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" E~JJ and E as centres, and a radius greater than DC or CE, describe two arcs intersecting in F. Then CF is the required perpendicular (I., Proposition XVIII.). 57. Another solution. Take any point O, without the given line, as a centre, and with a radius... "
An Elementary Treatise on Plane and Spherical Trigonometry and on the ... - Page 151
by Silvestre François Lacroix - 1826 - 165 pages
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A complete, scientific, and popular treatise upon perspective, with the ...

Complete, scientific and popular treatise - 1836 - 230 pages
...mark them on a vertical line, raised from the point C, this will give the point D; from this point D as a centre, and with a radius equal to the distance from D to A, describe a circle; the line A, B, will be found eight times in the circle. 8 TO DETERMINE THE...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...centres, and CD as a radius, describe the arcs (Post. lll) DB, CH, the former meeting AB at B. Then with C as a centre, and with a radius equal to the distance from B to D, describe an arc to meet the arc CH at the point F. The line DF, being drawn, will be parallel...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...centres, and CD as a radius, describe the arcs (Post. Ill,) DB, CH, the former meeting AB at B Then with C as a centre, and with a radius equal to the distance from B to D, describe an arc to meet the arc CH at the point F. The line DF, being drawn, will be parallel...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...required perpendicular (I. 41). 69. Another solution. Take any point O, •without the given line, as a centre, and with a radius equal to the distance from O to C \ .. describe a circumference intersecting AB in C #\ and in a second point D. Draw the diameter...
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An Elementary Treatise on Analytic Geometry, Embracing Plane Geometry and an ...

Edward Albert Bowser - Geometry, Analytic - 1880 - 334 pages
...transverse axis at its centre, and is limited by an arc described with the vertex of the transverse axis as a centre, and with a radius equal to the distance from the focus to the centre. COE. 5. — Comparing equation (2), Art. 102, with (2) of Art. 71, we see...
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The National Question Book ...

Edward Richard Shaw - 1887 - 488 pages
...point of intersection with the verliccs of the angles. Then from the intersection of the perpendiculars as a centre, and with a radius equal to the distance from this point to the vertex of any angle, sweep a circle which will pass through the three vertices, thus...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...perpendicular (I., Proposition XVIII.). 57. Another solution. Take any point 0, without the given line, as a centre, and with a radius equal to the distance from 0 to (7, describe a circumference 4—V . , 0 intersecting AB in C and in a second x --*' D\ / O point...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 pages
...perpendicular (I., Proposition XVIII.). 57. Another solution. Take any point O, without the given line, as a centre, and with a radius equal to the distance from O to C, describe a circumference A—V''' intersecting AB in C and in a second ''• •*' point D....
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