索引及汇编
宣棋注:此部分的原文是英文和古希腊语词汇对应表,是为了保持翻译的一惯性和流畅性。译者在此同时标注相应中文。在翻译过程中逐渐补充填充此表,不保证完成度,古希腊语由于字体的原因暂缺待补。
原文(英文词/希腊语词源/文本位置) 中文
- A
- Adjacent (ejfexh`” = in order), I. Def. 10 (p. 4) 相邻角
- Alternate (ejnallavx), of angles, I. 27 (p. 50)
- Angle
- rectilineal, I. Def. 9 (p. 3) 直线角
- adjacent, I. Def. 10 (p. 4) 相邻角
- alternate, I. 27 (p. 50) 内错角
- exterior and interior (to a figure), I. 16 (p. 34)
- interior and opposite, I. 16 (p. 34) 内对角
- vertical, I. 15 (p. 33) 对顶角
- Area (cwrivon), pp. 59-60 区域
- B
- Base
- of triangle, I. 4 (p. 16) 底边
- Boundary (o{ro~), I. Defs. 13, 14 (p. 4) 界限
- Base
- C
- Circle, definition, I. Def. 15 (p. 5) 圆
- circle (kuvklo~) and circumference (perifevreia) bisected by diameter, I. Def. 17 (p. 5) 圆和圆周
- Compass and Straightedge, p. 10 圆规和直尺
- Complement, paraplhvroma, “(figure) put in to fill up,” I. 43 (p. 71) 补形
- Conclusion, sumpevrasma, necessary part of a proposition, pp. xi, xii 结论
- Construction, kataskeuh,v one of the formal divisions of a proposition, pp. xi, xii 构建
- Circle, definition, I. Def. 15 (p. 5) 圆
- D
- Definition, in sense of “closer statement” (diorismov~), one of the formal divi- sions of a proposition, p. xi 定义
- Diameter (diavmetro~), of circle or parallelogram, I. Def. 17 (p. 5) 直径
- Distance (diavsthma), in the sense of “radius,” I. Post. 3 (p. 7) 距离
- Divided Line, see Plato 柏拉图的分割线
- Drawing, see Compass and Straightedge 绘图
- E
- Elements, definition, p. xi 原本(元素)
- Enunciation (provtasi”), one of the formal divisions of a proposition, pp. xi, xii 声明
- Equality, in sense different from that of congruence, I. 35 (p. 61). 相等
- Equilateral triangle, defined, I. Def. 20 (p. 6) constructed, I. 1 (p. 13) 等边三角形
- Euclid, about, p. ix 欧几里得
- Exterior and interior (of angles), I. 16 (p. 34)
- Extremity, pevra~, I. Defs. 3, 13 (pp. 3, 4) 极端(端点)
- F
- Figure (sch`ma), I. Def. 14, (p. 4) 图形
- G
- Guidance for Study of the Propositions, pp. 11–12 学习命题的指引
- I
- Isosceles (ijsoskelhv”) triangle, defined, I. Def. 20 (p. 6) 等腰三角形
- L
- Line, straight (eujqei`a), I. Def. 4 (p. 3) 线
- O
- Oblong, defined, I. Def. 22 (p. 6) 长方形
- P
- Parallelogram, parallelogrammic area 平行四边形,平行四边形的区域
- investigated, I. 33 (p. 58)
- first referred to by name, I. 34 (p. 59)
- investigated, I. 33 (p. 58)
- Parallel Postulate, see Postulate 5 平行公设
- Perpendicular (kavqeto”), definition, I. Def. 10 (p. 4) 垂直
- Plane (or plane surface), defined, I. Def. 7 (p. 3) 平的(或平面)
- Plato’s Divided Line, pp. xii–xiii 柏拉图的分割线
- Point, defined, I. Def. 1 (p. 2) 点
- extremity of a line, I. Def. 3 (p. 3) 线的极端
- Porism, p. xii 推论
- Postulate 5, first use, I. 29 (p. 53) 公理
- Proof (ajpovdeici”), necessary part of proposition, p. xi 证明
- Proportion, pp. i, xiii 命题
- Parallelogram, parallelogrammic area 平行四边形,平行四边形的区域
- Q
- Q.E.D. (or Q.E.F.), pp. xii–xiii, 16 已被证明(或已成事实)
- R
- Rectilineal angle, I. Def. 9 (p. 3) 直线角
- rectilineal figure, I. Def. 19 (p. 5) 直线图形
- Reductio ad absurdum, pp. 21, 23, 37, 51, 65 归谬法
- Right angle, definition, I. Def. 10 (p. 4) 直角
- Rectilineal angle, I. Def. 9 (p. 3) 直线角
- S
- Scalene (skalhnov” or skalhnhv”) triangle, I. Def. 20 (p. 6) 不等边三角形
- Semicircle, I. Def. 18 (p. 5) 半圆
- centre of, I. Def. 18 (p. 5) 圆心
- Setting-out (e[kqesi”), one of the formal divisions of a proposition, pp. xi, xii 设置
- Square, defined, I. Def. 22 (p. 6) 正方形
- Straight line, definition, I. Def. 4 (p. 3) 直线
- Straightedge, see Compass 直尺
- Surface (ejpifavneia), I. Def. 5 (p. 3) 面
- plane surface, see Plane
- plane surface, see Plane
- T
- “Therefore, etc.” explained, p. xi 综上所述
- Triangle (trivgwnon) 三角形
- several species defined, I. Defs. 20, 21 (p. 6)
- sum of interior angles in, I. 32 (p. 57) 内角和
- several species defined, I. Defs. 20, 21 (p. 6)
- V
- Vertical angles, I. 15 (p. 33) 对顶角
- 其它
- bisect 一分为二
- demonstration 论证(和proof的证明区分开来)
- theorem 定理
- transverse line 截线
- cong… 全等三角形