...easy of comprehension. What should we think of a mathematician who should say I will not believe that the square of the hypothenuse is equal to the squares of the sides of a right-angled triangle unless I have ocular demonstration of the facts ? And what do we think...

...opinions that there must necessarily be hostile mathematical sects; some affirming, and some denying that the square of the hypothenuse is equal to the squares of the sides. But we do not think either the one analogy or the other of the smallest value. Our way of ascertaining...

...,'.I asked the Japanese academician whether he was perfectly convinced that in a right angled triangle the square of the hypothenuse is equal to the squares of the other two sides ? He answered in the affirmative. I then asked how they were certain of this fact,...

...demonstrate geometrical truths, I asked whether they were perfectly convinced that in a rightangled triangle the square of the hypothenuse is equal to the squares of the other two sides ? He answered in the affirmative. I then asked how they were certain of this fact ?...

...schools is of the CANINE SPECIES , and not very intelligible. (3) The discovery of Pythagoras , that the square of the hypothenuse is equal to the squares of the other two sides of a right angled triangle. Whose daring revels shock the sight, When vice and infamy...

...right angle, as BC in the annexed diagram. According to the 47th Proposition ' of Euclid's Elements, the square of the hypothenuse is equal to the squares of the other two sides, as B C1 = BA* -f AC* ie the square BE equal to the squares BGandCH. HYPOTHESIS (Rltet.)...

...•-•• ' *ii • i" •: -'i ' • ' " ther as the squares of their corresponding sides, the ureas of the circles will also be proportional .to the squares...basin of water as large as two other basins together. . j.,-Cjie circle can be doubled exactly, though it cannot be exactly squared. When accustomed thus...

...demonstrate geometrical truths, I asked whether they were perfectly convinced that in a right-angled triangle the square of the hypothenuse is equal to the squares of the other two sides ? He answered in the affirmative. I then asked how they were certain of this fact,...

...demonstrate geometrical truths, I asked whether they were perfectly convinced that in a right-angled triangle the square of the hypothenuse is equal to the squares of the other two sides ? He answered in the affirmative. I then asked how they were certain of this fact,...

...that the morning and evening star was the same, and demonstrated that in every right angled triangle the square of the hypothenuse is equal to the squares of the other two sides. It is said that he was so transported with the discovery of this famous theorem, that...