Dialogues on the First Principles of the Newtonian System, Τόμος 4J. Parker, 1828 - 68 σελίδες |
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Σελίδα 11
... continual diminution or defection of energy would end in its cessation and so also its eternity is implied in its not being retarded ; for if it can proceed one inch with a velocity abso- lutely undiminished , there is no reason why it ...
... continual diminution or defection of energy would end in its cessation and so also its eternity is implied in its not being retarded ; for if it can proceed one inch with a velocity abso- lutely undiminished , there is no reason why it ...
Σελίδα 22
... continually acting force ; nor will straight lines , however diminutive , ever constitute a curve . B. There , I believe , you are right . But if I can shew you that for all purposes of reasoning and calculation they will come to the ...
... continually acting force ; nor will straight lines , however diminutive , ever constitute a curve . B. There , I believe , you are right . But if I can shew you that for all purposes of reasoning and calculation they will come to the ...
Σελίδα 25
... continually directed to a single point , such a motion round that point must ensue as is actually found in na- ture . A. True , with respect to the varying velocity of the motion ; but you have not shown me that it ought to be performed ...
... continually directed to a single point , such a motion round that point must ensue as is actually found in na- ture . A. True , with respect to the varying velocity of the motion ; but you have not shown me that it ought to be performed ...
Σελίδα 42
... continually act- ing forces are proportional to the lines through which two bodies , severally subjected to the ope- ration of those forces only , would describe in one and the same indefinitely small portion of time . A. I do not ...
... continually act- ing forces are proportional to the lines through which two bodies , severally subjected to the ope- ration of those forces only , would describe in one and the same indefinitely small portion of time . A. I do not ...
Σελίδα 44
... continual force may be regarded as a single impulse . However , it is necessary at all events that the time should be taken indefinitely small ; first , because , as the body approaches the point towards which it is attracted , the ...
... continual force may be regarded as a single impulse . However , it is necessary at all events that the time should be taken indefinitely small ; first , because , as the body approaches the point towards which it is attracted , the ...
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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.