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
... radius or semidiameter . D The truths and questions of Geometry are , for the sake of perspicuity , stated and considered in small separate discourses called Propositions ; it being proposed in them either to demonstrate something which ...
... radius or semidiameter . D The truths and questions of Geometry are , for the sake of perspicuity , stated and considered in small separate discourses called Propositions ; it being proposed in them either to demonstrate something which ...
Page 8
... radius AC describe a cir- cle , cutting ADEB in D ; and join AD , DB . Then , be- cause A D and D B are together greater than A B , and that A D is equal to A C , DB is greater than C B ( ax . 6. ) . There- fore , if a circle be ...
... radius AC describe a cir- cle , cutting ADEB in D ; and join AD , DB . Then , be- cause A D and D B are together greater than A B , and that A D is equal to A C , DB is greater than C B ( ax . 6. ) . There- fore , if a circle be ...
Page 10
... radius AE de- scribe a circle cutting B C in the points B and C upon each side of the point D , ( Post . 2 ... radius less than the perpendicular A F , it will not meet the straight line BC ; if with a radius equal to A F , it will meet ...
... radius AE de- scribe a circle cutting B C in the points B and C upon each side of the point D , ( Post . 2 ... radius less than the perpendicular A F , it will not meet the straight line BC ; if with a radius equal to A F , it will meet ...
Page 25
... radius equal to three times M , describe a circle from the centre A , with a radius equal to five times M , describe a second circle , cutting the former in D , and join DC , DA . Then , A because the square C B M of five times M is ...
... radius equal to three times M , describe a circle from the centre A , with a radius equal to five times M , describe a second circle , cutting the former in D , and join DC , DA . Then , A because the square C B M of five times M is ...
Page 26
... radius equal to CE or CD , describe a circle , cutting A B in B , and from the centre B with a radius equal to D E , describe a circle cutting the last circle in F ; and join FA , F B. Then , because the triangles ECD , FAB have the ...
... radius equal to CE or CD , describe a circle , cutting A B in B , and from the centre B with a radius equal to D E , describe a circle cutting the last circle in F ; and join FA , F B. Then , because the triangles ECD , FAB have the ...
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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