Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of ProjectionBaldwin and Cradock, 1830 - 272 Seiten |
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Seite 1
... distance , extent of surface , and extent of capacity or solid content . The name Geometry is derived from two Greek words , signifying land and to measure . Hence it would appear that the measurement of land was the most important ...
... distance , extent of surface , and extent of capacity or solid content . The name Geometry is derived from two Greek words , signifying land and to measure . Hence it would appear that the measurement of land was the most important ...
Seite 8
... distance between two points A and B. Let A CB be the straight line join- ing A and B , and ADEB any other line drawn from A to B. In ACB take any point C ; and from the centre A with the radius AC describe a cir- A cle , cutting ADEB B ...
... distance between two points A and B. Let A CB be the straight line join- ing A and B , and ADEB any other line drawn from A to B. In ACB take any point C ; and from the centre A with the radius AC describe a cir- A cle , cutting ADEB B ...
Seite 9
... distance between them . C Hence , also , we may infer , that of any two paths , ACB , AD B , leading from A to B , and everywhere con- cave towards the straight line AB , that which is enveloped by the other , as ADB , is the shortest ...
... distance between them . C Hence , also , we may infer , that of any two paths , ACB , AD B , leading from A to B , and everywhere con- cave towards the straight line AB , that which is enveloped by the other , as ADB , is the shortest ...
Seite 10
... distance of the point A from the line B C. Cor . 4. Hence , if , from the centre A , a circle be described with a ... distances from the foot of the perpendicular , upon either side of it . PROP . 13 . If , in two right - angled ...
... distance of the point A from the line B C. Cor . 4. Hence , if , from the centre A , a circle be described with a ... distances from the foot of the perpendicular , upon either side of it . PROP . 13 . If , in two right - angled ...
Seite 11
... distance M m , of any two corresponding points in them , conti- nually increases with the distance from E , and may , by sufficiently producing EM , Em , be made greater than any assigned distance , as FG . Therefore , the straight ...
... distance M m , of any two corresponding points in them , conti- nually increases with the distance from E , and may , by sufficiently producing EM , Em , be made greater than any assigned distance , as FG . Therefore , the straight ...
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Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Keine Leseprobe verfügbar - 2023 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton Keine Leseprobe verfügbar - 2013 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 264 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.