| Henry James Castle - Surveying - 1856 - 220 pages
...point of bisection. 5. To let fall a perpendicular upon a given straight line, from a given point above it. Let AB be the given straight line, and C the given point. From C take any distance CG, and describe the circle EGF, intersecting AB in E and F ; bisect EF in... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION X3I. PROBLEM. To draw a straight line perpendicular to a given straight line of unlimited length, from a given point without it. Let AB be the given straight line, which may be produced any length both ways, and let C be a point without it. It is required to draw... | |
| Popular educator - 1860 - 536 pages
...PROP. XIL PROBLEM. To draw a straight line ptrpmdiauUur it a gtvttt ttrxight lint of unlimited ltnyikt from a given point without it. Let AB be the given straight line, which may be produced to any length both ways ; and let o be a point without it. It is required to... | |
| William Schofield Binns - 1861 - 238 pages
...PROBLEM 18. from a given point, to describe a circle which shall touch a given straight line. Fig. 35. Let AB be the given straight line, and c the given point. From c, draw ca perpendicular to AB, Prob. 4. From centre c, and radius ca, describe a circle. This... | |
| Euclides - 1862 - 172 pages
...straight line, from a given point in the same. (References — Prop. I. 1, 3, 8 ; ax. 1 ; def. 10.) Let AB be the given straight line, and C the given point in it. It is required to draw a straight line from the point C at right angles toAB. \ \ AD CONSTRUCTION... | |
| Adrien Marie Legendre - Geometry - 1863 - 464 pages
...and C ; consequently, DA is perpendicular to BC at its middle point A (BI, P. XVI., C.). PROBLEM HI. To draw a perpendicular to a given straight line, from a given point without that line. Let BD be the given line, and A the given point. From A, as a centre, with a radius sufficiently... | |
| Euclides - 1864 - 448 pages
...PROPOSITION XII. PROBLEM. To draw a straight line perpendicular to a given straight line of unlimited length, from a given point without it. Let AB be the given straight line, which may be produced any length both ways, and let C be a point without it. It is required to draw... | |
| Euclides - 1865 - 402 pages
...straight line, from a given point in the same. (References — Prop. I. 1, 3, 8 ; ax. 1 ; def. 10.) Let AB be the given straight line, and C the given point in it. It is required to draw a straight line from the point C at right anglei to AB. AD CONSTRUCTION... | |
| Robert Potts - 1865 - 528 pages
...other and a given straight line, one of the circles touching the given line at a given point. Analysis. Let AB be the given straight line and C the given point in it. Suppose the circles whose centers are 0, ff described with the given radii, touch each other... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...12. PliOBLEMTo draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it. Let AB be the given straight line, which may be produced to any length both ways, and let C be the given point without it : it is required... | |
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