圆面积

The Baptistery is a stately rotunda, of huge dimensions, and was a costly structure.

浸礼堂，是个面积巨大的圆厅，也是座豪华的建筑。

The rectangle and circle packing problem is concerned with packing a subset of different size rectangles and circles into a rectangular container,with the objective of maximizing the container's area usage.

1前言本文所研究的矩形和圆形装填问题，就是将不同大小的矩形块和圆饼装入一个矩形容器中，以最大化容器的面积利用率为优化目标。

Under this flow, the convex initial curve will preserve its perimeter, enlarge the enclosed area and make its curvature to be positive definitely. And as the time lasts, it will become more and more circular, and finally, as the time goes to infinity, the curve will converge to a circle in the Hausdorff metric.

本文证明在这种新的曲线流之下，闭凸曲线周长保持不变、所围区域的面积不断增大而曲率保持恒正，并且，随着时间的推移曲线变得越来越圆，最终当时间t趋向于无穷大时，曲线在Hausdorff度量意义下收敛到一个圆周。

Rectangular circumference is 16 56 decimeters , this round area square decimeter .

长方形的周长是16.56分米，这个圆的面积平方分米。

Expression of hepatocyte markers such as ALB and CK18 was measured with immunohistochemistry. RESULTS: Cells in control group kept the long spindle shape, with shape agent as 4.5±1.0 and small size, proliferated quickly, submitted typical fibroblast whirlpool or flamboyancy growth. Five to seven branches were observed at the late culture period, no cell rounded, and the rate of dikaryocyte was less than 0.1%.

结果：未进行诱导的对照组细胞保持长梭型，形状因子4.5±1.0，面积较小，增生较快，呈典型成纤维细胞的漩涡状或火焰状生长，培养后期可见5~7个分支，无细胞变圆，双核细胞率小于0.1%，逐渐老化，颗粒增多。

The first section introduces some basic concepts[9].The second section introduces Schmidt"s method of proving isoperimetric inequality [2].The third section introduces Hurwitz"s method [9].The fourth section takes from my tutors lecture notes.The method is due to REILLY [10].Finally,I make use of variational method to prove the circle among the curves of length L encloses the biggest area on the plane.

首先介绍了平面上的一些基本概念[9]，其次介绍了文献[2]中Schmidt证明等周不等式的方法，再次介绍了文献[9]中Hurwitz证明等周不等式的方法，然后介绍了导师吴发恩整理的文献[8]中REILLY的方法证明平面上的等周不等式[10]，最后我利用变分的方法证明了平面上等长的曲线围成的面积最大时为圆。

This paper extracted and analysed 11Math-Mophological Features such as Area, Perimeter, X-Length, Y-Length, Shape-Parameter, Lobation, Sphericity, Circularity, Roundness, Eccentricity and HoleNumber. Based on 40 species of insects which belonging to 8 Orders, 25 Families. And then ranks the accountability of 11 features each in insect identification while assessing their implication to insect taxonomy on levels of Order, Superfamily, Family and Species. More than those, also describes the kinship among the insects of various categories within the same level from the perspective of mathematical morphology through cluster analyses.

论文对隶属于8个目25科的40种昆虫利用计算机视觉技术进行了自动鉴别研究，从昆虫图像中提取和分析了这些昆虫的面积、周长、横轴长、纵轴长、形状参数、叶状性、球状性、圆形性、似圆度、偏心率、亮斑数等11项数学形态特征，并分别探讨了在目、总科、科及种分类阶元上这些数学特征在昆虫分类中的应用可能性和可靠性，利用聚类分析从数学形态学角度对所涉及到的同阶元昆虫类群的亲缘关系做了描述。

At the same time,Archimedes gives an exact proof on the formula of area of circle,with the method of exhaustion method depending on the Cyclotomic.

刘徽之前，希腊的阿基米德用穷竭法也证明了圆的面积公式。其中，刘徽的证法强调计算的程序性和构造性，而阿基米德则倾向于演绎的严谨性。

The world's largest, best designed, and most expensive sailing yacht, the famous 289-ft. Maltese Falcon, has been listed for sale via global online luxury marketplace List for $130 million. Built by Perini Navi for venture capitalist Tom Perkins in 2006, it remains the ne plus ultra of sailing superyachts, a masterpiece of technology and design, and was recently featured on the cover of Luxury Toys: Top of the World. Her revolutionary sailing system - the DynaRig - set a new milestone in yachting history: three self-standing and rotating masts hosting 15 sails for a total sail area of 25,791 square feet for unrivaled, performance maneuverability and record-shattering speed; she can complete Atlantic crossings in ten days.

【马耳他猎鹰，著名的有着289英尺长世界最大设计最好也是价格最贵的帆船，已通过全球在线奢侈品市场出售，开价一亿三千万美圆。2006年设计师 Perini Navi 为投资家 Tom Perkins 建造，至今仍拔得超级帆船的头筹，一个科技和设计的杰作，并且作为杂志的封面特写报道：她的世界顶级的革命性风帆系统--动态桅杆系统--在豪华游艇的历史里树立了新的里程碑：三个自动竖起并且旋转的主桅杆支撑着15片帆叶总共超过25791平方英尺的面积，无可匹敌的卓越可操作性能以及破记录的速度，使得她能在10天内完成穿越大西洋的航行。

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。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。