File:NLC416-08jh012821-9620 初中標準算學幾何.pdf

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初中標準算學幾何   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
孫宗坤 胡爾康編輯
image of artwork listed in title parameter on this page
Title
初中標準算學幾何
Publisher
中學生書局[發行者] (上海)
Description

目錄
第三章 圓
圓之基本定理
218 圓
219 半徑
220 圓的初步定理
221 直徑
222 弦
223 弧
224 圓心角
225 同心圓
226 定理1
227 定理2
228 逆定理的定律
229 定理3
230 系
231 定理4
232 系
233 定理5
234 系1
235 系2
236 系3
弦及其對圓心的距離
237 定理6
238 定理7
239 定理8
240 系
(習題二八)
切線
241 割線
242 切線
243 定理9
244 系1
245 系2
246 系3
247 定理10
248 定理11
249 定理12
250 系
(習題二九)
兩圓之關係
251 中心線
252 切圓
253 定理13
254 公切線
255 定理14
(習題三十)
角之量法
256 〓數
257 有理量
258 無理量
259 兩量的比
260 無理量的比
261 內接多角形和外切多角形
262 弓形
263 扇形
264 圓周角
265 定理15
266 系
267 定理16
268 系1
269 系2
270 系3
(習題三一)
271 定理17
272 定理18
273 定理19
274 定理20
275 系
276 定理21
(習題三二)
(總習題)
第四章 軌跡和作圖
軌跡
277 軌跡
(習題三三)
278 軌跡之基本定理
279 證軌跡之方法
(習題三四)
作圖
280 作圖題
281 作圖之公法
282 幾何學上作圖所用的器具
283 問題(三角形作法1)
284 系1
285 系2
286 問題(三角形作法2)
287 兩可情形
288 問題(平行四邊形作法)
289 問題(切線作法)
290 內心和傍心
291 問題(內切圓作法)
292 問題(傍切圓作法)
293 問題(外接圓作法)
294 系1
295 系2
296 外心
297 問題(已知弦上作弓形法)
298 問題(公切線作法)
299 作圖之方法
300 綜合法
301 分析法
302 有定,無定,及不可能
303 討論
(習題三五)
304 交軌法
(習題三六)
(習題三七)
第五章 比例相似形
比例之基本定理
305 比
306 比例
307 第四比例項
308 連比例
309 定理1
310 系1
311 系2
312 系3
313 定理2(交換之理)
314 定理3(反轉之理)
315 定理4(加比之理)
316 定理5(減比之理)
317 定理6(加減之理)
318 定理7(乘方之理)
319 定理8
320 定理9
(習題三八)
比例線段
321 定理10
322 系1
323 系2
324 定理11
(習題三九)
325 內分外分
326 問題(作第四比例項法)
327 系
328 問題(依定比求內外分線段法)
(習題四十)
329 定理12
330 定理13
331 系
332 對於兩定點距離之比一定之軌跡
(習題四一)
相似三角形
333 多角形相當部分
334 相似多角形
335 定理14
336 系1
337 系2
338 定理15
339 定理16
340 定理17
341 證四線成比例之法
(習題四二)
相似形
342 定理18
343 定理19
344 定理20
345 問題
(習題四三)
圓之比例線段
346 定理21
347 圓的割線
348 定理22
349 系
直角三角形之比例線段
350 定理23
351 系1
352 系2
353 系3
354 系4
355 問題(作比例中項法)
(習題四四)
三角形三邊之關係
356 定理24
357 系
358 射影
359 定理25
360 定理26
361 系1
362 系2(求垂線之長)
(習題四五)
中線
363 定理27
364 系(求中線之長)
365 對於兩定點距離平方之和一定之點之軌跡
366 對於兩定點距離平方之差一定之點之軌跡
(習題四六)
分角線
367 定理28
368 系(求分角線之長)
(習題四七)
369 定理29(外接圓直徑)
370 系(求外接圓半徑之長)
(習題四八)
(總習題)
(計算題)
(作圖題)
第六章 面積
371 面的單位
372 面積
373 等積形
374 定理1
375 系
376 定理2
377 定理3
(習題四九)
378 定理4
379 系1
380 系2
381 系3
382 系4
383 定理5
384 系1
385 系2
386 系3
387 系4
388 系5
389 定理6
390 系
(習題五十)
等積變形
391 問題
392 問題
393 代數式作圖
(習題五一)
面積作圖題
394 代數公式之幾何證明
395 問題
(習題五二)
396 問題
397 定理7(辟氏定理)
398 系
399 問題
400 系
(習題五三)
面積之比
401 定理8
402 定理9
403 定理10
404 系1
405 系2
406 定理11
(習題五四)
(總習題)
(計算題)
(作圖題)
第七章 正多角形及圓
正多角形
407 正多角形
408 正多角形的半徑
409 正多角形的邊心距
410 正多角形的中心
411 正多角的中心角
412 定理1
413 系1
414 系2
415 系3
416 系4
417 定理2
(習題五五)
418 問題(作正方形法)
419 系
420 問題(作正六角形法)
421 系1
422 系2
423 外中比
424 問題(外中比分法)
425 問題(作正十角形法)
426 系1
427 系2
428 問題(作正十五角形法)
429 系
(習題五六)
正多角形及圓之度量
430 圓內接正多角形的一邊與半徑之關係
431 定理3
432 系
433 定理4
434 系
(習題五七)
435 常量和變量
436 極限
437 圓為極限
438 極限定則
439 定理5
440 系1
441 π
442 圓周之長
443 定理6
444 定理7
445 系1
446 圓之面積
447 扇形之面積
(習題五八)
π之求法
448 問題
449 系
450 問題
(總習題)
(計算題)
平面幾何學總溫習
平面幾何學總複習題

Language Chinese
Publication date 民國24[1935]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
幾何
中圖分類
InfoField
G634.63
拼音題名
InfoField
Chu Zhong Biao Zhun Suan Xue Ji He
載體形態
InfoField
208頁

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Date/TimeThumbnailDimensionsUserComment
current17:32, 10 June 2023Thumbnail for version as of 17:32, 10 June 20231,239 × 1,754, 232 pages (4.72 MB)PencakeBot (talk | contribs)Upload 初中標準算學幾何 (1/1) by 孫宗坤,胡爾康編輯 (batch task; nlc:data_416,08jh012821,9620; 民國圖書.4; 初中標準算學幾何)

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