An Elementary Treatise On Mechanics Microform Comprehending the Doctrine of Eq
An Elementary Treatise On Mechanics Microform Comprehending the Doctrine of Eq
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We hence deduce the following propositions.
330. If two heavy bodies, setting out at the same time from the point D, descend, one along the plane DE, and the other in p . 15g the direction of the perpendicular DF, and we would know in what part of the plane DE the first would be, when the second had arrived at any given point A, we have only to let fall from the point A upon DE the perpendicular AB ; and the point B will be the place sought. Indeed if we represent by g the velo- city that gravi...ty communicates to a free body in one second, by calling t the time employed in describing DA, we shall have L on the other hand the velocity acquired in a second by the body that descends along the plane DE, is - ; accordingly by calling /' the time employed in descending from D to B, we shall have DB - g * DF X ' t' 2 - UK _ ^ X t, 208 Dynamics.
whence, DA : DB :: :: DE X t 2 : DF X t' 2 .
But by similar triangles, Gfjom.
213. DA : DB :: DE : DF; consequently, DE : DF : : DE X t* : DF X *' 2 ; therefore, /'2 _ j 2 or // = (f Fie.
What to read after An Elementary Treatise On Mechanics Microform Comprehending the Doctrine of Eq?
You can find similar books in the "Read Also" column, or choose other free books by Farrar John to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
We hence deduce the following propositions.
330. If two heavy bodies, setting out at the same time from the point D, descend, one along the plane DE, and the other in p . 15g the direction of the perpendicular DF, and we would know in what part of the plane DE the first would be, when the second had arrived at any given point A, we have only to let fall from the point A upon DE the perpendicular AB ; and the point B will be the place sought. Indeed if we represent by g the velo- city that gravi...ty communicates to a free body in one second, by calling t the time employed in describing DA, we shall have L on the other hand the velocity acquired in a second by the body that descends along the plane DE, is - ; accordingly by calling /' the time employed in descending from D to B, we shall have DB - g * DF X ' t' 2 - UK _ ^ X t, 208 Dynamics.
whence, DA : DB :: :: DE X t 2 : DF X t' 2 .
But by similar triangles, Gfjom.
213. DA : DB :: DE : DF; consequently, DE : DF : : DE X t* : DF X *' 2 ; therefore, /'2 _ j 2 or // = (f Fie.
What to read after An Elementary Treatise On Mechanics Microform Comprehending the Doctrine of Eq?
You can find similar books in the "Read Also" column, or choose other free books by Farrar John to read onlineMoreLess
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