Ceeb toom tias, nyob rau hauv cov nqe lus ntawm kev tswj hwm, thawj octant tuaj yeem piav qhia raws li cov ntsiab lus uas nws qhov kev tswj hwm yog txhua yam zoo . Hauv ob-dimensional analytic geometry analytic geometry Analytic geometry yog nws tus kheej tsim los ntawm René Descartes thiab Pierre de Fermat, txawm tias Descartes qee zaum tau txais txiaj ntsig ib leeg. Cartesian geometry, lwm lo lus siv rau kev txheeb xyuas geometry, muaj npe tom qab Descartes. https://en.wikipedia.org › wiki › Analytic_geometry
Analytic geometry - Wikipedia
daim duab ntawm qhov sib npaug uas muaj x thiab y yog qhov nkhaus hauv. Hauv peb-dimensional analytic geometry, ib qho kev sib npaug hauv x, y, thiab z sawv cev rau qhov chaw hauv.
thawj octant yog dab tsi?
thawj octant yog a 3 - D Euclidean qhov chaw uas tag nrho peb qhov sib txawv xws li x, y x, y x, y, thiab z xav tias lawv cov txiaj ntsig zoo nkaus xwb. Hauv 3 - D kev tswj hwm, thawj octant yog ib qho ntawm tag nrho yim octants muab faib los ntawm peb qhov kev sib koom ua ke (ntawm ib qho chaw hu ua keeb kwm) kev sib koom ua ke dav hlau.
Qhov twg yog nyob rau hauv thawj octant?
Peb lub dav hlau sib tshuam hauv ib qho taw tes, lub hauv paus(nyob ntawm (0, 0, 0)), thiab faib 3 qhov chaw rau 8 octants (zoo ib yam li 4 quadrants nyob rau hauv 2 qhov ntev). Lub octant nyob rau hauv uas tag nrho peb lub koom haum yog qhov zoo yog hu ua thawj octant.
8 octants yog dab tsi?
Peb axial planes (x=0, y=0, z=0)faib qhov chaw mus rau yim octants. Lub yim (±, ±, ±) coordinates ntawm lub voos xwmfab vertices yog siv los qhia lawv. Lub dav hlau kab rov tav qhia plaub plaub plaub ntawm x- thiab y-axis. (Cov lej Vertex yog me ntsis-endian sib npaug ternary.)
Dab tsi yog thawj octant hauv cylindrical coordinates?
z3√x2 + y2 + z2dV, qhov twg D yog thaj av hauv thawj octant uas yog bounded by x=0, y=0, z=√x2 + y2 z=√1 − (x2 + y2). Qhia qhov tseem ceeb no ua ib qho iterated integral nyob rau hauv ob qho tib si cylindrical thiab spherical coordinates.
