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 |
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Seite vi
... demonstration of the converse part of Book I. Prop . 14. , is attended with a difficulty which is stated at some length in page 11 , as we have been anxious that the student should be fully aware of its existence . It will be better ...
... demonstration of the converse part of Book I. Prop . 14. , is attended with a difficulty which is stated at some length in page 11 , as we have been anxious that the student should be fully aware of its existence . It will be better ...
Seite 3
... demonstration , or course of reasoning ; -And , 4 ° . the conclusion , asserting that the thing required has been ... demonstrating merely the existence of the points and lines required in its enunciation , it becomes , for our purposes ...
... demonstration , or course of reasoning ; -And , 4 ° . the conclusion , asserting that the thing required has been ... demonstrating merely the existence of the points and lines required in its enunciation , it becomes , for our purposes ...
Seite 4
... demonstrating the propositions of the following sections , and are therefore here premised : - AXIOMS . * 1. Things , which are equal to the same , are equal to one another . 2. If equals be added to equals , the wholes are equal . 3 ...
... demonstrating the propositions of the following sections , and are therefore here premised : - AXIOMS . * 1. Things , which are equal to the same , are equal to one another . 2. If equals be added to equals , the wholes are equal . 3 ...
Seite 11
... demonstration which is said , and with truth , to characterize every other part of Geometry . Of the two particulars which have been assumed , one indeed , viz . , that which regards the unlimited di- vergency of cutting lines , seems ...
... demonstration which is said , and with truth , to characterize every other part of Geometry . Of the two particulars which have been assumed , one indeed , viz . , that which regards the unlimited di- vergency of cutting lines , seems ...
Seite 12
... demonstration itself rests upon the converse part of Prop . 14. , which is here in question . The reader must not imagine , therefore , that the above assumption is at all assisted by that demonstration . PROP . 15. ( EUc . i . 27 , 28 ...
... demonstration itself rests upon the converse part of Prop . 14. , which is here in question . The reader must not imagine , therefore , that the above assumption is at all assisted by that demonstration . PROP . 15. ( EUc . i . 27 , 28 ...
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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