Books Books A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. Elements of geometry, based on Euclid, books i-iii - Page 7
by Edward Atkins - 1876 - 119 pages ## The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 183 pages
...6. And this point is called the centre of the circle. See N. 17. A diameter of a circle is a right line drawn through the centre, and terminated both ways by the circumference. 18. A radius of a circle is a right line drawn from the centre to the circumference. 19. A semicircle is... ## Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...Any straight line drawn from the centre of a sphere to the surface, is called a radius of the sphere. A straight line drawn through the centre and terminated both ways by the surface, is called a diameter of the sphere. COB. A straight line may be described or made to pass... ## A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 159 pages
...of that circumference. A semicircle is half, and a quadrant is a quarter of a circle. The diameter is a straight line drawn through the centre, and terminated both ways by the circumference. PROBLEM I. To find the circumference of a circle, the diameter being given. Rule — Multiply the diameter... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...circumference are equal to one another. XVI. And this point is calledihe centre of the circle. XVII. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference cut off... ## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...circumference, are equal to one another. 12. 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 part of the circumference cut off by... ## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 410 pages
...The following, which is Euclid's definition of the semicircle, will perhaps be preferred by some : " A semicircle is the figure contained by a diameter...part of the circumference cut off by the diameter." It may be proved that a diameter divides a circle into two equal parts, by inverting one of them and... ## Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...circumference, are equal to one another. 15. This point is called the centre of the circle. 16. A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. 17. A line drawn from the centre to the circumference of a circle is called a radius. 18. A semicircle... ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 332 pages
...to one another. 12. And this point is called the centre of the circle. 13. A diameter of a circlets 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 part of the circumference cut off by... ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...are equal to one another : XVI. And this point is called the centre of the circle. xvn. . A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference. XVIII. A semicircle is the figure contained by a diameter and the part of the circumference cut off... 