...close resemblance to inductive reasoning. When in the fifth proposition of the first book of Euclid we prove that the angles at the base of an isosceles triangle are equal to each other, it is done by taking one particular -triangle as an example. A figure is given which...

...observations which are essentially similar to, however superficially different from, those by which I know that the angles at the base of an isosceles triangle are equal. It is impossible, it seems to me, to have evidence greater than that which we have for the several...

...understand, but to work out for ourselves the famous fifth proposition. We are required to show : .., (1) That the angles at the base of an isosceles triangle are equal. (2) That if the equal sides are produced the angles on the other side of the base are equal. Draw an...

...consequences, is a thing to be shunned and detested, is surely as obvious and infallible a truth, as that the angles at the base of an isosceles triangle are equal. No conceivable array of alleged or supposed proofs to the contrary,—and we may safely add, no accumulation...

...how the process of de*°n'"se*!]'*j?" duction is applied to the elements and processes of geometriPle cal demonstration which we have described. This will...geometry, BI, it is proposed to prove that the angles ut the base of an isosceles triangle are equal. The first step is to prepare the diagram hy producing...

...of black boards to lay misshapen white eggs. 'Now, young gentlemen,' says Glanville, taking snuff, ' prove that the angles at the base of an isosceles triangle are equal.' He motioned Algy to try first. The unfortunate youngster tried, and produced a network of nonsense...

...process always consists in showing a valid reason why the assertion should deserve belief. So again, to prove that the angles at the base of an isosceles triangle are equal to one another, means to establish the truth of that proposition ; and the manner of performing the...

...which is wanted into consciousness, ie, our general assertion is confirmed here too. Eg, if I want to pro.ve that the angles at the base of an isosceles triangle are equal to one another, I only need to remember the general proposition that in every triangle equal angles...

...which is wanted into consciousness, ie, our general assertion is confirmed here too. Eg, if I want to prove that the angles at the base of an isosceles triangle are equal to one another, I only need to remember the general proposition that in every triangle equal angles...

...which is wanted into consciousness, ie, our general assertion is confirmed here too. Eg, if I want to prove that the angles at the base of an isosceles triangle are equal to one another, I only need to remember the general proposition that in every triangle equal angles...