Sinopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1823 Excerpt: ...(Jig. 15, pi. II,) be the length or chord, and BD the versed sine. Join AB, and draw BE parallel to AC, making BE of any length, not less than AB. Form a triangular piece of wood, ABE: bring the angular point B, of the triangle, to the point A; and move the triangle, so that the side BA may slide upon A, and the side BE upon B: then if, during the motion, a pencil be held at the angular point B, with its point tracing over the plane, the arc AB will be described by the point of the pencil. The arc AB being described, the arc BC will be described in a similar manner; and, consequently, the whole segment of the circle, as required to be done. Problem 20. 194. Between two straight lines, E and F, (Jig. 1, pi. Ill,) to find a mean proportional. Draw the straight line AB. Make AC equal to E, and CB equal to F. Upon AB, as a diameter, describe the semi-circle ADB: from the point C draw CD, perpendicular to AB, and CD will be the mean proportional required. Problem 21. 195. To find a straight line equal in length, nearly, to the arc of a circle. Let ABC, (Jig. 2, pi. HI,) be the given arc Join AC, which prolong to F. Bisect the arc ABC in B, and make AE equal to twice AB. Divide CE into three equal parts, and set one of them off from E to F; then the straight line AF is nearly equal in length to the arc ABC. Problem 22. 196. To describe a triangle, of which the three sides shall be equal to three given straight lines, provided that any two of them are greater than the third. Let D, E, F, (Jig. 3, pi. HI,) be the three given straight lines. Draw AB, and make AB equal to the straight line D. From the point A, with the distance of the line F, describe an arc; and from the point B, with the extent of the line CE, describe another arc, cutting the former at C, and join...
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1823 Excerpt: ...(Jig. 15, pi. II,) be the length or chord, and BD the versed sine. Join AB, and draw BE parallel to AC, making BE of any length, not less than AB. Form a triangular piece of wood, ABE: bring the angular point B, of the triangle, to the point A; and move the triangle, so that the side BA may slide upon A, and the side BE upon B: then if, during the motion, a pencil be held at the angular point B, with its point tracing over the plane, the arc AB will be described by the point of the pencil. The arc AB being described, the arc BC will be described in a similar manner; and, consequently, the whole segment of the circle, as required to be done. Problem 20. 194. Between two straight lines, E and F, (Jig. 1, pi. Ill,) to find a mean proportional. Draw the straight line AB. Make AC equal to E, and CB equal to F. Upon AB, as a diameter, describe the semi-circle ADB: from the point C draw CD, perpendicular to AB, and CD will be the mean proportional required. Problem 21. 195. To find a straight line equal in length, nearly, to the arc of a circle. Let ABC, (Jig. 2, pi. HI,) be the given arc Join AC, which prolong to F. Bisect the arc ABC in B, and make AE equal to twice AB. Divide CE into three equal parts, and set one of them off from E to F; then the straight line AF is nearly equal in length to the arc ABC. Problem 22. 196. To describe a triangle, of which the three sides shall be equal to three given straight lines, provided that any two of them are greater than the third. Let D, E, F, (Jig. 3, pi. HI,) be the three given straight lines. Draw AB, and make AB equal to the straight line D. From the point A, with the distance of the line F, describe an arc; and from the point B, with the extent of the line CE, describe another arc, cutting the former at C, and join...
"Sobre este título" puede pertenecer a otra edición de este libro.
