These include: theoretical and practical arithmetic, summation of series, combinatorial analysis, the rule of three, irrational numbers, ratio theory, algebraic definitions, method of solving algebraic equations, geometry, Archimedes ' theorems, trisection of the angle and other problems which cannot be solved with ruler and compass alone, conic sections, stereometry, stereographic projection, trigonometry, the sine theorem in the plane, and solving spherical triangles.
Ang mga ito ay ang: panteorya at praktikal na arithmetic, pagbubuo ng serye, kombinatoryal pagtatasa, ang patakaran ng tatlong, hindi makatwiran numero, ratio teorya, algebraic kahulugan, paraan ng solving algebraic equation, geometry, Archimedes' theorems, trisection ng mga anggulo at iba pang mga problema na maaaring hindi ay malulutas na may palibot namumuno at nag-iisa, alimusod seksyon, stereometry, stereographic projection, trigonometrya, ang sain teorama sa eroplano, at solving pabilog triangles.