Elementary algebra, with brief notices of its history1879 |
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Page 10
... signs of the zodiac are identical both in the astronomy of the Greeks and the Hindus . ' But it is uncertain whether the Hindus subject to growth and improvement , and it cannot be conceived that all the words and constructions of the ...
... signs of the zodiac are identical both in the astronomy of the Greeks and the Hindus . ' But it is uncertain whether the Hindus subject to growth and improvement , and it cannot be conceived that all the words and constructions of the ...
Page 15
... signs is one year , and one of those years is a Deva day , or day of the gods . " Sir William Jones , in an essay on the Chronology of the Hindus , written in 1788 , and printed in the second volume of the Asiatic Researches , has shown ...
... signs is one year , and one of those years is a Deva day , or day of the gods . " Sir William Jones , in an essay on the Chronology of the Hindus , written in 1788 , and printed in the second volume of the Asiatic Researches , has shown ...
Page 23
... signs and other devices . " The initial syllables of words and of the names of colours , as well as single letters , were assumed to denote unknown numbers . A nega- tive quantity was distinguished by a dot or point placed over the ...
... signs and other devices . " The initial syllables of words and of the names of colours , as well as single letters , were assumed to denote unknown numbers . A nega- tive quantity was distinguished by a dot or point placed over the ...
Page 4
... signs from the same side of an equation ; as , for example , if thing added to square be equal to square added to four , then thing is equal to four ; 1 Mr. Rosen illustrates the meaning of the word by a passage in Arabic from Motanabbi ...
... signs from the same side of an equation ; as , for example , if thing added to square be equal to square added to four , then thing is equal to four ; 1 Mr. Rosen illustrates the meaning of the word by a passage in Arabic from Motanabbi ...
Page 22
... signs + and − . He describes a work on Arithmetic by John Widman , of Eger , printed at Leipsic in 1489 , which contains the earliest instances known of the employment of these signs . The Professor remarks : " I observe that the ...
... signs + and − . He describes a work on Arithmetic by John Widman , of Eger , printed at Leipsic in 1489 , which contains the earliest instances known of the employment of these signs . The Professor remarks : " I observe that the ...
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Common terms and phrases
a+b+c a²+b² Algebra arithmetical progression binomial biquadratic calculus coefficients consist contains cube numbers cube root cubic equation decimal denominator determined digits divided dividend divisible equal Euclid Euclid's Elements expression extraction factors find the number find the value fluxions four fourth fraction geometrical progression given equation greater harmonical means Hence highest common divisor involving jebr least common multiple Leibnitz less letters mathematical means method method of fluxions multiplied natural numbers negative quantity Newton number ends number of terms positive integer published quadratic equation quotient ratio reduced remainder respectively result second equation second term shew shewn side signs solution square numbers square root substituted subtraction symbols theorem things third tion treatise unity unknown quantities
Popular passages
Page 34 - ... la diversité de nos opinions ne vient pas de ce que les uns sont plus raisonnables que les autres, mais seulement de ce que nous conduisons nos pensées par diverses voies, et ne considérons pas les mêmes choses. Car ce n'est pas assez d'avoir l'esprit bon, mais le principal est de l'appliquer bien.
Page 34 - Le bon sens est la chose du monde la mieux partagée ; car chacun pense en être si bien pourvu , que ceux même qui sont les plus difficiles à contenter en toute autre chose n'ont point coutume d'en désirer plus qu'ils en ont.
Page 61 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any...
Page 28 - As a blind man has no idea of colors, so have we no idea of the manner by which the all-wise God perceives and understands all things. He is utterly void of all body and bodily figure, and can therefore neither be seen, nor heard, nor touched ; nor ought he to be worshipped under the representation of any corporeal thing. We have ideas of his attributes, but what the real substance of anything is, we know not.
Page 16 - The number of square units in the area of a rectangle...
Page 11 - But the answer is easy; for by the ultimate velocity is meant that with which the body is moved, neither before it arrives at its last place and the motion ceases, nor after, but at the very instant it arrives; that is, that velocity with which the body arrives at its last place, and with which the motion ceases.
Page 27 - This most beautiful system of the Sun, planets and comets could only proceed from the counsel and dominion of an Intelligent and Powerful Being. And if the fixed stars are the centers of other like systems, these being formed by the like wise counsel, must be all subject to the dominion of One...
Page 56 - Prove that if any number of quantities be in continued proportion, as one of the antecedents is to its consequent so is the sum of all the antecedents to the sum of all the consequents.
Page 17 - Collins, dated between the years 1669 and 1677, inclusive; and showed them to such as knew and avouched the hands of Mr. Barrow, Mr. Collins, Mr. Oldenburg, and Mr. Leibnitz ; and compared those of Mr. Gregory with one another, and with copies of some of them taken in the hand of Mr. Collins...
Page 11 - ... instant it arrives ; that is, that velocity with which the body arrives at its last place, and with which the motion ceases. " And in like manner, by the ultimate ratio of evanescent quantities...