File:NLC416-08jh000528-79436 球面三角法講義.pdf

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Summary[edit]

球面三角法講義   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
匡文濤編譯
image of artwork listed in title parameter on this page
Title
球面三角法講義
Publisher
商務印書館[發行者]
Description

目錄
第一編 大圓及小圓
球面三角形
球面三角形之面積

依平面截球之截口
大圓

圓之極
四分圓
二大圓之傾度
小圓之弧
球面上二點間之最短距離
球面多角形
凸多角形
二邊與一邊之關係
極三角形
球面三角形與其極三角形之關係
球面過剩
對稱三角形
二等邊三角形
等積三角形
兩底角和不易之關係
球面三角形之面積
月形
問題一
第二編 球面三角形之決定
納披氏之比例式
德蘭布魯氏之比例式
根原式
正弦比例
納披氏比例式
德蘭布魯氏之比例式
問題二
第三編 直角三角形之解法
直角三角形之解法
問題三
第四編 球面三角形一般之解法
球面三角形一般之解法
問題四
第五編 關於e之公式
關於e之公式
喀格約里氏定理
雷里氏定理
喀格約里氏定理以幾何的證明
4e之公式
列克色爾氏法則
施起那魯氏法則
極大積之球面三角形
問題五
第六編 雜定理
三線坐標
球面之平均中心
內切圓及外接圓
橫截線之定理
比調和比
補四角形
三線坐標
球面之平均中心
內切小圓半徑之球法
外接小圓半徑之球法
三角形之榜切圓
問題六
第七編 關於小圓之定理
輪圓
極及對極線
關於調和列點之軌跡之定理
球面上小圓之方程式
哈氏之定理
關於哈氏定理之圓接觸於三角形之內切及傍切圓
問題七
第八編 關於多面體之定理
正多面體僅有五種
求四面體外接球之半徑
求正多面體之表面及體積
球平面體之積
球四面體之體積
問題八
第九編 相似之中心及軸
倒形
射影
大圓與二小圓之畫法內分及外分
三個小圓之相似中心有三個在同一圓周上
倒形
球面上某圓之倒形為圓
圓之倒形仍自為圓
非調和之倒形

射影
立體平畫術之射影
問題九
第十編 引球面上定點之弧
引球面上定點之弧
正多面體外接球表面上一點連立體角頂各弧之餘弦和為零
問題十
第十一編 球面三角形之真數解法
直角三角形
斜角三角形
問題十一
第十二編 球面三角法之應用
球面三角法之應用
測地學
第十三編 球面星學射影
射影
子午圈平面上之球的射影特別地方地平面上之球的射影
向赤道平面上之球的射影
向黃道平面上之球的射影
向平分圈平面上之球的射影
向二至經圈平面上之球的射影
第十四編 球面星學之問題
從赤道上太陽之角

太陽之出沒時
太陽之高度
日〓時角
時角
實地平經度
緯度測定
二星間之距離
日與月之距角

Language Chinese
Publication date 民國12[1923]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
51.243/03
主題
InfoField
球面三角
中圖分類
InfoField
O124.2
載體形態
InfoField
233頁

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Date/TimeThumbnailDimensionsUserComment
current12:11, 21 April 2023Thumbnail for version as of 12:11, 21 April 2023818 × 1,164, 243 pages (5.2 MB)PencakeBot (talk | contribs)Upload 球面三角法講義 (1/1) by 匡文濤編譯 (batch task; nlc:data_416,08jh000528,79436; 民國圖書-PD2022.2; 球面三角法講義)

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