conic as
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7/21/2019 Conic As
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=
= =
− = −
=
= =
7/21/2019 Conic As
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− = −− = −
= =
=
− = −
∴ − = −
− = −
=
= =
= =
=
= − = − =
= = −
=
+ = − = − =
= − − = −
− − + =
=
°
+ = + = − =
= − − = −
− − + =
=
− = − = − =
− = − − = −
=
= =
=
7/21/2019 Conic As
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+ − + =
+ + − =
−
−
= + = =
+ = + = −
= −
+ − =
= = = −
− = −
=
= −
∴ = −
=
=
+= =
− = −
→ − = −
= =
− = −
− − + =
− + = −
− = −
− = −
∴ = =
°
= = =
→ =
= = − = −
− = −
7/21/2019 Conic As
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=
− = −
∴ − = −
− − + =
− + = −
− = −
− = −
→ = =
→ =
∴ =
+
= =
= − = −
− = −
= =
∴ − = −
=
+ = → =
∴ = =
+=
+
+=
+
∴ =
+ − + =
− + = − −
− = − +
− = −
= −
= −
=
∴ = − =
+ + − =
+ + = − +
+ = − −
− = −
= = −
=
+ =
− =
∴ =
−
7/21/2019 Conic As
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+= = −
→ = −
− = −+ =
= −
= =
∴ + =
= −
=
= −= −
=
− + =
∆ =
− = → =
− + =
− + =
→ =
→ = + =
+ − =
− + = −
− = − −
=
=
= −
− = − −
= = =
+ =
+ =
+ =
= = <
=
7/21/2019 Conic As
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−
+ = + = + =
+ = + =
+ = + = + =
+ = + =
+ =
−
+ = + = + =
+ = + =
+ =
+ =
−
+ = + = + =
+ = + =
+ =
α −
α
+ = + = + =
+ = + =
+ = + = + =
+ = + =
− − − −+ = + =
− − − −+ = + =
− −+ =
+ + − =
7/21/2019 Conic As
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+ =
= − = − = −
= − = −
−
+ =
+ =
= =+ =
∴ + = → + =
=
= =
+ =
+ =
+ =
+ =
+ =
= = → =
=
=
=
=
θ
°
= =
∴ =
−
=
=
+ = → + =
−
−+ = → =
+ =
+ =
+ =
→ = = =
= =
=
=
=
=
= =
∴ =
7/21/2019 Conic As
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=
=
=
=
=
= =
= +
→ =
=
+ =
+ =
→ = = =
=
=
=
=
=
=
∴ =
−
=
= = → =
= − → = −
=
+ = → + =
α
+ = → = =
=
=+ =
α
α
+= = +
∴ − =
= =
→ = = =
=
=
=
= =
= =
=
+ =
+ =
∴ + =
=
=
=
→ =
= → =
+ =
∴ + =
7/21/2019 Conic As
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=
− −+ =
− −→ + =
+ + − =
+ + − =
+ + + − + = + +
+ + − =
+ −+ =
= = =
= + = −
=
= − + − =
+ =
+ − + − =
∆ =
− + − =
=
= −
∴ = −