# Why am I not getting it?

I got this statement from a maths reference book,

"Family of circles circumscribing a triangle whose sides are given by $${ L }_{ 1 }=0, { L }_{ 2 }=0$$ & $${ L }_{ 3 }=0$$ is given by : $${ L }_{ 1 }{ L }_{ 2 }+\lambda { L }_{ 2 }{ L }_{ 3 }+\mu { L }_{ 3 }{ L }_{ 1 }=0$$ provided co-efficient of $$xy=0$$ and co-efficient of $${ x }^{ 2 }$$=co-efficient of $${ y }^{ 2 }$$."

I didn't understand this statement. Intersection of $${ L }_{ 1 }=0,{ L }_{ 2 }=0$$ & $${ L }_{ 3 }=0$$ gives three unique points and we know that one and only one circle passes though three non-collinear points. So how could a family of circles exist?

Note by Anandhu Raj
2 years, 4 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$