Proofs by Sight

< 29.3 Logic &amp; Proof – 2 | Topic Index | 29.5 Euclid’s Fifth Postulate >

Math is a conceptual discipline where visual methods are very powerful. There are many proofs in math which can be &ldquo;seen&rdquo; without any need for verbal explanations. We will take up 3 examples. (We will provide a textual explanation since the chapter is about learning about such proofs.)

Pythagoras Theorem



(a + b)2 = a2 +2ab + b2



Sum of Consecutive Odd Numbers is a Square

1 + 2 + 3 +&hellip;&hellip;.. n + (n-1) + (n-2) &hellip;&hellip;.. 3 + 2 + 1 = n2



< 29.3 Logic &amp; Proof – 2 | Topic Index | 29.5 Euclid’s Fifth Postulate >