 ALL the objects of human reason or enquiry may naturally be divided into two kinds, to wit. Relations of Ideas, and Matters of Fact. Of the first kind are the sciences of Geometry, Algebra, and Arithmetic; and in short, every affirmation which is either...  The Principles of Psychology - Side 342av Herbert Spencer - 1882Uten tilgangsbegrensning - Om denne boken
 | Isaac Watts - 1754 - 772 sider
...and 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... | |
 | David Hume - 1804 - 552 sider
...intuitively or dein'onstratively certain. That the square of the hypotbenus-e if equal to the square of the two sides, is a proposition which expresses...relation between these figures. 'That- three- times Jive is equal to the half of thirty, expresses' -a.- relation between these numbers. Propositions of... | |
 | David Hume - 1817 - 528 sider
...divided into two kinds, to wit, Relations of Ideas, and Matters of Fact. Of the first kind are the sciences of Geometry, Algebra, and Arithmetic ; and...That the square of the hypothenuse is equal to the square of the two sides, is a proposition which expresses a relation between these figures. That three... | |
 | David Hume - 1817 - 540 sider
...divided into two kinds, to Wit, Relations of Ideas, and Matters of Fact. Of the first kind are the sciences of Geometry, Algebra, and Arithmetic; and...or demonstratively certain. That the square of the hypothemtsc is equal to the square of the two sides, is a proposition which expresses a relation between... | |
 | Ralph Griffiths, George Edward Griffiths - 1818 - 596 sider
...,'.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,... | |
 | 1818 - 594 sider
...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 ?... | |
 | George Gordon Byron Baron Byron - 1821 - 404 sider
...the 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... | |
 | George Crabb - 1823 - 704 sider
...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.)... | |
 | Voltaire - 1824 - 422 sider
...corresponding sides, the areas of the circles will also be proportional to the squares of their radii. Thus, as the square of the hypothenuse is equal to the squares of the two sides, a circle, of which this hypothenuse is the radius, will be equal to two circles having for their radii... | |
 | Voltaire - 1824 - 432 sider
...the ureas of the circles will also be proportional .to the squares of their radii, . . . . Thus, as the square of the hypothenuse is equal to the squares of the two sides, a circle, of which this hypothenuse is, the radius, will be equal to two circles having for their radii... | |
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