When a right triangle with one side of those about the right angle remains fixed is carried round and restored again to the same position from which it began to be moved, the figure so comprehended is a cone. And, if the straight line which remains fixed equals the remaining side about the right angle which is carried round, the cone will be right-angled; if less, obtuse-angled; and if greater, acute-angled.
Definition 19
The axis of the cone is the straight line which remains fixed and about which the triangle is turned.
Definition 20
And the base is the circle described by the straight line which is carried round.
The right triangle ABC with right angle at A is rotated about the side AC to produce a cone. The axis of the cone is AC, and its base is the circle with center at A and radius AB.
Conics. In Euclid’s time conic sections ere taken as the intersections
of
a plane at right angles
to an edge
(straight line from the vertex)
of a cone.
When the cone is acute-angled, the section is an ellipse;
when right-angled, a parabola;
and when obtuse-angle, a hyperbola.
Even the names of these three curves were given by the kind of angle, so, for instance, Euclid k new
a parabola as a “section of a right-angled cone.”
Apollonius named them ellipse
parabola
hyperbola
Suppose a ball ((())) is μετρό with a force of forces at position ((()))
...:... ον α τ Ακα ΤΣΣΔ ΥΠ
θε Ομπιεκτ δελιβερινγκ της φορσσε το της ποιντ at position ((()))
at a velocity of ΘΘ 88 sets of 5280 sets of 12 per unit of the you knit circle
sliced into 24 equal cones of 60 equal cones of 60 equal cones at the third level down where 24 χ 60 χ 60 = 86400 are marked off the at the on ramp of the next
addition to the subtraction from the 360 commonly known and εξπτικαλλυ loved sections containing commonly 60 sections of commonly 60 seconds which are thirds in the plane of space containing the space of planes at minute intervals of hourly loved interval Ζάζα
seen pair of interval ate ing interval eyez ing at ion often seen (...+...)
as the intersection of two lines rather than the lack of intersection of three lines
masquerading as circular chords in a cordless slow sigh ity
as thirds in stead given the third power of seconds manifest in a minute
making up hours of calcu lost calculating along the wrong Y road taken...:...:...
Suppose the force of forces delivering the force to the former circle
now a sphere
due to the force of forces forcing the here into the there as the tee takes
flight...:\))/...\.../...:...\
at an angle of 30 degrees from the horizontal
=====...\:...====
We want to find:
1 the maximum height flown to by the recovering sphere
1.b the horizontal distance flown to weigh less ness arrest at apex
2 the horizontal distance flown by the sphere recovered from the dent
3 the horizontal hyperbola of possible di vers ion from the L ion :.
4 the pile of seconds in the minutes in the hour in which said forces fly forth
5 the sum of the weights adding to the weight of the ball on the ΠΛΣ
δ της συμ οφ της Weight s of the forcer forcing the circle into a sphere
First, let’s find the initial horizontal and vertical velocity.
The horizontal velocity using trigonometry is cos(30)*40 = 34.6 m/s....40/34.6
The vertical velocity is sin(30)*40 = 20 m/s...40/20
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