《美國(guó)中學(xué)幾何》內(nèi)容簡(jiǎn)介：We are honored and happy to bring this classic Arithmetic by Joseph Ray. These popular books sold more than any other arithmetic in America, in fact over 120 million copies and are still used in modern American schools and families. As you can see, this set of Arithmetic textbooks is organized in an orderly manner around the discipline of arithmetic itself.
Ray emphasized critical thinking in his classroom. He believed that his students needed to learn how to apply what they learned to real-life situations. Rather than giving his pupils simple problems to solve, he preferred word problems. Students can increase their reading comprehension skills, and learn to think.
This is an extraordinary math text beyond what would be found in any high school anywhere. It is 600 pages and is concerned with the geometry of conics and should be studied by the advanced student.
作者簡(jiǎn)介：
Joseph Ray was born on November 25, 1807, in Ohio County, Virginia. He attended local schools and quickly proved himself to be an adept student. By the time he was sixteen, he had begun a career as a teacher. In 1825, Ray enrolled in Franklin College in New Athens, Ohio. While a student at Franklin College, Ray studied medicine under Joel Martin. Upon graduating from college in 1828, Ray enrolled in the Medical College of Ohio, located in Cincinnati. During the winter he attended college, and during the summers, he taught school. He graduated in 1831.
Ray is most famous for authoring mathematical textbooks. By the end of the nineteenth century, Ray's texts had become the most widely used math books in the United States, with sales approaching 120 million copies. For a time, they were the most used textbooks across all disciplines. William McGuffey, a colleague of Ray's at Woodward College, eventually produced a series of English readers.
Ray was a member of the Ohio State Teachers Association and served as that organization's president in 1853. In 1854, he became an associate editor for The Ohio Journal of Education. He died on April 11, 1855, from tuberculosis.
約瑟夫·雷伊教授于1807年出生于美國(guó)弗吉尼亞俄亥俄縣，小時(shí)在地方學(xué)校接受教育，學(xué)業(yè)優(yōu)秀。16歲時(shí)，他就開(kāi)始步入其教師生涯，1825年到富蘭克林學(xué)院求學(xué)，跟隨喬爾·馬丁教授學(xué)習(xí)醫(yī)學(xué)。1828年畢業(yè)后進(jìn)入俄亥俄醫(yī)學(xué)院學(xué)習(xí)，1831年畢業(yè)。大學(xué)畢業(yè)后，他在辛辛那提的伍德沃德中學(xué)找了份當(dāng)教師的工作，開(kāi)始教數(shù)學(xué)。1836年，俄亥俄司法當(dāng)局準(zhǔn)許伍德沃德中學(xué)由高中升格為辛辛那提伍德學(xué)院，雷伊成為該學(xué)院的一名教授。1851年，該校以變?yōu)橐凰⒏咧�，雷伊一直在此�?dān)任校長(zhǎng)，直至去世。
雷伊最杰出的貢獻(xiàn)是他編寫(xiě)的系列數(shù)學(xué)教材，并以此聞名。這套數(shù)學(xué)課本與他在伍德學(xué)院的同事麥加菲編寫(xiě)的《美國(guó)語(yǔ)文讀本》，一同被作為美國(guó)學(xué)校的語(yǔ)文和數(shù)學(xué)教材，近50年內(nèi)，美國(guó)上萬(wàn)學(xué)校使用這兩套教材，累計(jì)銷(xiāo)量均超過(guò)1.22億冊(cè)，對(duì)美國(guó)教育產(chǎn)生了極大影響。
雷伊教授對(duì)俄亥俄州的教師職業(yè)培訓(xùn)也發(fā)揮了很大作用，他幫助建立西部文化中心與職業(yè)教師學(xué)院，將好的教學(xué)技術(shù)與經(jīng)驗(yàn)傳授給老師。他加入俄亥俄州教師協(xié)會(huì)成員，并于1853年任其會(huì)長(zhǎng)，此外還擔(dān)任《俄亥俄教育》雜志社的副總編。
目錄：
THE NATURE，DIVISIONS，AND METHOD OF THE SCIENCE.1
�、�.DETERMINATE GEOMETRY.4
Ⅱ.INDETERMINATE GEOMETRY. 24
BOOK I PLANE CO-ORDINATES
PART Ⅰ.THE REPRESENTATION OF FORM BY ANALYTIC SYMBOLS
CHAPTER 1 THE OLDER GEOMETRY：BILINEAR AND POLAR CO-ORDINATES. .48
�、�. THE POINT48
Ⅱ. THE RIGHT LINE.77
�、�. PAIRS OF RIGHT LINES.129
Ⅳ. THE CIRCLE.138
�、�. THE ELLIPSE.148
�、�. THE HYPERBOLA168
�、�. THE PARABOLA180
Ⅷ. LOCUS OF SECOND ORDER IN GENERAL 193
CHAPTER 2 THE MODERN GEOMETRY：TRILINEAR AND TANGENTIAL CO-ORDINATES199
�、�.TRILINEAR CO-ORDINATES199
Ⅱ.TANGENTIAL CO-ORDINATES.224
PART Ⅱ. THE PROPERTIES OF CONICS.
CHAPTER 1. THE RIGHT LINE .245
CHAPTER 2. THE CIRCLE.259
CHAPTER 3 THE ELLIPSE.296
�、�.THE CURVE REFERRED TO ITS AXES296
Ⅱ.THE CURVE REFERRED TO ANY TWO GONJUGATES 335
�、�.THE CURVE REFERRED TO ITS FOCI354
�、�.AREA OF THE ELLIPSE357
�、�.EXAMPLES ON THE ELLIPSE358
CHAPTER 4. THE HYPERBOLA362
�、�.THE CURVE REFERRED TO ITS AXES 362
�、�.THE CURVE REFERRED TO ANY TWO CONJUGATES399
�、�.THE CURVE REFERRED TO ITS FOCI413
Ⅳ.THE CURVE REFERRED TO ITS ASYMPTOTES 414
�、�.AREA OF THE HYPERBOLA.428
�、�.EXAMPLES ON THE HYPERBOLA428
CHAPTER 5. THE PARABOLA.430
�、�.THE CURVE REFERRED TO ITS AXIS AND VERTEX 430
�、�.THE CURVE IN TERMS OF ANY DIAMETER. 454
Ⅲ.THE CURVE REFERRED TO ITS FOCUS. 467
�、�.AREA OF THE PARABOLA468
�、�.EXAMPLES ON THE PARABOLA.470
CHAPTER 6. THE CONIC IN GENERAL.472
BOOK II CO-ORDINATES IN SPACE
CHAPTER 1. THE POINT.513
CHAPTER 2. LOCUS OF FIRST ORDER IN SPACE.525
CHAPTER 3. LOCUS OF SECOND ORDER IN SPACE542
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