Dialogues on the First Principles of the Newtonian System, Τόμος 4J. Parker, 1828 - 68 σελίδες |
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Σελίδα 38
... twice the rectangle CD , DB . But the rectangle AD , BD consists of the square of DB and twice the rectangle CD , DB ; and therefore only requires the addition of the square of CD to complete the square of CB . A. This proposition is ...
... twice the rectangle CD , DB . But the rectangle AD , BD consists of the square of DB and twice the rectangle CD , DB ; and therefore only requires the addition of the square of CD to complete the square of CB . A. This proposition is ...
Σελίδα 49
... twice by R , we shall convert it into the second , ; and therefore the force may be said to vary as VRR or ( dividing both the dividend and divisor by V ) that is , as R ... twice multiplying by , we twice divide by , or DIALOGUE VII . 49.
... twice by R , we shall convert it into the second , ; and therefore the force may be said to vary as VRR or ( dividing both the dividend and divisor by V ) that is , as R ... twice multiplying by , we twice divide by , or DIALOGUE VII . 49.
Σελίδα 50
Walter Henry Burton. twice multiplying by , we twice divide by , or by the periodical time which that fraction repre- becomes con- sents ; and thus the fraction R RVV RR verted into ; and the force is found to vary as TT the radius ...
Walter Henry Burton. twice multiplying by , we twice divide by , or by the periodical time which that fraction repre- becomes con- sents ; and thus the fraction R RVV RR verted into ; and the force is found to vary as TT the radius ...
Σελίδα 52
... twice as great as if we stopped at 1 , and so if we stop at 3 , or 31⁄2 , it will be 3 times , or 3 times as great , and so on . Wherever we stop , therefore , the sum of the series will always be equal to the term at which we stop ...
... twice as great as if we stopped at 1 , and so if we stop at 3 , or 31⁄2 , it will be 3 times , or 3 times as great , and so on . Wherever we stop , therefore , the sum of the series will always be equal to the term at which we stop ...
Σελίδα 54
... twice by itself , the product is 216,000 ; and the square root of that number is nearly 465. Allowing therefore for a trifling inaccuracy in the round numbers here made use of , or even in the measurements from which they are taken , we ...
... twice by itself , the product is 216,000 ; and the square root of that number is nearly 465. Allowing therefore for a trifling inaccuracy in the round numbers here made use of , or even in the measurements from which they are taken , we ...
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Dialogues on the First Principles of the Newtonian System Walter Henry Burton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2009 |
Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angle ABC angle ACB angle MPH arithmetical progression ascertain attraction bisect centre of gravity centripetal force circle circumference common centre curve curvilinear figure ABC definite diagonal DIALOGUE diameter difference direction divided drawn parallel ellipses equal bases exterior angle fixed point fraction greater hypothenuse indefinitely small portion instance law of motion line BD line be drawn line drawn magnitude monstration moon move multiplying number of equal number of longitudinal number of terms observed orbit parallel lines parallelogram pass perpendicular planets produced Prop proportional proportionate proposition prove quantities of matter quotient radii radius rallel ratio rectangle CD rection represented respectively equal right angles round the earth SBD is equal single impulse space square described square of CD square root straight line sun's supposed supposition thing three angles three sides tion triangle ABC uniform velocity wind XXIII
Δημοφιλή αποσπάσματα
Σελίδα 2 - Certainly, it is heaven upon earth, to have a man's mind move in charity, rest in providence, and turn upon the poles of truth.
Σελίδα 2 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 19 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Σελίδα 37 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Σελίδα 2 - Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal...
Σελίδα 10 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 51 - Multiply one half the sum of the first and last terms by the number of terms. Thus, the sum of eight terms of the series whose first term is 3 and last term 38 is 8 x * (3 + 38) = 164.
Σελίδα 19 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Σελίδα 38 - Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional.
Σελίδα 6 - Then, because the three angles of every triangle are together equal to two right angles, [I.