Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of ProjectionBaldwin and Cradock, 1830 - 272 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα iv
... planes . 2. Of planes which are parallel , or inclined , or perpendicular , to other planes · 3. Of solids contained ... Plane sections of the oblique cone , of the right cylinder , and of the Errata Index • oblique cylinder 208 214 229 ...
... planes . 2. Of planes which are parallel , or inclined , or perpendicular , to other planes · 3. Of solids contained ... Plane sections of the oblique cone , of the right cylinder , and of the Errata Index • oblique cylinder 208 214 229 ...
Σελίδα 24
... plane , nor the pen such as may serve to draw an exact line , these defects admit of being removed to any required degree , and do not , in the least , affect the accuracy of our conclusions , with regard to exact lines and planes . An ...
... plane , nor the pen such as may serve to draw an exact line , these defects admit of being removed to any required degree , and do not , in the least , affect the accuracy of our conclusions , with regard to exact lines and planes . An ...
Σελίδα 125
... planes , planes which intersect one another , and solids which are contained by plane or other surfaces . In other words , we have been hitherto engaged with Plane Geo- metry ; we are now to enter upon Solid Geometry . Def . 1. ( Euc ...
... planes , planes which intersect one another , and solids which are contained by plane or other surfaces . In other words , we have been hitherto engaged with Plane Geo- metry ; we are now to enter upon Solid Geometry . Def . 1. ( Euc ...
Σελίδα 126
... plane angles ( see Prop . 2. ) are called the sides or faces , and the intersections of the planes , edges . A A the same face . The surfaces of the polyhedrons here treated of are supposed to be convex , that is , such that the same ...
... plane angles ( see Prop . 2. ) are called the sides or faces , and the intersections of the planes , edges . A A the same face . The surfaces of the polyhedrons here treated of are supposed to be convex , that is , such that the same ...
Σελίδα 128
... plane , and only one plane , may be made to pass through the straight line A B and the point C. A R For a plane may be made to pass through AB , and this plane may be turned about A B until it pass through C. Now , let any other plane ...
... plane , and only one plane , may be made to pass through the straight line A B and the point C. A R For a plane may be made to pass through AB , and this plane may be turned about A B until it pass through C. Now , let any other plane ...
Άλλες εκδόσεις - Προβολή όλων
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 264 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.