Несколько замечательных прямых

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

IIIIIIIIIIII

IIIIIIIIIIIIIIIIIIIIIIII

I

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

5) L

m

=F

m

(L) — I

m

— S.

F

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

l

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

G

6) M—G

l

—F, где F—точка

Фейербаха — точка каса-

ния вписанной окружно-

сти и окружности девяти

точек.

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

F

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

l

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

7) H — N

l

— F.

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

E

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

8) O—M—E—H—F

l

(F

m

(H))

(п р я м а я Э й л е р а).

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

c

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

N

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

S

c

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

I

m

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

S

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

M

IIIIIIIIIIII

IIIIIIIIIIIIIIIIIIIIIIII

I

9) N

c

=F

c

(N) — S

c

=F

c

(S) —

I

m

— M.

Обозначения точек см. на стр. 3—5 брошюры; опре-

деления изогонального и изотомического сопряжений —

на стр. 11, 12; определение изоциркулярного преобразо-

вания — на стр. 14—16.

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

F

l

(F

m

(L))

10) O — L — F

l

(F

m

(L)).

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

L

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

11) H

m

— L

m

— O

m

=

=F

m

(O) — H.

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

L

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

m

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

H

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

F

l

(F

m

(O))

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

O

m

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O

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12)

F

l

(F

m

(O))

—

L —

F

l

(F

m

(H)).

F

l

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(I))

F

l

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l

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F

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F

l

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L

L

L

L

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L

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IIIIIIIIIIII

IIIIIIIIIIIIIIIIIIIIIIII

I

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I

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G

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G

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G

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G

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G

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G

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13) G

l

— L — F

l

(F

m

(I)).

F

m

(F

l

(F

m

(H)))

F

m

(F

l

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m

(H)))

F

m

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F

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F

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H

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L

L

L

L

L

L

L

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

(F

m

(H))

F

l

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F

l

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(H))

F

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m

(H))

F

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F

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F

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F

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F

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F

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(H))

F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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F

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m

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F

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m

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F

l

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m

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F

l

(F

m

(H))

14) F

m

(F

l

(F

m

(H)))—L

m

—M.