File:NDL1266862 わかる幾何学 立体篇 part2.pdf

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Original file (9,418 × 6,679 pixels, file size: 147.83 MB, MIME type: application/pdf, 84 pages)

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わかる幾何学   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
秋山, 武太郎, 1884-1949
image of artwork listed in title parameter on this page
Title
わかる幾何学
Volume 立体篇
Publisher
高岡本店
Language jpn
Publication date

1932

昭和7
Place of publication JP
Source

doi:10.11501/1266862

institution QS:P195,Q477675
Creator
InfoField
秋山武太郎 著
Publication Place
InfoField
東京
Subject: NDC
InfoField
375.4
Extent
InfoField
342p ; 19cm
Material Type
InfoField
Book
Source Identifier: JPNO
InfoField
44051379
Date Digitized: W3CDTF
InfoField
2010-09-30
Audience
InfoField
一般
Title Transcription
InfoField
ワカル キカガク
Volume Transcription
InfoField
リツタイ
Publisher Transcription
InfoField
タカオカ ホンテン
Source Identifier: NDLBibID
InfoField
000000648090
Call Number
InfoField
特218-953
Creator Transcription: NDLNA
InfoField
アキヤマ, タケタロウ
Creator: NDLNAId
InfoField
00001424
Contents
InfoField
かばりえりーノ公理/191~192

a3+b3=(a+b)(a2-ab+b2)ノ幾何學的證明(例題5)/196

第二節 角錐ノ場合/198

四面體ノ體積ノ第二公式(例題10)/208

四面體ノ一組ノ對稜ノ中點ヲ通ル平面ニ依ル體積ノ等分(例題11)/210

角錐臺ノ體積(例題12)/212

截頭角壔ノ體積(例題13)/217

第三節 曲面體ノ場合/[221]

球分ノ體積(例題19)/239~242

囘轉體ノ體積ニ關スルばつぶすノ定理/244

環ノ體積及ビ表面積(例題22)/246

相似圖形ノ體積及ビ表面積/248~250

第五章 曲面體及ビ球面三角形/251

第一節 圓壔及ビ圓錐/251

一般ナル曲線ノ切線/255~257

一般ナル曲面ノ切平面/258

第二節 球/261

球面上ノ最短ノ途(定理8)/275

種々ノ表面上ノ幾何學/277

第三節 球面三角形/278

球面三角形ノ各心(例題7及ビ其ノアトノ問題19-22)/279~280

球面三角形ノ邊ト角トノ關係(定理10-11)/281

極三角形ノ性質(定理12-13)/282~285

球面三角形ノ角ノ和,邊ノ和(定理14-15)/285

球面三角形ノ合同ニ關スル定理(定理16-17)/286~288

球面三角形ノ面積ニ關スル定理(定理18-19)/288~290

公式集(體積及ビ表面積)/291

1 壔體/291

2 錐體/292

3 角錐臺圓錐臺及ビ截頭角壔/293

4 正射影ノ面積/294

5 正多面體/295

6 稜ノ長サヲ知ル四面體/297

7 球,欠球,球分,球面錐體,球面三角形/300

8 樽ノ容積/302

問題ノ註解/303~326

附錄 圓ノ正射影及ビ直圓錐ノ截リ口/327

楕圓ノ定義/327

圓ノ正射影(定理A)/328

楕圓ノ共軛徑面積等(例題1乃至5)/330~333

双曲線ノ定義/333

抛物線ノ定義/334

圓錐曲線ノ定義/335

直圓錐面ノ截リ口(定理B)/336

楕圓及ビ双曲線ニ就イテ/341

Licensing

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Public domain
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