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" Describe a circle which shall pass through a given point and touch a given straight line and a given circle. "
The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ... - Pagina 300
door Isaac Todhunter - 1880 - 400 pagina’s
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Principles of geometry, mensuration, trigonometry, land-surveying, and ...

Thomas Tate (mathematical master.) - 1848 - 284 pagina’s
...circle to draw a chord, which shall have a given length and shall be parallel to a given line. 48. To describe a circle which shall pass through a given point, and also touch a given line in a given point. PRINCIPLES OF GEOMETRY. 50. Through a given point A to draw...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pagina’s
...centre in a given line, and shall also touch another line, inclined to the former at a given angle. 10. To describe a circle which shall pass through a given point, and touch a given line in another given point. 11. To describe a circle which shall pass through a given point, and touch...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...each touching the other two, and the three centres being three given points, in all possible ways. 4. Describe a circle which shall pass through a given point and touch a given line, and a given circle ; and assign the limits of possibility. 5. From the three angles of a triangle...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pagina’s
...one of the equal sides of an isosceles triangle, the base will be bisected by the circumference. 24. To describe a circle which shall pass through a given point, and which shall touch a given straight line in a given point. 25. To describe a circle which shall touch...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 520 pagina’s
...point. (55) If two chords of a circle be given both in position and magnitude, describe the circle. (56) Describe a circle which shall pass through a given point and touch a given circle at a given point (57) Find the point without a given circle, from which if a tangent be drawn...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 pagina’s
...given circle in a given point, and also touch a given straight line. Prop. 14. With a given radius, describe a circle which shall pass through a given point and touch a given line. Prop. 15. With a given radius, describe a circle which shall touch a given line, and have its...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pagina’s
...right angle. X. 78. Describe a circle passing through two given points and touching a given circle. 79. Describe a circle which shall pass through a given...and touch a given straight line and a given circle. 80. Through a given point draw a circle touching two given circles. 81. Describe a circle to touch...
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Elements of Geometry and Conic Sections

Elias Loomis - 1860 - 246 pagina’s
...in one of them shall be five times the angle contained in the other. Prop. 14. With a given radius, describe a circle which shall pass through a given point and touch a given line. Prop. 13. Describe a circle which shall touch a given circle in a given point, and also touch...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 330 pagina’s
...circle which shall pass through a given point, have a given radius, and touch a given straight line. 75. To describe a circle which shall pass through a given point, and touch a given circle in a given point. 76. To describe a circle which shall touch a given straight line in a given...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pagina’s
...right angle. X. 78. Describe a circle passing through two given points and touch»iven circle. 79. Describe a circle which shall pass through a given...and touch a given straight line and a given circle. 80. Through a given point draw a circle touching two given circles. 81. Describe a circle to touch...
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