Dialogues on the First Principles of the Newtonian System, Τόμος 4J. Parker, 1828 - 68 σελίδες |
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Σελίδα 32
... quantity of matter which it contains , or how many Alps or Andes must be thrown into the opposite scale to produce an equi- librium ; but merely to ascertain the proportion of its actual weight to that which it would have if removed to ...
... quantity of matter which it contains , or how many Alps or Andes must be thrown into the opposite scale to produce an equi- librium ; but merely to ascertain the proportion of its actual weight to that which it would have if removed to ...
Σελίδα 39
... quantities , we have equal remainders , which are the rectangle and square first mentioned . And hence it is easy to show , that if a straight Prop.XXII . line be drawn from D to B , the square of that line will be equal to the ...
... quantities , we have equal remainders , which are the rectangle and square first mentioned . And hence it is easy to show , that if a straight Prop.XXII . line be drawn from D to B , the square of that line will be equal to the ...
Σελίδα 43
... quantities one may be greater , in any ratio , than the other . Thus , let the line AB be divided into any number of equal parts , as AC , CD , DB : from its extremity B , let BE be drawn at random , and let CF and DG be drawn parallel ...
... quantities one may be greater , in any ratio , than the other . Thus , let the line AB be divided into any number of equal parts , as AC , CD , DB : from its extremity B , let BE be drawn at random , and let CF and DG be drawn parallel ...
Σελίδα 46
... quantities are in a certain ratio the one to the other , which ratio they retain through all their changes ; if you mul- tiply the one always by one certain number , and the other by one other certain number , the ratio will indeed be ...
... quantities are in a certain ratio the one to the other , which ratio they retain through all their changes ; if you mul- tiply the one always by one certain number , and the other by one other certain number , the ratio will indeed be ...
Σελίδα 47
... quantities . A. That , to be sure , is evident . B. But now suppose these multipliers them- selves to vary , only ... quantity by three , and the other by seven , or the one by six , and the other by fourteen , or the one by nine ...
... quantities . A. That , to be sure , is evident . B. But now suppose these multipliers them- selves to vary , only ... quantity by three , and the other by seven , or the one by six , and the other by fourteen , or the one by nine ...
Άλλες εκδόσεις - Προβολή όλων
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.