.82, "word": " calculated", "probability": 0.89111328125}, {"start": 531.82, "end": 531.96, "word": " by", "probability": 0.47216796875}, {"start": 531.96, "end": 532.1, "word": " the", "probability": 0.7412109375}, {"start": 532.1, "end": 533.12, "word": " following", "probability": 0.77099609375}, {"start": 533.12, "end": 533.12, "word": " equation", "probability": 0.9765625}], "temperature": 1.0}, {"id": 23, "seek": 54716, "start": 539.51, "end": 547.17, "text": "We bring the equation and say that the power of transfer is negative T over NL", "tokens": [4360, 1565, 264, 5367, 293, 584, 300, 264, 1347, 295, 5003, 307, 3671, 314, 670, 426, 43], "avg_logprob": -0.6788194444444444, "compression_ratio": 1.054054054054054, "no_speech_prob": 2.1457672119140625e-06, "words": [{"start": 539.51, "end": 539.71, "word": "We", "probability": 0.1795654296875}, {"start": 539.71, "end": 539.93, "word": " bring", "probability": 0.2164306640625}, {"start": 539.93, "end": 540.09, "word": " the", "probability": 0.66455078125}, {"start": 540.09, "end": 540.45, "word": " equation", "probability": 0.93701171875}, {"start": 540.45, "end": 540.69, "word": " and", "probability": 0.452392578125}, {"start": 540.69, "end": 541.11, "word": " say", "probability": 0.70166015625}, {"start": 541.11, "end": 542.31, "word": " that", "probability": 0.343017578125}, {"start": 542.31, "end": 542.37, "word": " the", "probability": 0.64501953125}, {"start": 542.37, "end": 542.65, "word": " power", "probability": 0.6103515625}, {"start": 542.65, "end": 542.83, "word": " of", "probability": 0.427978515625}, {"start": 542.83, "end": 543.61, "word": " transfer", "probability": 0.4111328125}, {"start": 543.61, "end": 544.11, "word": " is", "probability": 0.71044921875}, {"start": 544.11, "end": 545.65, "word": " negative", "probability": 0.288818359375}, {"start": 545.65, "end": 546.17, "word": " T", "probability": 0.5810546875}, {"start": 546.17, "end": 546.49, "word": " over", "probability": 0.35498046875}, {"start": 546.49, "end": 547.17, "word": " NL", "probability": 0.65283203125}], "temperature": 1.0}, {"id": 24, "seek": 57184, "start": 548.66, "end": 571.84, "text": "Minus T over NL in the power of the front in the power of the back Note that we are still only calculating the power of the transfer That is, the amount of the power of the lens that will be consumed to change the polarity of the light inside the lens We have not yet calculated the total power of the lens yet The power of the transfer is equal to minus T", "tokens": [30031, 301, 314, 670, 426, 43, 294, 264, 1347, 295, 264, 1868, 294, 264, 1347, 295, 264, 646, 11633, 300, 321, 366, 920, 787, 28258, 264, 1347, 295, 264, 5003, 663, 307, 11, 264, 2372, 295, 264, 1347, 295, 264, 6765, 300, 486, 312, 21226, 281, 1319, 264, 12367, 507, 295, 264, 1442, 1854, 264, 6765, 492, 362, 406, 1939, 15598, 264, 3217, 1347, 295, 264, 6765, 1939, 440, 1347, 295, 264, 5003, 307, 2681, 281, 3175, 314], "avg_logprob": -0.42128163425228266, "compression_ratio": 2.0112994350282487, "no_speech_prob": 4.172325134277344e-06, "words": [{"start": 548.6600000000001, "end": 549.22, "word": "Minus", "probability": 0.54241943359375}, {"start": 549.22, "end": 549.48, "word": " T", "probability": 0.74462890625}, {"start": 549.48, "end": 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hundred meters which is one centimeter on the refractive index one and a half in the power of the front which is five diopters", "tokens": [3322, 14855, 322, 426, 43, 597, 307, 264, 45353, 488, 8186, 295, 264, 6765, 294, 264, 1347, 295, 264, 1868, 294, 264, 1347, 295, 264, 646, 293, 309, 6915, 264, 14855, 3175, 314, 486, 3175, 472, 295, 472, 3262, 8146, 597, 307, 472, 31914, 322, 264, 45353, 488, 8186, 472, 293, 257, 1922, 294, 264, 1347, 295, 264, 1868, 597, 307, 1732, 1026, 404, 1559], "avg_logprob": -0.3927556831728328, "compression_ratio": 1.9932885906040267, "no_speech_prob": 5.543231964111328e-06, "words": [{"start": 571.99, "end": 572.37, "word": "the", "probability": 0.201904296875}, {"start": 572.37, "end": 572.75, "word": " thickness", "probability": 0.7509765625}, {"start": 572.75, "end": 573.01, "word": " on", "probability": 0.285888671875}, {"start": 573.01, "end": 573.67, "word": " NL", "probability": 0.4774169921875}, {"start": 573.67, "end": 574.25, "word": " which", 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80791, "start": 791.65, "end": 807.91, "text": "لو قلنا إنه في عنا عدسة مشابهة قوتها الأمامية plus 5 ديوبتر و قوتها الخلفية plus 10 ديوبتر و هذه العدسة thin limbs كان قوتها plus 15 ديوبتر إذا العدسة", "tokens": [1211, 2407, 12174, 1211, 8315, 36145, 3224, 8978, 6225, 8315, 6225, 3215, 3794, 3660, 37893, 16758, 3224, 3660, 12174, 35473, 11296, 16247, 2304, 10943, 10632, 1804, 1025, 11778, 1829, 37746, 2655, 2288, 4032, 12174, 35473, 11296, 33962, 46538, 10632, 1804, 1266, 11778, 1829, 37746, 2655, 2288, 4032, 29538, 18863, 3215, 3794, 3660, 5862, 29315, 25961, 12174, 35473, 11296, 1804, 2119, 11778, 1829, 37746, 2655, 2288, 11933, 15730, 18863, 3215, 3794, 3660], "avg_logprob": -0.2424045116123226, "compression_ratio": 1.6554054054054055, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 791.65, "end": 791.95, "word": "لو", "probability": 0.529083251953125}, {"start": 791.95, "end": 792.29, "word": " قلنا", "probability": 0.7267252604166666}, {"start": 792.29, "end": 792.53, 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That is, if I have a lens with the same characteristics, but not a thick lens, but a thin lens, what does it mean by the same characteristics? 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course also the media that contains the image, which is air is also 1 over power 25 centimeters. Why do I give it a plus sign? Because it is on the right of the optical system, on the right of the optical system. 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{"start": 1068.83, "end": 1069.23, "word": " posterior", "probability": 0.81494140625}, {"start": 1069.23, "end": 1069.67, "word": " focal", "probability": 0.93115234375}, {"start": 1069.67, "end": 1069.99, "word": " length,", "probability": 0.841796875}, {"start": 1069.99, "end": 1070.47, "word": " I", "probability": 0.978515625}, {"start": 1070.47, "end": 1070.93, "word": " divide", "probability": 0.892578125}, {"start": 1070.93, "end": 1071.35, "word": " the", "probability": 0.767578125}, {"start": 1071.35, "end": 1071.95, "word": " refractive", "probability": 0.96484375}, {"start": 1071.95, "end": 1072.33, "word": " index", "probability": 0.896484375}, {"start": 1072.33, "end": 1072.75, "word": " by", "probability": 0.452880859375}, {"start": 1072.75, "end": 1073.15, "word": " the", "probability": 0.865234375}, {"start": 1073.15, "end": 1073.59, "word": " power", "probability": 0.6201171875}, {"start": 1073.59, "end": 1073.59, "word": " of", "probability": 0.96337890625}, {"start": 1073.59, "end": 1073.59, "word": " the", "probability": 0.88671875}, {"start": 1073.59, "end": 1073.61, "word": " object", "probability": 0.6806640625}], "temperature": 1.0}, {"id": 47, "seek": 110006, "start": 1073.94, "end": 1100.06, "text": "for any optical system, the distance from the anterior principal point to the anterior nodal point is always equal to the distance from the posterior principal point to the posterior nodal point", "tokens": [2994, 604, 20674, 1185, 11, 264, 4560, 490, 264, 22272, 9716, 935, 281, 264, 22272, 15224, 304, 935, 307, 1009, 2681, 281, 264, 4560, 490, 264, 33529, 9716, 935, 281, 264, 33529, 15224, 304, 935], "avg_logprob": -0.23654513474967745, "compression_ratio": 1.94, "no_speech_prob": 4.470348358154297e-06, "words": [{"start": 1073.94, "end": 1074.2, "word": "for", "probability": 0.0548095703125}, {"start": 1074.2, "end": 1081.92, "word": " any", "probability": 0.49951171875}, {"start": 1081.92, "end": 1086.38, "word": " optical", "probability": 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0.97314453125}, {"start": 1092.1, "end": 1093.54, "word": " point", "probability": 0.888671875}, {"start": 1093.54, "end": 1093.82, "word": " is", "probability": 0.859375}, {"start": 1093.82, "end": 1094.32, "word": " always", "probability": 0.86083984375}, {"start": 1094.32, "end": 1094.9, "word": " equal", "probability": 0.904296875}, {"start": 1094.9, "end": 1095.44, "word": " to", "probability": 0.9501953125}, {"start": 1095.44, "end": 1095.62, "word": " the", "probability": 0.9150390625}, {"start": 1095.62, "end": 1096.06, "word": " distance", "probability": 0.93310546875}, {"start": 1096.06, "end": 1096.34, "word": " from", "probability": 0.8525390625}, {"start": 1096.34, "end": 1096.54, "word": " the", "probability": 0.8798828125}, {"start": 1096.54, "end": 1096.98, "word": " posterior", "probability": 0.86572265625}, {"start": 1096.98, "end": 1097.5, "word": " principal", "probability": 0.76416015625}, {"start": 1097.5, "end": 1098.14, "word": " point", "probability": 0.9716796875}, {"start": 1098.14, "end": 1098.56, "word": " to", "probability": 0.96337890625}, {"start": 1098.56, "end": 1098.74, "word": " the", "probability": 0.90478515625}, {"start": 1098.74, "end": 1099.24, "word": " posterior", "probability": 0.78759765625}, {"start": 1099.24, "end": 1099.72, "word": " nodal", "probability": 0.973388671875}, {"start": 1099.72, "end": 1100.06, "word": " point", "probability": 0.97265625}], "temperature": 1.0}, {"id": 48, "seek": 110516, "start": 1100.18, "end": 1105.16, "text": "We see this in drawing, we say I have anterior nodal point and posterior nodal point", "tokens": [4360, 536, 341, 294, 6316, 11, 321, 584, 286, 362, 22272, 15224, 304, 935, 293, 33529, 15224, 304, 935], "avg_logprob": -0.46835937201976774, "compression_ratio": 1.1830985915492958, "no_speech_prob": 0.0, "words": [{"start": 1100.18, "end": 1100.32, "word": "We", "probability": 0.2237548828125}, {"start": 1100.32, "end": 1100.48, "word": " see", "probability": 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So if this distance is three millimeters, this distance must be three millimeters. If this distance is zero, meaning that the two points are adjacent, this distance must be zero. If this distance is centimeters, this distance must be centimeters. So always and never.", "tokens": [5289, 264, 22272, 9716, 935, 1355, 300, 341, 4560, 307, 1009, 293, 1128, 2681, 281, 264, 4560, 1296, 264, 33529, 15224, 304, 935, 293, 264, 33529, 9716, 935, 13, 407, 498, 341, 4560, 307, 1045, 24388, 11, 341, 4560, 1633, 312, 1045, 24388, 13, 759, 341, 4560, 307, 4018, 11, 3620, 300, 264, 732, 2793, 366, 24441, 11, 341, 4560, 1633, 312, 4018, 13, 759, 341, 4560, 307, 23300, 11, 341, 4560, 1633, 312, 23300, 13, 407, 1009, 293, 1128, 13], "avg_logprob": -0.3271722542803462, "compression_ratio": 2.408839779005525, "no_speech_prob": 5.543231964111328e-06, "words": [{"start": 1133.59, "end": 1133.81, "word": "And", "probability": 0.30029296875}, {"start": 1133.81, "end": 1133.91, "word": " the", "probability": 0.4072265625}, {"start": 1133.91, "end": 1134.39, "word": " anterior", "probability": 0.90380859375}, {"start": 1134.39, "end": 1134.99, "word": " principal", "probability": 0.666015625}, {"start": 1134.99, "end": 1135.41, "word": " point", 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How do I calculate the distance between one of these pairs?", "tokens": [2278, 4560, 1296, 22272, 15224, 304, 935, 293, 22272, 9716, 935, 307, 2681, 281, 264, 4560, 1296, 33529, 15224, 304, 935, 293, 33529, 9716, 935, 639, 307, 257, 588, 665, 935, 13, 1012, 360, 286, 8873, 264, 4560, 1296, 472, 295, 613, 15494, 30], "avg_logprob": -0.36666666666666664, "compression_ratio": 1.9206349206349207, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 1159.02, "end": 1159.3, "word": "The", "probability": 0.5224609375}, {"start": 1159.3, "end": 1159.68, "word": " distance", "probability": 0.91162109375}, {"start": 1159.68, "end": 1159.98, "word": " between", "probability": 0.88427734375}, {"start": 1159.98, "end": 1160.56, "word": " anterior", "probability": 0.68896484375}, {"start": 1160.56, "end": 1162.82, "word": " nodal", "probability": 0.82568359375}, {"start": 1162.82, "end": 1163.12, "word": " point", "probability": 0.92919921875}, {"start": 1163.12, "end": 1163.22, "word": " 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So the distance between the principal and nodal points between the principal and nodal points is equal to AFL plus PFL minus twenty centimeters plus twenty centimeters is equal to zero. 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