Journal of Graphic Science of Japan

Journal of Graphic Science of Japan

Online ISSN : 1884-6106
Print ISSN : 0387-5512
ISSN-L : 0387-5512

Search

OR

Browse

Search

Search
Browse

All issues

Volume 30, Issue Supplement

Displaying 1-25 of 25 articles from this issue

Download citation

Show all abstracts

|<
<
1
>
>|

[title in Japanese]

[in Japanese]

1996 Volume 30 Issue Supplement Pages 1-5
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_1

JOURNAL FREE ACCESS

Download PDF (1944K)
[title in Japanese]

[in Japanese]

1996 Volume 30 Issue Supplement Pages 6-11
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_6

JOURNAL FREE ACCESS

Download PDF (1013K)
[title in Japanese]

[in Japanese]

1996 Volume 30 Issue Supplement Pages 12-17
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_12

JOURNAL FREE ACCESS

Download PDF (672K)
On Asymmetry axes of the Oval of Descartes

[in Japanese]

1996 Volume 30 Issue Supplement Pages 18-23
Published: 1996
Released on J-STAGE: December 09, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_18

JOURNAL FREE ACCESS

Show abstractHide abstract

We define the inner (+) and the outer ( - ) part of the Cartesian Oval as mr₁±nr₂=kc on the bipolar cooordinates. (if m=n, then it is ellipse and hyperbola. ), through these definition and some other properties, the Cartesian oval is the pure extention of conic section with the same composition.
Last time, we considerr on Minor axis of the inner part of the Oval. This time, we consider on axis of the outer part ( mr₁ - nr₂ =kc: k>m>n>o) . This asymmetry major axis (of the outer part) is a segment which connects the middle point 0 of symmetry - axis and the point F _p on the oval, which is at the longest distance from the point 0. Then, the point F _p on the outer part of the oval is equally distant from two pales (foci) . And the length of major axis is α√1+e_L⋅e_R ( α is a half of the length of the symmetry-axis), and e _L, e _R are left and right eccentricity of the Oval, respectively.Moreover, the line OF _p is the normal line at point F _p of the Oval.About this major axis, the proof and properties are the same as the minor axis. Next, we show that the perpendicular bisector of minor axis of inner part, or major axis of outer part pas through the third focus point.
When we consider on both parts of the Oval, it apears that Cardioid (r= a (1-cosθ ) ) is the special case of Cartesian Oval. In this case, e _L, e _R equals 1 and the length of the major axis is √2 α .That is to say, the radius of Circumcircle of Cardioid is √2 times a half length of symmetry - axis. Moreover, we have found the following Lemma which is universal on Euclidean metric.
[Lemma] Let the length of Minor axis of the inner part of the Oval be b_i, and let the half length of symmetry - axes of the inner, outer part be a_i, a_o, respectively.Let the length of the major axis of the outer part be b _o. Then we have
[b_i/a_i] ²+ [b_o/a_o] ²=2
These additional new properties of the oval of Descartes will be shown in this paper.

View full abstract

Download PDF (631K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 24-29
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_24

JOURNAL FREE ACCESS

Download PDF (892K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese], [in Japanese], [in Japane ...

1996 Volume 30 Issue Supplement Pages 30-33
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_30

JOURNAL FREE ACCESS

Download PDF (1921K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 34-39
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_34

JOURNAL FREE ACCESS

Download PDF (1781K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 40-45
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_40

JOURNAL FREE ACCESS

Download PDF (3622K)
Analyses of Graphical Features of Design Pictures by Human Impressions

K. Kondo, X. Zhang, N. Utsuno, H. Sato, S. Shimada

1996 Volume 30 Issue Supplement Pages 46-51
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_46

JOURNAL FREE ACCESS

Download PDF (2668K)
Analysis of Perceptions and Impressions of Solid of Revolution

M. FUJIYOSHI, K. KONDO, H. SATO, S. SHIMADA

1996 Volume 30 Issue Supplement Pages 52-57
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_52

JOURNAL FREE ACCESS

Download PDF (684K)
[title in Japanese]

[in Japanese]

1996 Volume 30 Issue Supplement Pages 58-61
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_58

JOURNAL FREE ACCESS

Download PDF (315K)
[title in Japanese]

[in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 62-67
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_62

JOURNAL FREE ACCESS

Download PDF (4130K)
[title in Japanese]

[in Japanese]

1996 Volume 30 Issue Supplement Pages 68-73
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_68

JOURNAL FREE ACCESS

Download PDF (604K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 74-77
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_74

JOURNAL FREE ACCESS

Download PDF (2511K)
[title in Japanese]

[in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 78-83
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_78

JOURNAL FREE ACCESS

Download PDF (820K)
[title in Japanese]

[in Japanese]

1996 Volume 30 Issue Supplement Pages 84-86
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_84

JOURNAL FREE ACCESS

Download PDF (356K)
[title in Japanese]

[in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 87-92
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_87

JOURNAL FREE ACCESS

Download PDF (550K)
[title in Japanese]

[in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 93-98
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_93

JOURNAL FREE ACCESS

Download PDF (740K)
[title in Japanese]

[in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 99-103
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_99

JOURNAL FREE ACCESS

Download PDF (589K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 104-109
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_104

JOURNAL FREE ACCESS

Download PDF (554K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese], [in Japanese], [in Japane ...

1996 Volume 30 Issue Supplement Pages 110-115
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_110

JOURNAL FREE ACCESS

Download PDF (477K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 116-121
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_116

JOURNAL FREE ACCESS

Download PDF (705K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 122-127
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_122

JOURNAL FREE ACCESS

Download PDF (700K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 128-133
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_128

JOURNAL FREE ACCESS

Download PDF (677K)
[title in Japanese]

[in Japanese], [in Japanese], [in Japanese]

1996 Volume 30 Issue Supplement Pages 134-139
Published: 1996
Released on J-STAGE: August 25, 2010

DOIhttps://doi.org/10.5989/jsgs.30.Supplement_134

JOURNAL FREE ACCESS

Download PDF (739K)

|<
<
1
>
>|

Top