| Euclides - 1860 - 288 pages
...line drawn from the centre to the circumference of a circle is called a radius, as CD, CB, or CE. 20. **A diameter of a circle is a straight line drawn through...centre, and terminated both ways by the circumference,** as BE. 21. A semicircle is the figure contained by a diameter, and the part of the circumference cut... | |
| James Smith - Circle-squaring - 1861 - 292 pages
...circumference, are equal to one another. This point within the figure is called the centre of the circle. **A straight line drawn through the centre, and terminated both ways by the circumference,** is called a diameter of the circle. Do you really mean to deny, that such a circle can be drawn? Your... | |
| Euclides - 1863 - 122 pages
...circumference, are equal to one another. XVI. And this point is called the centre of the circle. XVII. **A diameter of a circle is a straight line drawn through...centre, and terminated both ways by the circumference.** XVIII. A semicircle is the figure contained by a diameter and the part of tho circumference cut off... | |
| Euclides - 1863 - 74 pages
...centre to the circumference are radii. 17. A diameter of a circle (diametros, a measure through), is any **straight line drawn, through the centre, and terminated both ways by the circumference;** as AB, or DE, in the circle ADBE. A diameter is double of a radius, (radius, the spoke of a wheel),... | |
| Isaac Todhunter - Spherical trigonometry - 1863 - 182 pages
...the sphere. The straight line which joins any point of the surface with the centre is called a radiw. **A straight line drawn through the centre and terminated both ways by the** surface is called a diameter. 2. The section of the surface of a sphere made by any plane is a circle.... | |
| Euclides - 1865 - 80 pages
...Hence all the radii of the same circle are equal, for each of them is equal to the radiant. 35. The **DIAMETER of a circle is a straight line drawn through...centre, and terminated both ways by the circumference.** 36. An ARC of a circle is any part of the circumference. 37. Magnitudes which coincide the whole of... | |
| Euclides - 1865 - 402 pages
...circumference are equal to one another. XVI. And this point is called the centre of the circl*. XVII. **A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the** circum/ ference. NB — When several angles are at one point B, any one of them is expressed by three... | |
| Edward Clarke Lowe - 1866 - 172 pages
...circumference are equal to one another. 1C. And this point is called the centre of the circle. 17. **A diameter of a circle is a straight line drawn through...centre, and terminated both ways by the circumference.** 18. A semicircle is the figure contained by a diameter and the part of the circumference it cuts off.... | |
| Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...circumference are equal to one another : 16. And this point is called the centre of the circle. 17. **A diameter of a circle is a straight line drawn through...centre, and terminated both ways by the circumference.** [A radius of a circle is a straight line drawn from the centre to the circumference.] 18. A semicircle... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...a straight line drawn from the centre to any point on the surface. The diameter or axis of a sphere **is a straight line drawn through the centre, and terminated both ways by the** surface. It appears from Definition 1 that all the radii of the same sphere are equal, and that all... | |
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