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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 ... - Página 72
por John Playfair - 1855 - 318 páginas
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Military examinations. Mathematical examination papers set at an open ...

Civil service commission - 1883
...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...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...be 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...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...is 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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...be 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...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 páginas
...that the difference of the squares on AD and AC is equal to the rectangle contained by BD and CD. 2. Draw a straight line from a given point, either without or in the circumference, to touch a given circle. 3. If ABC be an acute-angled triangle inscribed in a circle (SAC being the...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...concentric with the given one. When does one of these two c,rcles become a point ? PROPOSITION 17. PROBLEM. To draw a straight line from a given point either without or on the circumference which shall touch a given circle. (1) Let O be a pt. without the given 0 PQR ;...
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Parliamentary Papers, Volumen19

Great Britain. Parliament. House of Commons - 1861
...squares of half the base, and of the line joining the point of bisection with the opposite angle. 7. To draw a straight line from a given point, either...the circumference, which shall touch a given circle. 8. The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860
...rectangle contained by the whole and one of the parts ehall be equal to the square of the other part. 7. To draw a straight line from a given point, either...circumference,, which shall touch a given circle. 8. The angle in a semicircle is a right angle. 9. If from a point without a circle there be drawn two...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897
...intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 3. To draw a straight line from a given point, either...or in the circumference, which shall touch a given cirle. 4. In a given circle to inscribe an equilateral and equiangular pentagon. 5. Define (a) Ratio,...
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