HSC Stuff > HSC Mathematics Advanced
Plane Geometry in 2 Unit and Extension One
RuiAce:
--- Quote from: Happy Physics Land on March 22, 2016, 10:22:32 am ---I reckon when Jamon mentioned "plane geometry" he was referring to Cartesian plane
--- End quote ---
Hm.
In actuality, the Cartesian plane is just the name which we give to the coordinate system consisting of two components. Planes in are described using a vector format.
Plane geometry, typically referring to any 2D space, would probably relate more closely to the focus of Euclid's work.
It's not exactly crucial, this statement, however the syllabus refers to Euclidean geometry as "plane geometry".
jamonwindeyer:
--- Quote from: RuiAce on March 22, 2016, 10:43:25 am ---Hm.
In actuality, the Cartesian plane is just the name which we give to the coordinate system consisting of two components. Planes in are described using a vector format.
Plane geometry, typically referring to any 2D space, would probably relate more closely to the focus of Euclid's work.
It's not exactly crucial, this statement, however the syllabus refers to Euclidean geometry as "plane geometry".
--- End quote ---
I needed somewhere to stick Locus, it wasn't worth a guide by itself, so it naturally makes sense to group the geometrical principles of locus with the geometrical principles of coordinate geometry. Both operate within the cartesian plane, hence the name. I suppose it's 'colloquialisation' for the purposes of simplicity :D
RuiAce:
--- Quote from: jamonwindeyer on March 22, 2016, 12:07:05 pm ---I needed somewhere to stick Locus, it wasn't worth a guide by itself, so it naturally makes sense to group the geometrical principles of locus with the geometrical principles of coordinate geometry. Both operate within the cartesian plane, hence the name. I suppose it's 'colloquialisation' for the purposes of simplicity :D
--- End quote ---
True. Most of the time for guides at least locus isn't of really any value on it's own.
But you'd be surprised though - because the focus (hahaha) of the locus topic is so oriented off the parabola, it typically gets placed under quadratics! Of course, all of that PS=PM stuff that proceeds this stuff means that your choice to place it here is still perfectly justified :)
That aside, admittedly yes this is me being pedantic so you don't have to worry about it, but personally I would've went off the syllabus here (and quite a few textbooks) with how I named my guides, topic wise. I'm still not too sure if the Cartesian plane is exactly the best basis, as like I said it's just the set of all ordered pairs of points (x,y) with no third component!
WLalex:
For part (ii) is the gradient not t??
because its y/x when makes the t^2 on top?
jamonwindeyer:
--- Quote from: WLalex on October 21, 2016, 10:16:57 am ---For part (ii) is the gradient not t??
because its y/x when makes the t^2 on top?
--- End quote ---
I don't know how this got missed for a year and a half!! Legend mate, thanks heaps, I'll make those fixes 8)
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