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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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Pure mathematics, Volumen1

Edward Atkins - 1874 - 428 páginas
...can be but one straight line which touches the circle in the same point. Proposition 17.— Problem. To draw a, straight line from a given point, either without or in the circumference, which sliall touch a given circle. First, let the given point A be without the given circle BCD. It is required...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 páginas
...can be but one straight line which touches the circle in the same point. Proposition 17. — Problem. To draw a straight line from a given point, either...circumference, which shall touch a given circle. First, let tho given point A be without the given circle BCD. It is required to draw from A a straight line which...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 páginas
...centre, s circle may be described cutting the other circles at right angles, and find its radius. 7. To draw a straight line from a given point either...the circumference which shall touch a given circle. Find the point in the lino joining the centres of two circles of different radii, such that if a perpendicular...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 páginas
...distant from the centre. Find the locus of the centres of all circles touching two equal circles. 3. To draw a straight line from a given point either without or within the circumference, which shall touch a given circle. SECTION Ш. 1. The opposite angles of any...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 páginas
...is 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...
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Examination Papers: Moderations

University of Oxford - 1879 - 584 páginas
...to the square on the line which meets the circle, the line which meets the circle shall touch it. 7. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 8. If a point be taken within a circle, from which there fall more than two equal straight linos to...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 páginas
...shorter side, show that the shorter sides are sides of a regular hexagon inscribed in the circle. 3. To draw a straight line from a given point either without or within the circumference, which shall touch a given circle. Find the locus of the centres of all circles...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 páginas
...there can be 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...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...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 páginas
...straight line intercepted without the triangle between the perpendicular and the obtuse angle. 6. Show how to draw a straight line from a given point, either...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...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 páginas
...fourth, fifth, sixth, seventh, and eighth Axioms. 2. Show how to bisect any given rectilineal angle. 3. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 4. Show that the lines which join the middle points D, E, F, of the three sides of a triangle ABC,...
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