| 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... | |
| Euclides - 1842 - 316 pages
...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.... | |
| Horatio Nelson Robinson - History - 1853 - 334 pages
...Proof, (th. 9, b. 3). PROBLEM 4. From a given point without a line, to draw a perpendicular to thai line. Let AB be the given line, and C the given point. From 0, draw any oblique line, as On. Find the middle point of Cn by (problem 1 ), and from that point,... | |
| William Pease - 1856 - 108 pages
...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. From C as a centre, with any radius, describe arcs cutting AB in D and E, producing AB, if necessary.... | |
| Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...angle. m 112 Proof, PROBLEM III. From a given point in a given line, to draw a perpendicular to that line. Let AB be the given line, and C the given point. Take n and m, at equal distances on opposite sides of C; and with the points m and n, as centers, and... | |
| William Schofield Binns - 1861 - 238 pages
...joining cc, -'- '-' is perpendicular to A B. PROBLEM 5. Through a given point to draw a line parallel to a given straight line. Let AB be the given line, and c the given point. In AB, take any point a, and join a c. At c in ac, make the angle ac D equal to ca B (Prob. 1), B and... | |
| Edward Brooks - Geometry - 1868 - 284 pages
...(BI Th. XIV. C. 2). PROBLEM III. At a given point in a straight line to erect a perpendicular to that line. Let AB be the given line, and C the given point. Then, in the line AB take the points A and B equally distant from C, and with A and B as centres, and... | |
| Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...Proof, (Th. 9, B. IIT). PROBLEM IV. From a given point without a line, to draw a pe;-pendicular to that line. Let AB be the given line, and C the given point. From C draw any oblique line, as Cn. Find the middle point of Cn by Problem 1, and with that point,... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...PROPOSITION XXVI.— PROBLEM. 68. At a given point in a given straight line, to erect a perpendicular to that line. Let AB be the given line and C the given . ' ' point. Take two points, D and E, in the line and at equal distances from C. With D and E as cen- — \ —... | |
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