Many of the arithmetical problems were solved by false position.是什么意思？

Many of the arithmetical problems were solved by false position.

许多算术问题是用试位法解的.

many

adj. 许多，多的；pron. （与复数动词连用）大多数人；

例句
There are many people who still find the act of abortion abhorrent.
仍有很多人对堕胎行为表示厌恶。

of

prep. 关于，属于…的，由…制成；aux. 助动词 [非标准用语、方言] =have [主用于虚拟语气]；

例句
He did have a real knowledge of the country...
他对该国的确知之甚多。

the

art. 指已提到的人（物），指说话人与听者已知的人（物），用于独一无二的事物前，与形容词最高级和序数词连用；

例句
He did have a real knowledge of the country...
他对该国的确知之甚多。

arithmetical

adj. 算术的，算术上的；

例句
...complex arithmetical formulae.
复杂的算术方程式

problems

n. 问题( problem的名词复数 )，疑难问题，习题，思考题；

例句
There are two main problems which afflict people with hearing impairments...
听力有障碍的人们主要受到两大问题的困扰。

were

be的过去时复数和第二人称单数形式，有时代替 was,用于条件从句、动词 wish 之后等；

例句
Shops, houses, and vehicles were set ablaze.
店铺、房子和车辆全都陷于火海。

solved

v. 解决( solve的过去式和过去分词 )，解答，解释，揭示；

例句
Mr. Hitchens said you have solved some very unusual cases.
希钦斯先生说您破过一些非常离奇的案子。

by

prep. 在…旁边，表示方式，由于，经过；adv. 经过，表示保留或保存时用，短暂拜访；

例句
...expensive make-up that we saw being advertised by a beautiful model...
我们所见的由一位漂亮模特代言的昂贵化妆品

false

adj. 虚伪的，不正的，非法的，假造的，摹造的，临时的；adv. 欺诈地，叛卖地；

例句
He felt he was on the edge of an abyss; one false move and he was done for...
他觉得如临深渊，一步不慎便会永劫不复。

position

n. 位置，方位，地位，职位，态度，状态；vt. 安置，把…放在适当位置，给…定位，驻扎军队；

例句
As long as most people are happy to have the monarchy, the abolitionist position is an arrogant fantasy.
只要大多数人还乐意保留君主制，废除它的主张就是痴人说梦。