Constructive Geometry of Plane Curves: With Numerous ExamplesMacmillan and Company, 1885 - 374 sider |
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Resultat 1-5 av 42
Side 4
... shewn in fig . 2. As before , let AB , CD be the Fig.2 . A B HA EX M CI C D G two given lines . At any point B of the one line draw a line as BF , and at any point D of the other construct an angle GDH equal to the angle EBF . The exact ...
... shewn in fig . 2. As before , let AB , CD be the Fig.2 . A B HA EX M CI C D G two given lines . At any point B of the one line draw a line as BF , and at any point D of the other construct an angle GDH equal to the angle EBF . The exact ...
Side 8
... shewn thus . Also but ww sq . on AB + sq . on AD ( Euclid 1. 47 ) . The sq . on BD " " ED AD and EB = FB , sq . on EB + sq . on ED + 2 rect . EB.ED , sq . on AB = sq . on FB + 2 rect . FB.AD. ( Euclid 11. 4 ) , Again sq . on AB = sq ...
... shewn thus . Also but ww sq . on AB + sq . on AD ( Euclid 1. 47 ) . The sq . on BD " " ED AD and EB = FB , sq . on EB + sq . on ED + 2 rect . EB.ED , sq . on AB = sq . on FB + 2 rect . FB.AD. ( Euclid 11. 4 ) , Again sq . on AB = sq ...
Side 15
... shewn in fig . 10 , where AD bisects the angle Fig.10 . B H P M G ע ' F N C E K BAC and AE is drawn perpendicular to AD , and therefore bisect- ing the exterior angle between AC and BA produced . For draw any transversal as BFGE , and ...
... shewn in fig . 10 , where AD bisects the angle Fig.10 . B H P M G ע ' F N C E K BAC and AE is drawn perpendicular to AD , and therefore bisect- ing the exterior angle between AC and BA produced . For draw any transversal as BFGE , and ...
Side 30
... shews in Corollary to Prop . 16 , Bk . III . that the line drawn perpendicu- lar to a radius at its extremity fulfils the ... shewn to agree with the general definition of a tangent usually given as applicable to all curves , which is as ...
... shews in Corollary to Prop . 16 , Bk . III . that the line drawn perpendicu- lar to a radius at its extremity fulfils the ... shewn to agree with the general definition of a tangent usually given as applicable to all curves , which is as ...
Side 33
... shewn . If the line joining A and B be parallel to the given line , this solution fails , but the point of contact can be at once determined , since by symmetry it is obviously where EO cuts the given line , and a third point through ...
... shewn . If the line joining A and B be parallel to the given line , this solution fails , but the point of contact can be at once determined , since by symmetry it is obviously where EO cuts the given line , and a third point through ...
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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.