Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 - Mathematics |
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Page 3
... diameter . The point C is the centre of the circle ABD ; AB is a diameter ; and AC a radius or semidiameter . D The truths and questions of Geometry are , for the sake of perspicuity , stated and considered in small separate discourses ...
... diameter . The point C is the centre of the circle ABD ; AB is a diameter ; and AC a radius or semidiameter . D The truths and questions of Geometry are , for the sake of perspicuity , stated and considered in small separate discourses ...
Page 48
... diameter of a circle be divided into 7 equal parts , the circumference will contain not quite 22 of those parts ; if , again , the diameter be divided into 113 equal parts , the circumference will con- tain not quite 355 of those parts ...
... diameter of a circle be divided into 7 equal parts , the circumference will contain not quite 22 of those parts ; if , again , the diameter be divided into 113 equal parts , the circumference will con- tain not quite 355 of those parts ...
Page 78
... diameter , and the arcs upon either side of it , being equal to one another , are called , each of them , a semi - circumference . * 2. The figure which is contained by an arc and its chord is called a segment . * That every diameter ...
... diameter , and the arcs upon either side of it , being equal to one another , are called , each of them , a semi - circumference . * 2. The figure which is contained by an arc and its chord is called a segment . * That every diameter ...
Page 80
... diameter cut any other chord at right angles , it shall bisect it ; and conversely , if a diameter bisect any other chord , it shall cut it at right angles . Let AB be a diameter of the circle ADE , the centre of which is C ; and ...
... diameter cut any other chord at right angles , it shall bisect it ; and conversely , if a diameter bisect any other chord , it shall cut it at right angles . Let AB be a diameter of the circle ADE , the centre of which is C ; and ...
Page 98
... diameter is assumed for unit . In fact represents ( 1 ) , the superficial area of the circle where the unit of supernicies is the square of the radius ; ( 2 ) the linear value of the circumference , where the diameter is the unit of ...
... diameter is assumed for unit . In fact represents ( 1 ) , the superficial area of the circle where the unit of supernicies is the square of the radius ; ( 2 ) the linear value of the circumference , where the diameter is the unit of ...
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Common terms and phrases
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical