Constructive geometry of plane curves |
Inni boken
Resultat 1-5 av 82
Side x
... locus of the vertex of a triangle on a given base and with sides in a given ratio 18. To construct a rectangle equal in area to the sum or difference of two given rectangles 19. From a given point P in a given straight line PM , to draw ...
... locus of the vertex of a triangle on a given base and with sides in a given ratio 18. To construct a rectangle equal in area to the sum or difference of two given rectangles 19. From a given point P in a given straight line PM , to draw ...
Side xx
... locus represented by sin 0+ sin a 365 179 . To solve r2 cos 20 = a2 366 r . sin a - 0b . sin a 180. To draw locus represented by a cot a + bcot p - ẞ = c . 368 181. To solve a cos 0 + b cos & = c | 370 k cot 0 + 1 cot = m ! S a b 182 ...
... locus represented by sin 0+ sin a 365 179 . To solve r2 cos 20 = a2 366 r . sin a - 0b . sin a 180. To draw locus represented by a cot a + bcot p - ẞ = c . 368 181. To solve a cos 0 + b cos & = c | 370 k cot 0 + 1 cot = m ! S a b 182 ...
Side 21
... locus * of the vertex of a triangle on a given base AB and with sides BP , AP in a given ratio a : b . ( Fig . 17 ... locus of the vertex . * For definition of locus , see p . 29 post . Proof . Take any point Q on the circle ...
... locus * of the vertex of a triangle on a given base AB and with sides BP , AP in a given ratio a : b . ( Fig . 17 ... locus of the vertex . * For definition of locus , see p . 29 post . Proof . Take any point Q on the circle ...
Side 27
... locus of the intersection of the diagonals is a straight line . ( If AB , CD intersect in F , and G is the intersection of the diagonals , the pencil E ( AGCF ) is harmonic . ) 18. Find the geometric mean ( BD ) between two given lines ...
... locus of the intersection of the diagonals is a straight line . ( If AB , CD intersect in F , and G is the intersection of the diagonals , the pencil E ( AGCF ) is harmonic . ) 18. Find the geometric mean ( BD ) between two given lines ...
Side 29
... locus of the point . PROBLEM 20. ( Fig . 20. ) To describe a circle through three given points A , B , C , not in the same straight line . If the line joining A , B is bisected in D and DO is drawn per- pendicular to AB , DO will ...
... locus of the point . PROBLEM 20. ( Fig . 20. ) To describe a circle through three given points A , B , C , not in the same straight line . If the line joining A , B is bisected in D and DO is drawn per- pendicular to AB , DO will ...
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Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Uten tilgangsbegrensning - 1885 |
Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Uten tilgangsbegrensning - 1885 |
Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Uten tilgangsbegrensning - 1885 |
Vanlige uttrykk og setninger
AC² anharmonic ratio asymptotes auxiliary circle bisects the angle centre point chord of contact circle centre circles touching cone conic conic section conjugate diameters conjugate points construction corresponding curve being given cutting cutting CB describe a circle describe an ellipse describe an hyperbola determined draw a parabola ellipse equal fixed point foci focus F given circle given Fig given lines given point given tangent harmonic mean homographic involution latus rectum length line joining locus major axis mean proportional meet the directrix opposite sides ordinate pass pencil perpendicular point of contact point of intersection polar pole PROBLEM Prop radical axis radius reduces to Prob right angle second focus segment shew shewn similar triangles Similarly tangent PT three given vertex vertices
Populære avsnitt
Side 11 - ... the first is to the third as the difference between the first and second is to the difference between the second and third, the quantities a, b, c, are said to be in harmonical proportion.
Side 26 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 358 - TRIGONOMETRY. By Rev. JB LOCK, MA, Senior Fellow, Assistant Tutor and Lecturer in Mathematics, of Gonville -and Caius College, Cambridge ; late Assistant-Master at Eton. Globe 8vo.
Side 358 - AND BESSEL'S FUNCTIONS. Crown 8vo. WILSON (JM)— ELEMENTARY GEOMETRY. Books I. to V. Containing the Subjects of Euclid's first Six Books. Following the Syllabus of the Geometrical Association. By JM WILSON, MA, Head Master of Clifton College. New Edition. Extra fcap. 8vo. 4?.
Side 287 - AB describe a segment of a circle containing an angle equal to the given angle, (in.
Side 125 - The problem therefore is reduced to finding the centre of a circle to touch externally two given circles (DG, EG) and pass through a given point (Q), which is always possible since the circles must cut each other and Q lie outside both, ie the problem reduces to Prob. 32. [Draw a common tangent EDM to the two circles meeting fP in M.
Side 358 - SOLID GEOMETRY AND CONIC SECTIONS. With Appendices on Transversals and Harmonic Division. For the Use of Schools. By JM WILSON, MA New Edition. Extra fcap. 8vo. 3-r. 6d. WILSON— GRADUATED EXERCISES IN PLANE TRIGONOMETRY.
Side xi - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Side 30 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Side 97 - A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.