 | Willem Jacob 's Gravesande - Algebra - 1749 - 210 pages
...THE FIRST BOOK. 167. Prop. 9- To cut a given Rectilinear Angle into two equal Parts. 268. Prop. ii. To draw a Perpendicular to a given Line from a given Point in it. 269. Prop. 12. To do the fame, if the given Point is cut of the Line. 270. Prop. 23. To make a... | |
 | Samuel Alsop - Surveying - 1865 - 440 pages
...that is, make BF = —^.-—. Then PF will be the required line. B.—PERPENDICULARS. Problem 1.—To draw a perpendicular to a given line from a given point in it. 213. (a.) When the Point is accessible. This may be done on the ground by the methods described... | |
 | John Maxton - Mechanical drawing - 1871 - 372 pages
...middle of the line ....... 48 „ Second, when thepnint is at or near one extremity of theline 48 „ to draw a perpendicular to a given line from a given point without the line ; First, when the point is conveniently near the middle of the line ...... 49 „... | |
 | Michael Reynolds - Locomotive engineers - 1879 - 356 pages
...convenient ; as (J, 8, and 10, or 9, 12, and 15, whether inches, feet, or any other units of length. To draw a perpendicular to a given line from a given point without the line. FIRST, When the point is conveniently near the middle of the line. 1. Let AB, Fig.... | |
 | Marianne Nops - 1882 - 278 pages
...bisect FE in G, join GC, which is the perpendicular required. SUMMARY OF PROPOSITION XII., PROBLEM 7. To draw a perpendicular to a given line from a given point without it. Cons. — With given point as centre and any point on the other side of the line as radius,... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...bisect the re-entrant angle BAC, produce the bisector of the angle BAC. 694. COROLLARY II. To erect a perpendicular to a given line from a given point in the line, bisect the straight angle at that point. PROBLEM II. 695. To bisect a given sect. With A and... | |
 | Isaac Hammond Morris - Geometry, Plane - 1890 - 440 pages
...the line would be divided into 8 equal parts ; and in a similar manner into 16, &c. PROBLEM 2. — To draw a perpendicular to a given line, from a given point in the line. Let С be the given point. With С as centre, and any radius, set off equal distances С 1 and... | |
 | Mathematics - 1907 - 506 pages
...to AX, and .17 from AX equal to ^.D. Join YO ; then 7t> is perpendicular to the given line AB. (3) To draw a perpendicular to a given line from a given point on it. (Fig. 3.) Let AB be the line, and C the point. Draw a perpendicular YOZ to AB, by (2), meeting... | |
 | John Macnie - Geometry - 1895 - 386 pages
...less than B'C' (90). Hence ZA must be greater than Z A'. PERPENDICULARS. PROPOSITION XXI. PROBLEM. 92. To draw a perpendicular to a given line from a given point without it. F.-- --- a D\ H .--'E "- --'C Given : A point P without a straight line AB of indefinite... | |
 | Isaac Newton Failor - Geometry - 1904 - 100 pages
...perpendicular to HK at its middle point P, and the problem is the same as 118.) r ' \ \ k 120. Problem. To draw a perpendicular to a given line from a given point without the line. \ f I—" K 6 FIG. 48. Let AB be the given line and P the given point without the... | |
| |
BC with the same radius. Then a line through A touching this arc will be the required parallel. Or, use a straight edge and triangle. 
