MENELAI SPHAERICORUM LIBRI III¶
On Intrinsic Spherical Triangles, Rising-Time Arc Inequalities, and the Planar & Spherical Transversal Theorem
SymPy / geometor.model CommentaryConspectus Totius Operis¶
(Analytical Table of Contents)
UNIT I — BOOK I: INTRINSIC SPHERICAL TRIANGLES, CONGRUENCE & EXCESS¶
(LIBER PRIMUS — Praefatio Costardi [pp. i–viii]; Definitiones I–VI & Propositiones I.1, I.4–5, I.8–11, I.14–17, I.21 [Halley pp. 1–47])
UNIT II — BOOK II: SPHERICAL ARCS, GREAT CIRCLES & RISING-TIME INEQUALITIES¶
(LIBER SECUNDUS — Propositiones II.1, II.6–12 [Halley pp. 48–79] & Pappus Synagoge VI Witnesses)
UNIT III — BOOK III (PART 1): THEOREM OF MENELAUS, CHORDS OF DOUBLE ARCS & SINES¶
(LIBER TERTIUS, PARS I — Prop. III.1, Scholion Halleii, Lemmata I–II, Syntaxis I.13 Graece & Prop. III.2–5 [Halley pp. 80–90; Heiberg pp. 68–76])
UNIT IV — BOOK III (PART 2): ANHARMONIC CROSS-RATIO, ALTITUDES & PROJECTIVE LEGACY¶
(LIBER TERTIUS, PARS II — Propositiones III.6–10 [Halley pp. 91–97], Converse of Menelaus & Ceva–Menelaus Duality)
Apparatus Criticus et Concordantia¶
Bibliographia et Fontes — Public-Domain Critical Editions & Studies (18 Entries)
Index Nominum — Biographical Register of Geometers, Translators & Editors (22 Persons)
Glossarium Technicum — Greek, Latin, Arabic, Hebrew & Projective Lexicon (15 Terms)