Entries from 2022-08-26 to 1 day

exponential function

ex = x T.theodor 2022.8.26

area

共通之 area ヲ求メヨ。 T.theodor 2022.8.26

area

共通之 area ヲ求メヨ。 T.theodor 2022.8.26

logical fallacy of Pascal's theorem

六角形 ABCDEF 之 line BC、EF ヲ parallel lines ニ取ル。 T.theodor 2022.8.26

Hyperbola

Hyperbola x<√a2+b2 0°<∠PF2F1<30° x→a ∠PF2F1 → 0° x=√a2+b2 ∠PF2F1 = 90° √a2+b2

circle et ellipse

x2 + y2 = r2 x2/a2 + y2/b2 = 1 (±√r2/2 ,±√r2/2 ) , (±√a2b2/a2+b2 ,±√a2b2/a2+b2 ) T.theodor 2022.8.26

Hyperbola

Hyperbola 接線ガ接点ヲ二ツ持ツ時、二座標ヲ求メヨ。 T.theodor 2022.8.26

function

f(x) = n = 2k lim f(x) = ∞ (x→−∞) lim f(x) = ∞ (x→∞) n = 2k−1 a>0 lim f(x) = −∞ (x→−∞) lim f(x) = ∞ (x→∞) a<0 lim f(x) = ∞ (x→−∞) lim f(x) = −∞ (x→∞) T.theodor 2022.8.26

function

f(x) = number of solutions α≦n T.theodor 2022.8.26 /f(x) =、4/3, 8/5, 16/9

Geometry

triangulum 内之 circle、ellipse、quadrangle ヲ m/n ニ内分スル Geometry 。 T.theodor 2022.8.26