Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in an Appendix, the Theory of Projection |
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Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton No preview available - 2023 |
Geometry, Plane, Solid, and Spherical, in Six Books: To Which Is Added, in ... Pierce Morton No preview available - 2013 |
Common terms and phrases
ABCD altitude asymptote axis base bisected centre chord circumference circumscribed co-ordinates coincide common section cone conic section contained convex surface cube curve cylinder diagonals difference dihedral angle distance divided draw drawn edges ellipse equal angles equation equimultiples generatrix Geometry given line given point given straight line gles greater hence hyperbola hypotenuse inscribed intersection join Latus Rectum less likewise locus meet ordinate origin parabola parallel parallelogram parallelopiped pass pendicular perimeter perpendicular plane prism produced projection PROP proposition pyramid quadrilateral radii radius rallel ratio rectangle rectilineal figure regular polygon respectively right angles Scholium segment similar solid angles sphere spherical angle spherical triangle square tangent third tion touch triangle ABC values vertex vertical
Popular passages
Page 194 - 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.
Page 62 - 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.
Page 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...
Page 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.
Page 187 - ... 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.
Page 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.
Page 82 - 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.
Page 76 - 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.
Page 77 - 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.
Page 262 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.