Elementary algebra, with brief notices of its history1879 |
طبعات أخرى - عرض جميع المقتطفات
Elementary Algebra: With Brief Notices of Its History <span dir=ltr>Robert Potts</span> لا تتوفر معاينة - 2023 |
عبارات ومصطلحات مألوفة
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
مقاطع مشهورة
الصفحة 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.
الصفحة 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.
الصفحة 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...
الصفحة 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.
الصفحة 16 - The number of square units in the area of a rectangle...
الصفحة 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.
الصفحة 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...
الصفحة 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.
الصفحة 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...
الصفحة 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...