Søk Bilder Maps Play YouTube Nyheter Gmail Disk Mer »
Logg på
 Bøker Bok
Let it be granted that a straight line may be drawn from any one point to any other point.
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 11
av Euclid, Robert Simson - 1821 - 516 sider
Uten tilgangsbegrensning - Om denne boken

## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 sider
...Let it be granted, that a straight line may be drawn from any one point, to any other point : f 2. That a terminated straight line may be produced to any length in a straight line : , 3. That a circle may be described from any centre, at any distance from that centre. J AXIOMS....
Uten tilgangsbegrensning - Om denne boken

## The English Journal of Education, Volum 3

1845
...By the whole of any quantity we understand the sum of all its parts ; thus, AB = AD + DC + CB. 70. " Things which are equal to the same are equal to one another " ; that is, if a = m and b = m, a is equal to b. 71. In any arithmetical operation, " quantities which...
Uten tilgangsbegrensning - Om denne boken

## The Quarterly Review

...discovery, that both languages admit of the same Erse interpretation, upon the geometrical principle that things which are equal to the same are equal to one another. This argument however depends for its validity on the accuracy of his remaining assumption, that the...
Uten tilgangsbegrensning - Om denne boken

## The Elements of Geometry, Symbolically Arranged

...I. Let it be granted, that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same or equal things, are equal to one another. II. If equals...
Uten tilgangsbegrensning - Om denne boken

## The Elements of Geometry, Symbolically Arranged

...I. Let it be granted, that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same or equal things, are equal to one another. II. If equals...
Uten tilgangsbegrensning - Om denne boken

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 sider
...POSTULATES. 1. LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1...
Uten tilgangsbegrensning - Om denne boken

## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...POSTULATESLet it be granted, i. That a straight line may be drawn from any one point to any other point : n. That a terminated straight line may be produced to any length in a straight line : in. That a circle may be described from any centre, at any distance from that centre. AXIOMS. i....
Uten tilgangsbegrensning - Om denne boken

## A System of Logic, Ratiocinative and Inductive: Being a Connected View of ...

John Stuart Mill - 1846 - 593 sider
...which may bo .so applied to one another as to coincide ;" the three axioms which follow, (Magnitudes which are equal to the same are equal to one another — If equals are added to equals the sums are equal — If equals are taken from equals the remainders are equal,)...
Uten tilgangsbegrensning - Om denne boken

## An Historical and Critical View of the Speculative Philosophy of ..., Volum 1

John Daniel Morell - 1846 - 536 sider
...judgments, as we have seen in our analysis of Locke, are at first particular and concrete. The axiom, " things which are equal to the same are equal to one another," never suggests itself to a child's mind. and yet as soon as reason is developed enough to observe equality,...
Uten tilgangsbegrensning - Om denne boken

## The Biblical review, and Congregational magazine [formerly The ..., Volum 4

1847
...proved by the use of axioms in the form of propositions, that is not itself evident. The axiom, that things which are equal to the same are equal to one another, is not the proof that A and B, being equal to C, are themselves equal. The latter truth, which is particular,...
Uten tilgangsbegrensning - Om denne boken