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" 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 186
by Edward Rutledge Robbins - 1906 - 254 pages
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Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 276 pages
...triangle ABC. 72. To transform a given parallelogram into a rhombus, one angle remaining unchanged. 73. To construct a circle which shall pass through two given points, and shall touch a given line. To divide a given triangle by a line parallel to one side into : 74. Two...
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Practical Plane and Solid Geometry, Including Graphic Arithmetic

Isaac Hammond Morris - Geometry, Plane - 1890 - 440 pages
...the other side of С J, the centre for another circle will be obtained. PROBLEM 157. — To describe a circle which shall pass through two given points and touch a given circle. Let A and B be the two given points. Describe any circle passing through A and B, and cutting...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...triangles AOB, OAC may be similar, and the sides AB, AC have a given ratio to each other. 44. To describe a circle which shall pass through two given points and touch a given circle. BOOK IV. AREAS OF POLYGONS. MEASUREMENT OF AREAS. 355. DEF. The area of a surface is its numerical...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Modern - 1890 - 252 pages
...the points where it cuts the diagonals. PRACTICAL PLANE GEOMETRY. 158. PROBLEM 56. — To describe a circle which shall pass through two given points and touch a given circle. CASE I. — When the line which bisects at right angles the distance between the two points...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...and ED is drawn. Prove that the triangle DEF is one-fourth as large as the triangle ABF. 3. Describe a circle which shall pass through two given points and touch a given straight line (see 235). 79. Propositions 161, 231, 253. 1. Prove that the bisectors of the angles...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - Geometry - 1894 - 313 pages
...one equation by the other, and reducing to one line, BDa = 2BG2; 144 1 86°. Problem. — To find the circle which shall pass through two given points and touch a given line. Let A, B be the given points and L the given line. Constr. — Let the line AB cut L in O, Take OP...
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Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - Geometry - 1896 - 296 pages
...: AD. (g 309) But AE : AD = AD : DE. (Cons.) Also AD:DE=AB: BC. (Cons.) .-. AC: AB=AB: BC. Ex. 276. To construct a circle which shall pass through two given points and touch a given straight line. Let P and P' be the two points, and AB the given straight line. It is required to construct...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 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...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 276 pages
...given the greater segment of a line divided iu 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...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...Proposition 41 above. Try it when AB is divided into five equal parts. Lesson No. 15 PROBLEMS 44. To describe a circle which shall pass through two given points and touch a given straight line. AC and CB by bisecting AB, describing an are with D as center and DC as radius and drawing...
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