The Elements of Euclid: With Dissertations Intended to Assist and Encourage a Critical Examination of These Elements as the Most Effectual Means of Establishing a Juster Taste Upon Mathematical Subjects Than that which at Present Prevails |
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Side 7
But it will be necessary previous to this , to acquire a ready and accurate way of
expressing the different inclinations of lines , ( called angles ) by the letters of the
alphabet . The figure annexed will be a very proper one for practice and the task
...
But it will be necessary previous to this , to acquire a ready and accurate way of
expressing the different inclinations of lines , ( called angles ) by the letters of the
alphabet . The figure annexed will be a very proper one for practice and the task
...
Side 11
... that the whole Earth is called a point in respect of the Universe , “ nór in the
sense that the end of a tapering thing is called a point , as of a pin or needle ;
though they seem to be the smallest " things we know ; because these latter may
be ...
... that the whole Earth is called a point in respect of the Universe , “ nór in the
sense that the end of a tapering thing is called a point , as of a pin or needle ;
though they seem to be the smallest " things we know ; because these latter may
be ...
Side 2
That which is an extremity of any thing is called 14. The space bounded by one or
more terms is called 15. A CIRCLE is a plane figure bounded by one line , which
is called a CIRCUMFERENCE : upon which all the straight lines falling , from ...
That which is an extremity of any thing is called 14. The space bounded by one or
more terms is called 15. A CIRCLE is a plane figure bounded by one line , which
is called a CIRCUMFERENCE : upon which all the straight lines falling , from ...
Side 122
... fourtimes , or fivetimes & c . as long as another ; the line originally fixt is called
a part ; and the line which you determine by this conftruction is called a multiple ;
they are relative terms , or as Euclid expresses it , a magnitude of a magnitude .
... fourtimes , or fivetimes & c . as long as another ; the line originally fixt is called
a part ; and the line which you determine by this conftruction is called a multiple ;
they are relative terms , or as Euclid expresses it , a magnitude of a magnitude .
Side 136
When we say that the first has the same ratio to the second which the third has to
the fourth ; the first and third are the antecedents ; and the second and fourth are
called the consequents . Now the antecedents are called homologous terms , or ...
When we say that the first has the same ratio to the second which the third has to
the fourth ; the first and third are the antecedents ; and the second and fourth are
called the consequents . Now the antecedents are called homologous terms , or ...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ... James Williamson,James Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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Populære avsnitt
Side 3 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 47 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Side 68 - If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre, it shall cut it at right angles : and if it cut it at right angles, it shall bisect it.
Side 45 - ABG ; (vi. 1.) therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has to EF. Therefore similar triangles, &c.
Side 15 - When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands.
Side 86 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 88 - EA : and because AD is equal to DC, and DE common to the triangles ADE, CDE, the two sides AD, DE are equal to the two CD, DE, each to each ; and the angle ADE is equal to the angle CDE, for each of them is a right angle ; therefore the base AE is equal (4.
Side 42 - If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means ; And if the rectangle contained by the extremes be equal to the rectangle contained by the means, the four straight lines are proportionals. Let the four straight lines, AB, CD, E, F, be proportionals, viz.
Side 109 - Draw two diameters AC, BD of the circle ABCD, at right angles to one another; and through the points A, B. C, D, draw (17.
Side 8 - GB is equal to E, and CK to F ; therefore AB is the same multiple of E, that KH is of F: But AB...
Bibliografisk informasjon
| Tittel | The Elements of Euclid: With Dissertations Intended to Assist and Encourage a Critical Examination of These Elements as the Most Effectual Means of Establishing a Juster Taste Upon Mathematical Subjects Than that which at Present Prevails Volum 1 av The Elements of Euclid,: With Dissertations, Intended to Assist and Encourage a Critical Examination of These Elements, as the Most Effectual Means of Establishing a Juster Taste Upon Mathematical Subjects, Than that which at Present Prevails. Vol. I, Oxford University Press |
| Forfattere | Euclid, James Williamson |
| Bidragsyter | Oxford University Press |
| Utgiver | Printed at the Clarendon Press, 1781 |
| Original fra | Oxford University |
| Digitalisert | 29. aug 2007 |
| Lengde | 309 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |