| Perry Fairfax Nursey - Industrial arts - 1852 - 550 pages
...between two points on any surface will take the shortest line on that surface. Now, the Dividing- line is the shortest line that can be drawn on the surface of a vessel from any point on the sternpost to the stern." Now, what fair analogy can be drawn between a... | |
| Industrial arts - 1852 - 568 pages
...between two points on any surface will take the shortest line on that surface. Now, the Dividing-line is the shortest line that can be drawn on the surface of a vessel from any point on the stempost to the stern." Now, what fair analogy can be drawn between a... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...sphere. SHORTEST LINE ON THE SURFACE OF A SPHERE BETWEEN TWO POINTS. PROPOSITION XXXIV—THEOREM. 105. The shortest line that can be drawn on the surface...two points is the arc of a great circle, not greater tlian a semicircumference, joining the two points. Let AB be an arc of a great circle, less than a... | |
| William Chauvenet - Mathematics - 1872 - 382 pages
...sphere. SHORTEST LINE ON THE SURFACE OF A SPHERE BETWEEN TWO POINTS. PROPOSITION XXXIV.— THEOREM. 105. The shortest line that can be drawn on the surface...sphere between two points is the arc of a great circle, less than a semi-circumference, joining the two points. Let AB be an arc of a great circle, less than... | |
| William Chauvenet - Geometry - 1875 - 466 pages
...sphere. SHORTEST LINE ON THE SURFACE OF A SPHERE BETWEEN TWO POINTS. PROPOSITION XXXIV—THEOREM. 105. The shortest line that can be drawn on the surface...points A and B of the surface of a sphere; and let C be any arbitrary point taken in that arc. Then we say that the shortest line from A to B, on the... | |
| William Chauvenet - Geometry - 1875 - 390 pages
...SHOBTEST LINE ON ItflE SURFACE OF A SPHERE BETWEEN TWO POINTS. PROPOSITION XXXIV.— THEOREM. 105. The shortest line that can be drawn on the surface...points is the arc of a great circle, not greater than a semitnrcumference, joining the two points. Let AB be an arc of a great circle, less than a semi-circumference,... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...point. 9. The shortest distance on the surface of a sphere from one point of the surface to another is the arc of a great circle, not greater than a semi-circumference, whose extremities are these points. II. SPHERICAL ANGLES AND TRIANGLES. 451. Definitions and Remarks.... | |
| William Chauvenet - Geometry - 1879 - 380 pages
...sphere. SHORTEST LINE ON THE SURFACE OF A SPHERE BETWEEN TWO POINTS. PROPOSITION XXXTV.—THEOREM. 105. The shortest line that can be drawn on the surface of a sphere between two points is the are of a great circle, not greater than a semicircumference, joining the two points. Let AB be an arc... | |
| Eugene Lamb Richards - Measurement - 1880 - 108 pages
...on the earth, the latitude and longitude of each jjoint being given. We have to find the length of the arc of a great circle not greater than a semi-circumference joining the two points (Ch. Art. 105, VIII.). Suppose A and C to represent the two points. If P represents the pole of the... | |
| Isaac Sharpless - Geometry - 1882 - 286 pages
...sphere, are measured in degrees, minutes and seconds. Proposition 6. Theorem. — The shortest line on the surface of a sphere between two points is the arc of the great circle which joins them. Let A and B be two points on the surface of a sphere. The shortest... | |
| |