Constructive Geometry of Plane Curves: With Numerous ExamplesMacmillan and Company, 1885 - 374 sider |
Inni boken
Resultat 1-5 av 84
Side 5
... meeting the given lines in A and C. The required bisector must evidently pass through M the centre point of AC . It can therefore be drawn through this point parallel to KL . PROBLEM 2. ( Fig . 3. ) To find a fourth proportional to ...
... meeting the given lines in A and C. The required bisector must evidently pass through M the centre point of AC . It can therefore be drawn through this point parallel to KL . PROBLEM 2. ( Fig . 3. ) To find a fourth proportional to ...
Side 6
... meeting the given lines in N and O , and at any convenient distance from M draw a second line parallel to NO meeting the given.
... meeting the given lines in N and O , and at any convenient distance from M draw a second line parallel to NO meeting the given.
Side 7
... meeting CN in P , and through P draw PQ parallel to AB meeting AC in Q. AC is obviously divided in similarly to NC in P and therefore to NO in M. PROBLEM 5. ( Fig . 5. ) To find the geometric mean between two given lines AB , CD , i.e. ...
... meeting CN in P , and through P draw PQ parallel to AB meeting AC in Q. AC is obviously divided in similarly to NC in P and therefore to NO in M. PROBLEM 5. ( Fig . 5. ) To find the geometric mean between two given lines AB , CD , i.e. ...
Side 8
... meeting the circle in G and from G drop a perpendicular on EF meeting it in 0 , 0 will be the required point of division . The construction is obvious from the last problem . PROBLEM 7. ( Fig . 6. ) To divide a line medially , or in ...
... meeting the circle in G and from G drop a perpendicular on EF meeting it in 0 , 0 will be the required point of division . The construction is obvious from the last problem . PROBLEM 7. ( Fig . 6. ) To divide a line medially , or in ...
Side 14
... meeting AC ( produced if necessary ) in D. AD will be the required third term . DEF . When four points in a straight line as ABCD in fig . 9 fulfil the condition AB : AD :: BC : CD , they constitute a Harmonic Range , and if through any ...
... meeting AC ( produced if necessary ) in D. AD will be the required third term . DEF . When four points in a straight line as ABCD in fig . 9 fulfil the condition AB : AD :: BC : CD , they constitute a Harmonic Range , and if through any ...
Innhold
275 | |
282 | |
289 | |
297 | |
305 | |
307 | |
308 | |
309 | |
98 | |
103 | |
110 | |
115 | |
121 | |
127 | |
133 | |
151 | |
172 | |
178 | |
184 | |
189 | |
199 | |
209 | |
218 | |
226 | |
232 | |
240 | |
248 | |
254 | |
267 | |
310 | |
311 | |
313 | |
314 | |
316 | |
318 | |
320 | |
321 | |
324 | |
328 | |
329 | |
331 | |
333 | |
335 | |
337 | |
341 | |
347 | |
348 | |
354 | |
359 | |
365 | |
Andre utgaver - Vis alle
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.