Inventum radium globi (sphaerae) regulari pyramidis inscriptae

Haec publication exhibet formulas quae adhiberi possunt ad inveniendum radium globi (sphaerae) regulari pyramidis inscriptum: triangularibus, quadrangularibus, sexangulis et tetraedris.

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Formulae computandi semidiametri globi (sphaerae)

Indicium infra tantum valet. Formula inveniendi radium a typo figurae dependet, considera optiones maxime communes.

regularis pyramidis triangularis

Inventum radium globi (sphaerae) regulari pyramidis inscriptae

Ad imaginem:

  • a - extrema basin pyramidis sunt segmenta aequalia AB, AC и BC;
  • DE - summa pyramidis (h).

Si valores harum quantitatum cognoscuntur, tunc invenias semidiametrum (r) pila inscripta / forma sphaerae dari potest:

Inventum radium globi (sphaerae) regulari pyramidis inscriptae

Casus specialis regularis pyramidis triangularis est recta. Pro eo formula inveniendi semidiametri talis est;

Inventum radium globi (sphaerae) regulari pyramidis inscriptae

Quadrangula pyramidis regularis

Inventum radium globi (sphaerae) regulari pyramidis inscriptae

Ad imaginem:

  • a - margine basi pyramidis, i.e AB, BC, CD и AD;
  • EF - summa pyramidis (h).

radii (r) pila inscripta / computatur sphaera ut sequitur:

Inventum radium globi (sphaerae) regulari pyramidis inscriptae

Iusto sexangulae pyramidis

Inventum radium globi (sphaerae) regulari pyramidis inscriptae

Ad imaginem:

  • a - margine basi pyramidis, i.e AB, BC, CD, DE, EF;
  • GL - summa pyramidis (h).

radii (r) pila inscripta / calculata sphaera est formula:

Inventum radium globi (sphaerae) regulari pyramidis inscriptae

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