Submit an Article
Become a reviewer
Vol 1 Iss. 3
Pages:
171-174
Download volume:
RUS
Article

On reciprocal curves and surfaces

Authors:
Ye. S. Fedorov
Date submitted:
1908-03-15
Date accepted:
1908-05-01
Date published:
1908-09-01

Abstract

Under this general term we mean all those curves and surfaces that are represented in the geometry of harmonic segments. Indeed, in this geometry, to every middle point of a segment there uniquely correspond both endpoints of this segment; consequently, whatever curve is represented in this geometry as a set of endpoints of segments, its points are always grouped in pairs that are harmonic with respect to the main orthogonal sphere O, with the endpoints located on a radius of this sphere.

Область исследования:
(Archived) Without section
Funding:

None

Go to volume 1

Similar articles

A case of secondary overgrowth on primary fieldspar of porphyry . A new combination of twinning laws in fourlings. Twins according to the first axis and perpendicular to it
1908 V. V. Nikitin
Crystals of the Mineralogical Museum
1908 Ye. S. Fedorov
On alloys of platinum with tin
1908 N. I. Podkopaev
K2Cr2O7 crystals; their structure and twins
1908 D. N. Artemyev
Spherical systems
1908 Ye. S. Fedorov
Improving the criterion for correct crystal orientation
1908 Ye. S. Fedorov