...two right Angles, or that the Square of the Hypotenufe of a right-angled 'Triangle is equal to the Sum of the Squares of the two Sides ; the Ploughman, who has but contufed Ideas of thefe Things, may firmly and fafely believe thefe Propofitions upon the fame Ground,...

...two right angles, or that the square of the hypotenuse of 'a right-angled triangle is equal to the sum of the squares of the two sides; the ploughman,...may object against this representation of things, 5rtd say, that " We cannot properly be said to belt eve a proposition any farther than " we ourselves...

...two right angles, or that the square of the hypoihenuse of a right-angled triangle is equal to the sum of the squares of the two sides ; the ploughman...these propositions, upon the same ground, because bebas evidence of the skill and faithfulness of his informer*. * Perhaps юте may object againit...

...most eminent of these, at least in Geometry, which he made, may be mentioned, that the square of the hypothenuse of a right angled triangle is equal to the sum of the squares of the other two sides (see note to the 47th proposition of the 1st book); he is also said...

...most eminent of these, at least in Geometry, which he made, may be mentioned, that the square of the hypothenuse of a right angled triangle is equal to the sum of the squares of the other two sides (see note to the 47th proposition of the 1st book) ; he is also...

...science. That " a whole is greater than any of its parts,'' — that " the square described <>n the hypothenuse of a right angled triangle is equal to the sum of the squares described on its remaining sides," are facts, the one deduced from observation or simple...

...A right angled triangle, is a triangle which has one of its angles a right angle. The square of the hypothenuse of a right angled triangle is equal to the sum of the squares of the other two sides. Therefore to find the hypothenuse, square the other two sides,...

...Root; but no figure or explanation is given, excepting the following foot note. " The square of the hypothenuse of a right angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under. 44 Miles. 49 Miles. EDINBURGH....

...compelled or extorted ? Suppose an ignorant man to be assured by a geometrician that the square of the hypothenuse of a right angled triangle is equal to the sum of the squares of the other two sides; he does not comprehend the meaning of the proposition. Should he...

...angles ; and Pythagoras, besides noticing the five regular solids, discovered that the square on the hypothenuse of a right angled triangle is equal to the sum of those on the two sides. Hippocrates of Chios, by the quadrature of his famous hmulae, was the first...