Constructive Geometry of Plane Curves: With Numerous ExamplesMacmillan and Company, 1885 - 374 sider |
Inni boken
Resultat 1-5 av 24
Side x
... 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 lines making equal angles with PM and ...
... 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 lines making equal angles with PM and ...
Side 12
... base of which is 2 , or it may be determined as the hypotenuse of a right - angled triangle one side of which is 2 and the other 1 , since √5 = √22 + 1o . If we halve the unit the same line would represent √20 . √6 = √2a + √22 ...
... base of which is 2 , or it may be determined as the hypotenuse of a right - angled triangle one side of which is 2 and the other 1 , since √5 = √22 + 1o . If we halve the unit the same line would represent √20 . √6 = √2a + √22 ...
Side 21
... base AB and with sides BP , AP in a given ratio a : b . ( Fig . 17. ) On the given base AB describe any one triangle with sides BP AP : a : b . :: Bisect the angle APB by PD meeting AB in D and draw PC perpendicular to PD meeting AB in ...
... base AB and with sides BP , AP in a given ratio a : b . ( Fig . 17. ) On the given base AB describe any one triangle with sides BP AP : a : b . :: Bisect the angle APB by PD meeting AB in D and draw PC perpendicular to PD meeting AB in ...
Side 23
... construct a triangle , given the vertex , the bisector of the vertical angle , and the differ- ence of the segments of the base made by that bisector : for DM - ME = 2CM . 24 EXAMPLES . EXAMPLES ON CHAPTER I. 1. Draw a INTRODUCTORY . 23.
... construct a triangle , given the vertex , the bisector of the vertical angle , and the differ- ence of the segments of the base made by that bisector : for DM - ME = 2CM . 24 EXAMPLES . EXAMPLES ON CHAPTER I. 1. Draw a INTRODUCTORY . 23.
Side 24
... base BC that will enable it to cut one of the sides AB or AC in E. E is one of the angular points of the required square , the base of which will coincide in direction with BC . ) 3. Bisect a given triangle ABC by a straight line drawn ...
... base BC that will enable it to cut one of the sides AB or AC in E. E is one of the angular points of the required square , the base of which will coincide in direction with BC . ) 3. Bisect a given triangle ABC by a straight line drawn ...
Innhold
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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 |
Vanlige uttrykk og setninger
AC² anharmonic ratio asymptotes auxiliary circle bisects the angle CA² CB² centre point chord of contact circle centre circles touching cone conic conic section conjugate diameters conjugate points constant construction corresponding curvature curve being given cutting cutting CB describe a circle describe an ellipse describe an hyperbola determined directrix draw a parabola drawn equal F draw foci focus F given circle given Fig given lines given point given tangent harmonic harmonic mean homographic involution latus rectum length line joining locus major axis mean proportional opposite sides ordinate parallel pass pencil perpendicular point of contact polar pole PROBLEM Prop radical axis radius right angle second focus segments shew shewn similar triangles Similarly tangent PT three points transverse vertex vertices
Populære avsnitt
Side 28 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 28 - 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 303 - AB describe a segment of a circle containing an angle equal to the given angle, (in.
Side 32 - 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 99 - 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.
Side 13 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Side 40 - Upon a given straight line to describe a segment of a circle which shall contain a given angle. Let AB be the given straight line.