{"id":"W2932806871","doi":"10.5539/apr.v11n2p56","title":"Galileo’s Parabola Observed from Pappus’ Directrix, Apollonius’ Pedal Curve (Line), Galileo’s Empty Focus, Newton’s Evolute, Leibniz’s Subtangent and Subnormal, Ptolemy’s Circle (Hodograph), and Dürer-Simon Parabola (16.03.2019)","year":2019,"lang":"en","type":"article","venue":"Applied Physics Research","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Parabola; Galileo (satellite navigation); Conic section; Physics; Mathematics; Geometry; Geodesy; Geology","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007810447,0.000602893,0.0009037292,0.0001242467,0.0006771605,0.0003531811,0.0006321148,0.0001940696,0.0004079192],"category_scores_gemma":[0.0000190372,0.0005978215,0.0002135851,0.0009567324,0.0005428775,0.0003798148,0.0006084087,0.001094238,0.0003430966],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009017717,"about_ca_system_score_gemma":0.0001589659,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00223469,"about_ca_topic_score_gemma":0.000091139,"domain_scores_codex":[0.9954571,0.0002341137,0.0006821744,0.001314587,0.0009575954,0.001354462],"domain_scores_gemma":[0.9964881,0.001113028,0.000262165,0.001264214,0.0002924663,0.0005800303],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003951084,0.00115946,0.04778446,0.0001711671,0.0004840685,0.000003267549,0.001026268,0.0001323919,0.02655919,0.8621244,0.005549906,0.05461034],"study_design_scores_gemma":[0.003625984,0.0002298875,0.01899369,0.0001222987,0.0001473501,0.000001341446,0.002530745,0.001898343,0.03241191,0.9154735,0.02305953,0.001505466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9547666,0.001347155,0.0186986,0.0005880797,0.0001446638,0.002877347,0.0008445855,0.0001765074,0.02055641],"genre_scores_gemma":[0.9948475,0.0002531019,0.001763872,0.00004657179,0.0006989688,0.000709823,0.0004674272,0.0001278951,0.001084812],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05334907,"threshold_uncertainty_score":0.9996473,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05083219634810972,"score_gpt":0.3274392540474704,"score_spread":0.2766070576993607,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}