File:NLC416-14jh007876-69597 高中三角學.pdf

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search
Go to page
next page →
next page →
next page →

Original file ‎(835 × 1,404 pixels, file size: 3.94 MB, MIME type: application/pdf, 171 pages)

Captions

Captions

Add a one-line explanation of what this file represents

Summary[edit]

高中三角學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
余介石編
image of artwork listed in title parameter on this page
Title
高中三角學
Publisher
中華書局[發行者]
Description

目錄
第一章 銳角的三角函數和應用
1 銳角的三角函數
2 餘角的函數
3 特殊角的三角函數
習題一
4 直角三角形解法
5 等腰三角形解法
6 正多角形解法
習題二
7 俯角與仰角
8 射影
9 傾斜度
10 線的距程與方位
11 線段橫距與縱距，直程
習題三
12 三角函數間的基本關係
13 簡易三角板恆等式
14 基本關係式的獨立性
習題四
15 以一三角函數表其餘五函數法
16 簡易三角方程式
17 簡易三角方程式解法
習題五
第一章 摘要
第二章 廣義角三角函數
18 有向線段
19 沙下（chales）定理
20 角的產生
21 廣義角與有向角
22 角的標準位置
習題六
23 平面上一點坐標
24 廣義角三角函數
25 各象限內角諸函數值的號
26 已知一面數值，求同角他函數值法
習題七
27 相關角
28 相關角函數
29 號的決定
習題八
30 化任何角函數為銳角相當函數的又一法
31 化為余函數法的直接證明
32 負角的各函數
33 化角法公式的普遍性
習題九
34 三角函烽的變值和變跡
35 正弦餘弦的變值
36 正餘切的變值
37 下餘割的變值
習題十
38 各函數變跡的直接作法
39 三角函數的周期性
習題十一
第二章 摘要
第三章 三角恆等式
40 恆等式證明
41 恆等式又一證法
42 雜例
習題十二
43 和較公式
44 兩銳角和的正餘弦
45 兩銳角差的正餘弦
習題十三
46 有向線段射影
47 射影定理
48 和較公式的普遍性
習題十四
49 兩角和差的正餘切
50 倍角公式
51 半角公式
52 非單角函數的恆等式
53 特殊角的函數
習題十五
54 化和為積法
55 化積為和法
56 和積式變化雜例
習題十六
57 補助角
58
59
60
61 特殊關係角的恆等角
62 三角等式的推演
習題十七
第三章 摘要
第四章 三角形性質
63 邊角間關係
64 正弦定律
65 餘弦定律
66 邊角關係式的獨立性
習題十八
67 以三邊表各角正弦
68 三角形解法
69 外接圓半徑
70 三角形面積
71 三角形各高
習題十九
72 以面積表外接圓半徑
73 內切圓半徑
74 內切圓半徑的又一公式
75 外接內切二圓半徑關係
76 旁切圓半徑
77 旁切圓半徑的又一公式
78 外接旁切諸圓半徑關係
79 諸切圓半徑與一角和三邊關係
習題二十
80 外接內切圓心距離
81 外接旁切圓心距離
82 旁心三角形
83 四邊形面積
習題二十一
第四章 摘要
第五章 三角形解法及應用問題
84 對數解法
85 已知一邊與任兩角的情形
習題二十二
86 疑款
87 疑款解法公式
習題二十三
88 正切定律
89 正切定律的應用
90 用補助角法
習題二十四
91 已知三邊的情形
92 已知三邊情形的討論
93 解法核算
習題二十五
94 高與距離的測量
95 在同一平面內的測量問題
96 不在同一平面內的測量
97 求二不可達點間的距離
98 測量問題雜例
習題二十六
99 航海應用問題
100 平行航海
101 平面航海
102 中緯航海
習題二十七
第五章 摘要
第六章 弧度法，造表法略論
103 弧度法
104 度與弧度的換算
105 幾個重要角和函數關係
106 應用問題
習題二十八
107 小角的正弦與正切
108 求sin1'與cos1'
109 辛普孫（simpson）造表法
習題二十九
110 推值法略論
111 各表精密度略論
112 近於0°或90°的角的函數
習題三十
113 論s.t.表
114 實際上的應用問題
115 可望見的地平距離與俯角
習題三十一
第六章 摘要
第七章 反三角函數 三角方程式
116 有等函數值的角
117 已知函數值求作其角的方法
習題三十二
118 反三角函數
119 反函數的限制
120 主值
121 正反三角函數的相消性
習題三十三
122 反函數關係式
123 反三角函數關係式的意義
124 反函數雜例
習題三十四
125 三角方程式
126 三角方程式解法通則
127 特殊解法
128 用輔助角法
習題三十五
129 含反函數的方程式
130 聯立三角方程式
131 消去法
習題三十六
第七章 摘要

Language Chinese
Publication date 民國二十四年[1935]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.64/42
主題
InfoField
三角
中圖分類
InfoField
G634.64
載體形態
InfoField
148頁

Licensing[edit]

This image is in the public domain because it is a mere mechanical scan or photocopy of a public domain original, or – from the available evidence – is so similar to such a scan or photocopy that no copyright protection can be expected to arise. The original itself is in the public domain for the following reason:
Public domain
This image is now in the public domain in China because its term of copyright has expired.

According to copyright laws of the People's Republic of China (with legal jurisdiction in the mainland only, excluding Hong Kong and Macao), amended November 11, 2020, Works of legal persons or organizations without legal personality, or service works, or audiovisual works, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation. For photography works of natural persons whose copyright protection period expires before June 1, 2021 belong to the public domain. All other works of natural persons enter the public domain 50 years after the death of the creator.
According to copyright laws of Republic of China (currently with jurisdiction in Taiwan, Penghu, Kinmen, Matsu, etc.), all photographs and cinematographic works, and all works whose copyright holder is a juristic person, enter the public domain 50 years after they were first published, or if unpublished 50 years from creation, and all other applicable works enter the public domain 50 years after the death of the creator.

Important note: Works of foreign (non-U.S.) origin must be out of copyright or freely licensed in both their home country and the United States in order to be accepted on Commons. Works of Chinese origin that have entered the public domain in the U.S. due to certain circumstances (such as publication in noncompliance with U.S. copyright formalities) may have had their U.S. copyright restored under the Uruguay Round Agreements Act (URAA) if the work was under copyright in its country of origin on the date that the URAA took effect in that country. (For the People's Republic of China, the URAA took effect on January 1, 1996. For the Republic of China (ROC), the URAA took effect on January 1, 2002.[1])
To uploader: Please provide where the image was first published and who created it or held its copyright.

You must also include a United States public domain tag to indicate why this work is in the public domain in the United States. Note that this work might not be in the public domain in countries that do not apply the rule of the shorter term and have copyright terms longer than life of the author plus 50 years. In particular, Mexico is 100 years, Jamaica is 95 years, Colombia is 80 years, Guatemala and Samoa are 75 years, Switzerland and the United States are 70 years, and Venezuela is 60 years.

čeština ∙ Deutsch ∙ English ∙ português ∙ română ∙ slovenščina ∙ Tagalog ∙ Tiếng Việt ∙ македонски ∙ русский ∙ മലയാളം ∙ ไทย ∙ 한국어 ∙ 日本語 ∙ 简体中文‎ ∙ 繁體中文 ∙ +/−


This tag is designed for use where there may be a need to assert that any enhancements (eg brightness, contrast, colour-matching, sharpening) are in themselves insufficiently creative to generate a new copyright. It can be used where it is unknown whether any enhancements have been made, as well as when the enhancements are clear but insufficient. For known raw unenhanced scans you can use an appropriate {{PD-old}} tag instead. For usage, see Commons:When to use the PD-scan tag.

Note: This tag applies to scans and photocopies only. For photographs of public domain originals taken from afar, {{PD-Art}} may be applicable. See Commons:When to use the PD-Art tag.
This image contains digital watermarking or credits in the image itself. The usage of visible watermarks is discouraged. If a non-watermarked version of the image is available, please upload it under the same file name and then remove this template. Ensure that removed information is present in the image description page and replace this template with {{Metadata from image}} or {{Attribution metadata from licensed image}}.

Caution: Before removing a watermark from a copyrighted image, please read the WMF's analysis of the legal ramifications of doing so, as well as Commons' proposed policy regarding watermarks.

If the old version is still useful, for example if removing the watermark damages the image significantly, upload the new version under a different title so that both can be used. After uploading the non-watermarked version, replace this template with {{Superseded|new filename|version without watermarks}}.
Bahasa Indonesia ∙ italiano ∙ eesti ∙ sicilianu ∙ Deutsch ∙ català ∙ magyar ∙ čeština ∙ română ∙ español ∙ português ∙ English ∙ hrvatski ∙ Plattdüütsch ∙ français ∙ Nederlands ∙ polski ∙ galego ∙ slovenščina ∙ suomi ∙ svenska ∙ Ελληνικά ∙ беларуская (тарашкевіца)‎ ∙ български ∙ македонски ∙ русский ∙ українська ∙ മലയാളം ∙ ไทย ∙ 日本語 ∙ 中文 ∙ 中文（简体）‎ ∙ 中文（繁體）‎ ∙ עברית ∙ العربية ∙ فارسی ∙ +/−

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current21:32, 11 June 2023Thumbnail for version as of 21:32, 11 June 2023835 × 1,404, 171 pages (3.94 MB)PencakeBot (talk | contribs)Upload 高中三角學 (1/1) by 余介石編 (batch task; nlc:data_416,14jh007876,69597; 民國圖書.8; 高中三角學)

You cannot overwrite this file.

The following page uses this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:NLC416-14jh007876-69597_高中三角學.pdf&oldid=774037208"