Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of ProjectionBaldwin and Cradock, 1830 - 272 sider |
Inni boken
Resultat 1-5 av 100
Side 275
... equation between two quantities x and y . Definition of a locus 23. Division of equations into Algebraical and Transcendental 24. Some equations do not admit of loci · 25. The position of a point in a plane determined . Equations to a ...
... equation between two quantities x and y . Definition of a locus 23. Division of equations into Algebraical and Transcendental 24. Some equations do not admit of loci · 25. The position of a point in a plane determined . Equations to a ...
Side 275
... equation to the tangent 73 , 74. The Polar equation between u and ◊ is - u2-2 cu cos . ( t − a ) + c2 — r2 = 0 , or u2 40 - · 2 { b sin . + a cos . 0 } u + a2 + b2 = r2 = 0 . . 41 • 42 • 43 CHAPTER VI . DISCUSSION OF THE GENERAL ...
... equation to the tangent 73 , 74. The Polar equation between u and ◊ is - u2-2 cu cos . ( t − a ) + c2 — r2 = 0 , or u2 40 - · 2 { b sin . + a cos . 0 } u + a2 + b2 = r2 = 0 . . 41 • 42 • 43 CHAPTER VI . DISCUSSION OF THE GENERAL ...
Side 275
... equation when belonging to a Parabola 92. Transferring the axes through an angle 4 , where tan . 26 = 93. The coefficient of x2 or y2 disappears · 94. Transferring the origin reduces the equation to one of the forms , ay " 2 + e'x " 0 ...
... equation when belonging to a Parabola 92. Transferring the axes through an angle 4 , where tan . 26 = 93. The coefficient of x2 or y2 disappears · 94. Transferring the origin reduces the equation to one of the forms , ay " 2 + e'x " 0 ...
Side xi
... equation to the normal is y - y ' = a2 y - ( x - x ' ) b2 x ' a2 eo CG e2x ; CG ' = b2 y ; MG = ; b2x a2 PG = a = The rectangle P G , PG ' the rectangle SP , HP 178 , 9. The diameters of the hyperbola pass through the centre , but do ...
... equation to the normal is y - y ' = a2 y - ( x - x ' ) b2 x ' a2 eo CG e2x ; CG ' = b2 y ; MG = ; b2x a2 PG = a = The rectangle P G , PG ' the rectangle SP , HP 178 , 9. The diameters of the hyperbola pass through the centre , but do ...
Side xii
... equation of the second order to the form xy = k2 a ( tan . 6 ) 2 + b tan . 6 + c = 0 207. To find the value of b 209. Examples . If ca , the curve is rectangular · 109 110 · 110 211. Given the equation xy = k , to find the equation ...
... equation of the second order to the form xy = k2 a ( tan . 6 ) 2 + b tan . 6 + c = 0 207. To find the value of b 209. Examples . If ca , the curve is rectangular · 109 110 · 110 211. Given the equation xy = k , to find the equation ...
Andre utgaver - Vis alle
Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... Pierce Morton Uten tilgangsbegrensning - 1835 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Ingen forhåndsvisning tilgjengelig - 2023 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Ingen forhåndsvisning tilgjengelig - 2013 |
Vanlige uttrykk og setninger
A B C a² b² ABCD altitude asymptote axes axis base bisected centre chord circle circumference circumscribed co-ordinates common section conic section contained convex surface curve cylinder describe diameter difference dihedral angle distance divided draw drawn ellipse equal angles equation frustum given line given point given straight line gles greater hence hyperbola hypotenuse inscribed intersection join Latus Rectum less likewise locus magnitudes meet parabola parallel parallelogram parallelopiped pass pendicular perimeter perpendicular perspective projection pole prism produced projection PROP pyramid radii radius ratio rectangle rectangular rectilineal figure regular polygon right angles Scholium segment similar solid angles solid content sphere spherical angle spherical arc spherical triangle square tangent tion touch triangle ABC vertex vertical y₁
Populære avsnitt
Side 196 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 64 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 20 - In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides containing it, let fall the perpendicular...
Side 10 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 189 - ... shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to the two DE, DF, each to each, viz.
Side 1 - 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 84 - The angle at the centre of a circle is double of the angle at the circumference, upon the same base, that is, upon the same part of the circumference.
Side 78 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Side 79 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Side 264 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.