 To construct a circle which shall pass through two given points and touch a given line. Given : Points A and B ; line CD. Construction: Draw line AB meeting CD ^ P"  Plane Geometry - Page 186by Edward Rutledge Robbins - 1906 - 254 pagesFull view - About this book
 | James Howard Gore - Geometry - 1899 - 266 pages
...divide one side of a given triangle into segments proportional to the adjacent sides. 36. To describe a circle which shall pass through two given points and touch a given circle. 37. Show that the sum of the perpendiculars from any point inside a regular hexagon to the... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...parallelogram, to construct an equivalent parallelogram having one angle equal to a given angle. 18. To construct a circle which shall pass through two given points and be tangent to a given line. 19. To construct a circle which shall pass through a given point and be... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...trapezoids formed.] Ex. 4. Construct a mean proportional between two given lines by use of Art. 358. Ex. 5. Construct a circle which shall pass through two given points and touch a given line. Ex. 6. From a given point draw a secant to a circle so that the external segment shall equal half the... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...trapezoids formed.] Ex. 4. Construct a mean proportional between two given lines by use of Art. 358. Ex. 5. Construct a circle which shall pass through two given points and touch a given line. Ex. 6. From a given point draw a secant to a circle so that the external segment shall equal half the... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...given the greater segment of a line divided in extreme and mean ratio, to construct the line. Ex. 300. To construct a circle which shall pass through two given points and touch a given straight line. Ex. 301. To construct a circle which shall pass through a given point and touch two... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...(!). Proof: A BRU and BFE are similar (?). Also & BRS and BAF (?). Thence show that SR = RU. Etc. DU C 28. To inscribe in a given triangle a rectangle similar...and PB (by 361). On PD take PR = this mean. Erect OR JL to CD at R, meeting J. bisector of AB at O. Use O as center, etc. 30 To construct a line = V2 in.... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...BC. Etc. Statement: (?). Proof: & BRU and " BFE are similar (?). Also A BRS and BAF (?). cu a, v ! c 28. To inscribe in a given triangle a rectangle similar...; line CD. / Construction: Draw line AB meeting CD ^ PR at P. Construct a mean proportional between PA and PB (by 361). On PD take PR = this mean. Erect... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...the circle. What are the dimensions of the rectangle? Is the construction always possible? Why?) 8. To construct a circle which shall pass through two given points and touch a given line. 9. If two circles are tangent externally, the segments of a line drawn through the point of contact... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...circle. What are the dimensions of the rectangle ? Is the construction always possible ? Why ?) 8. To construct a circle which shall pass through two given points and touch a given line. 9. If two circles are tangent externally, the segments of a line drawn through the point of contact... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...Draw the altitude. On this construct a rectangle similar to the given rectangle. Proceed as in Ex. 27. 29. To construct a circle which shall pass through...a given line. /\ Given : Points A and B ; line CD. -._ / C p R Construction: Draw line AB meeting CD at P. Construct a mean proportional between PA and... | |
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