Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids; to which are Added Elements of Plane and Spherical Trigonometry |
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Side 9
And this point is called the centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the ...
And this point is called the centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the ...
Side 11
And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same thing are equal to one another . 2. If equals be added to equals , the wholes are equal . 3.
And that a circle may be described from any centre , at any distance from that centre . AXIOMS . 1. Things which are equal to the same thing are equal to one another . 2. If equals be added to equals , the wholes are equal . 3.
Side 12
From the centre A , at the disС tance AB , describe ( 3. Postulate ) the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point A C , in which the circles cut one anB в E other , draw the ...
From the centre A , at the disС tance AB , describe ( 3. Postulate ) the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point A C , in which the circles cut one anB в E other , draw the ...
Side 13
the straight line AD equal to C , and from A E B the centre A , and at the distance AD , describe ( 3. Post . ) the circle DEF ; and because A is the centre of the circle DEF , AE is equal to AD ; but the F straight line C is likewise ...
the straight line AD equal to C , and from A E B the centre A , and at the distance AD , describe ( 3. Post . ) the circle DEF ; and because A is the centre of the circle DEF , AE is equal to AD ; but the F straight line C is likewise ...
Side 18
It is required to draw a straight line perpendicular to AB from the point C. C Take any point D upon the other side of AB , and from the centre C , at E the distance CD , describe ( 3. Post . ) the circle EGF meeting AB in F ...
It is required to draw a straight line perpendicular to AB from the point C. C Take any point D upon the other side of AB , and from the centre C , at E the distance CD , describe ( 3. Post . ) the circle EGF meeting AB in F ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1824 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circle ABC circumference coincide common consequently construction cosine definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremity fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids; to which are Added Elements of Plane and Spherical Trigonometry |
| Forfatter | John Playfair |
| Utgiver | W. E. Dean, 1840 |
| Original fra | Pennsylvania State-universitetet |
| Digitalisert | 22. mar 2010 |
| Lengde | 317 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |