圆的

Mathematics: Understands and applies basic and advanced properties of the concepts of geometry; Use the Pythagorean theorem and its converse and properties of special right triangles to solve mathematical and real-world problems; Understands the basic concepts of right triangle trigonometry (e.g., basic trigonometric ratios such as sine, cosine, and tangent); Uses trigonometric ratio methods to solve mathematical and real-world problems (e.g., determination of the angle of depression between two markers on a contour map with different elevations); Uses properties of and relationships among figures to solve mathematical and real-world problems e.g., uses the property that the sum of the angles in a quadrilateral is equal to 360 degrees to square up the frame for a building; uses understanding of arc, chord, tangents, and properties of circles to determine the radius given a circular edge of a circle without the center

数学：理解和应用几何概念的初级和高级特性；用毕德哥拉斯定理、逆定理以及特殊直角三角形性质解决数学的和现实世界的问题；理解基本的直角三角形三角比；运用三角比方法解决数学的或现实的问题。（等高线图上的两个标记之间的俯角确定）运用形体之间的关系及其属性解决数学的或现实的问题（利用四边形内角和等于360度来为建筑物框架取正，运用弧，弦，切线和圆的性质确定缺少中心的一段圆弧的圆心

Secondly, the analytic expressions of the error band boundary line for the s model of line segment are deduced, the parameter equations of the error band boundary are gotten.

考虑实用性和合理性，将线元看成离散点的集合，将线的不确定性看成点的不确定性的聚合体，将线元的位置不确定性模型看成以各点误差椭圆的长半轴E为半径的误差圆的聚合体，建立了以线元上任意点处的误差椭圆的长半轴E为带宽的线元不确定性ε模型。

As illustrations of this alleged fact Ayer proceeds to cite perspective ('a coin which looks circular from one point of view may look elliptical from another'); refraction ('a stick which normally appears straight looks bent when it is seen in water'); changes in colour-vision produced by drugs ('such as mescal'); mirror-images; double vision; hallucination; apparent variations in tastes; variations in felt warmth 'according as the hand that is feeling it is itself

艾耶尔接下去援引下述内容作为这个所谓事实的示例：视点（"一枚硬币从一个视角看是圆的，从另外一个视角看则可能是椭圆的"）；折射（"一根小细棍在正常情况下显得是直的，在水中看上去却是弯屈的"）；由药物造成的"颜色视觉"的变化；镜象；复视觉；幻觉；味觉的明显变化；冷暖感的变化（根据感觉冷暖的手本身是

Because some years previously in 1886 when occupied with the problem of the quadrature of the circle he had learned of the existence of a number computed to a relative degree of accuracy to be of such magnitude and of so many places, e.g., the 9th power of the 9th power of 9, that, the result having been obtained, 33 closely printed volumes of 1000 pages each of innumerable quires and reams of India paper would have to be requisitioned in order to contain the complete tale of its printed integers of units, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions, hundreds of millions, billions, the nucleus of the nebula of every digit of every series containing succinctly the potentiality of being raised to the utmost kinetic elaboration of any power of any of its powers.

351因为几年前在一八八六年，当他埋头于探讨面积等于一个圆的正方形的问题时，他发现了一个数值的存在：倘若精确地计算到某种程度，就能达到比方说九九乘九乘这样庞大的量值和位数。所得数字要用细字密密匝匝地印刷成三十三卷，每卷一千页。为了统统印刷完毕，就需要购入无数刀、无数令印度纸，整数值的位数便是一、十、百、千、万、十万、百万、千万、亿、十亿，一切级数的一切数字作为星云的核心，以简明的形式所包含的累乘的可能性推到了极限地、能动地开展的一切乘方的一切幂级数。

As two men, measuring-rods in hand, quarrel about their boundaries in a field that they own in common, and stickle for their rights though they be but in a mere strip, even so did the battlements now serve as a bone of contention, and they beat one another's round shields for their possession.

壮实的鲁基亚人不能捅开达奈人的护墙，打出一条直抵海船的通道，而达奈枪手也无力挡开已经逼至墙根的鲁基亚兵汉，像两个手持量杆的农人，站在公地上，大吵大闹，为决定界石的位置，在一条狭窄的田域，为争得一块等量的份地翻脸，其时，雉培隔开两军，而横越墙头，双方互相杀砍，击打着溜圆的、摭护前胸的牛皮盾面，击打着稳条飘舞的护身的皮张。

For the digital filter design problem, the mathematics are complicated by the approximation being defined on the unit circle.

数学问题中固有的频域滤波器设计的问题是逼近理想的复杂的频率响应函数的HD的一个合理的传递函数的H就一个Mth度的分子和一个第N次度标准值复杂的变量沿着单位圆的Z = ejw 。

Hector's round shield showed in the front rank, and as some baneful star that shines for a moment through a rent in the clouds and is again hidden beneath them; even so was Hector now seen in the front ranks and now again in the hindermost, and his bronze armour gleamed like the lightning of aegis-bearing Jove.

赫克托耳，挺着溜圆的战后，站在队伍的最前排，像一颗不祥的星宿，在夜空的云朵里露出头脸，闪烁着耀眼的光芒，然后又隐入云层和黑夜，赫克托耳时而活跃在队伍的前列，时而又敦促后面的兵勇们向前，铜盔铜甲，闪闪发光，像父亲宙斯，带埃吉斯的天神投出的闪电。

English, French, Spanish, Portugese, Georges, and Louises, doubloons and double guineas and moindores and sequins, the pictures of all the kings of Europe for the last hundred years, strange Oriental pieces stamped with what looked like wisps of string or bits of spiders web, round pieces and square pieces, and pieces bored through the middle, as if to wear them round your neck - nearly every variety of money in the world must, I thin, have found a place in that collection; and for number, I am sure they were like autumn leaves, so that my back ached with stooping and my fingers with sorting them out.

其中有英国的金基尼、双基尼，法国的金路易，西班牙的杜布龙，葡萄牙的姆瓦多，威尼斯的塞肯，有最近一百年欧洲各国君主的头像，有古怪的东方货币，上面像是缕缕细绳、张张蛛网；有圆的有方的，有中间带孔的，好像可以串起来挂在脖子上。我估计差不多世界上每一种货币都被搜罗全了。至于数量，我相信大概跟秋天的落叶一样多，我总是弯着腰，手不断地整理着，一天下来弄得疲惫不堪。

English, French, Spanish, Portugese, Georges, and Louises, doubloons and double guineas and moindores and sequins, the pictures of all the kings of Europe for the last hundred years, strange Oriental pieces stamped with what looked like wisps of string or bits of spider's web, round pieces and square pieces, and pieces bored through the middle, as if to wear them round your neck - nearly every variety of money in the world must, I thin, have found a place in that collection; and for number, I am sure they were like autumn leaves, so that my back ached with stooping and my fingers with sorting them out.

其中有英国的金基尼、双基尼，法国的金路易，西班牙的杜布龙，葡萄牙的姆瓦多，威尼斯的塞肯，有最近一百年欧洲各国君主的头像，有古怪的东方货币，上面像是缕缕细绳、张张蛛网；有圆的有方的，有中间带孔的，好像可以串起来挂在脖子上。我估计差不多世界上每一种货币都被搜罗全了。至于数量，我相信大概跟秋天的落叶一样多，我总是弯着腰，手不断地整理着，一天下来弄得疲惫不堪。

The round moon cakes, measuring about three inches in diameter and one and a half inches in thickness, resembled Western fruitcakes in taste and consistency.

圆的中秋月饼，测量直径和一的大约三寸而且测量厚度的一半的寸，相似了味道和一致性的西方掺有干果的糕饼。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。