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" To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle. "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Σελίδα 78
των John Playfair - 1819 - 317 σελίδες
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 σελίδες
...bisect each other. The only parallelogram that can be inscribed in a circle is rectangular. 2. To draw a straight line from a given point, either without...the circumference, which shall touch a given circle. CA, CB are tangents at A, B, and AD is' a diameter. Show that the angle ACB is twice the angle BAD....

Examination Papers: Moderations

University of Oxford - 1879 - 584 σελίδες
...produced shall pass through that point of contact. 5. Inscribo a circle in a given triangle. 6. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 7. Describe a square about a given circle. 8. A segment of a circle being given, describe the circle...

First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 σελίδες
...equal to the square on the straight line which is made up of the half and the part produced. 10. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 11. On a given straight line describe a quadrilateral figure, similar and similarly situated to a given...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...but one straight line which touches the circle at the same point. PROPOSITION 17. PROBLEM. To draw a straight line from a given point, either without...circumference, which shall touch a given circle. First, let the given point A be without the given circle BCD: it is required to draw from A a straight line, which...

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...intercepted without the triangle between the perpendicular and the obtuse angle. 6. Show how to draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 7. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 σελίδες
...side of it, there cannot be two similar segments of circles, not coinciding with one another. 9. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 10. To describe a circle about a given square. 11. Define equal triangles, and prove that ifequal triangles...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...but one straight line which touches the circle at the same point. PROPOSITION 17. PROBLEM. To draw a straight line from a given point, either without...circumference, which shall touch a given circle. First, let the given point A be without the given circle BCD : it is required to draw from A a straight line,...

Military examinations. Mathematical examination papers set at an open ...

Civil service commission - 1883 - 62 σελίδες
...triangle whose sides are equal to AD, А С, В D respectively, will be right-angled. QED 8. — (1) Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. (2) Describe a triangle, having given the vertical angle, one of the sides containing it, and the length...

Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 σελίδες
...divided into two parts, so that the rectangle contained by them may be the greatest possible ? 6. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. Draw the common tangents to two circles which cut one another. 7. Define the segment of a circle. A...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 σελίδες
...equal to the square on the straight line which is made up of the half and the part produced. 5. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 6. On a given straight line describe a segment of a circle, containing an angle equal to a given rectilineal...




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