Dialogues on the First Principles of the Newtonian System, Band 4J. Parker, 1828 - 68 Seiten |
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Seite 41
... revolve in their circumferences with different , but separately uniform velocities ; the degrees or quan- tities of centripetal force , by which these bodies are retained in their orbits , will be proportional to the squares of any two ...
... revolve in their circumferences with different , but separately uniform velocities ; the degrees or quan- tities of centripetal force , by which these bodies are retained in their orbits , will be proportional to the squares of any two ...
Seite 53
... revolve in a circle round the earth , just above its surface . It will be ac- curately found , by multiplying together the di- ameter of the earth and the space which the body would fall through in a second , ( which is found to be ...
... revolve in a circle round the earth , just above its surface . It will be ac- curately found , by multiplying together the di- ameter of the earth and the space which the body would fall through in a second , ( which is found to be ...
Seite 55
... revolve in circles . We have shown that in that case the centripetal force must always be as the radius di- vided by the square of the periodical time : but this square , we now find , is as the cube of the ra- dius ; the force ...
... revolve in circles . We have shown that in that case the centripetal force must always be as the radius di- vided by the square of the periodical time : but this square , we now find , is as the cube of the ra- dius ; the force ...
Seite 56
... sun ; and in the one case all the planets , in the other the moon at least , would revolve round a point which was itself in continual motion . But you J have all along supposed the centripetal force to be directed 56 DIALOGUE VIII .
... sun ; and in the one case all the planets , in the other the moon at least , would revolve round a point which was itself in continual motion . But you J have all along supposed the centripetal force to be directed 56 DIALOGUE VIII .
Seite 57
... revolve about it ; and hence we have tides in the sea , and tides also ( if I may so express my- self ) in the moon's orbit . A. Do you attribute the tides then ( I mean those of the sea ) to the attraction of the sun ? B. Partly ; but ...
... revolve about it ; and hence we have tides in the sea , and tides also ( if I may so express my- self ) in the moon's orbit . A. Do you attribute the tides then ( I mean those of the sea ) to the attraction of the sun ? B. Partly ; but ...
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Dialogues on the First Principles of the Newtonian System Walter Henry Burton Keine Leseprobe verfügbar - 2009 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 2 - If two triangles have two sides of the one equal to two sides of the...
Seite 19 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Seite 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.
Seite 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...
Seite 10 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Seite 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.
Seite 19 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Seite 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.
Seite 6 - Then, because the three angles of every triangle are together equal to two right angles, [I.