| Miles Bland - Euclid's Elements - 1819 - 444 pages
...rectangle shall be equal to a given rectangle, and which shall cut off" equal segments from the given line. Let AB be the given line, and C the given point. Bisect AB in D, and from D draw DO at right angles to AB, and let fall the perpendicular CE. With the... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...rectangle shall be equal to a given rectangle, and which shall cut off equal segments from the given line. Let AB be the given line, and C the given point. Bisect AB in D, and from D draw DO at right angles to AB, and let fall the perpendicular CE. With the... | |
| Matthew Iley - 1820 - 512 pages
...DRAWING AND DIVIDING LINES. PROBLEM I. To erect a perpendicular from a given point in a given straight line. Let AB be the given line, and C the given point ia it, from which a perpendicular is to be erected. F. TO From C as a centre, with any convenient opening... | |
| Euclides - 1842 - 316 pages
...triangle. PROB. III. To trace on the ground a line perpendicularly to a given line, from a given point in that line. Let AB be the given line, and c the given point in it. If the required perpendicular is to be but a few feet in length, a triangle may be formed thus.... | |
| Charles Davies - Geometry - 1850 - 238 pages
...AD and BD. Then, in the two triangles ACD, CBD, we have AC=CB, AD=BD BOOK II. Problems. PROBLEM VI. At a given point in a straight line to erect a perpendicular to the line. Let A be the given point, and BC the given line. From A lay off any two distances, AB and... | |
| Charles Davies - Geometry - 1850 - 218 pages
...E. For, draw the radii AD and BD. Then, in the two triangles ACD, CBD, we have Problems. PROBLEM VI. At a given point in a straight line to erect a perpendicular to the line. Let A be the given point, and BC the given line. From A lay off any two distances, AB and... | |
| Horatio Nelson Robinson - History - 1853 - 334 pages
...will bisect the given angle. INTRODUCTION. 13 PROBLEM 3. From a given point, in a given line, to draw a perpendicular to that line. Let AB be the given line, and C tlie given point. Take n and m equal distances on opposite sides of 0; and from the points m and n,... | |
| Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...the given angle. 79 PROBLEM 3. From a given point, in a given line, to draw a perpendicular to thai line. Let AB be the given line, and C the given point. Take n and m equal distances on opposite sides of C; and from the points m and «, as centers, with... | |
| Charles Davies - Geometry - 1855 - 340 pages
...to BCD, it follows that the arc AE, which measures the former, is equal to 56 ProblemsPROBLEM VIAt a given point in a straight line to erect a perpendicular to tht l1neLet A be the given point, and BC the given lineFrom A lay off any two distances, AB and AC,... | |
| William Pease - 1856 - 108 pages
...perpendicular. If the operations are correct, these perpendiculars will meet in one point. PROBLEM IX. At a given point in a straight line, to erect a perpendicular, when that point is near the middle of the line. Let AB be the given line, and C the given point. 1.... | |
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