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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Σελίδα vi
... pass two different straight lines , each of which is parallel to the same straight line . " 66 The converse part of Prop . 14 , viz . that " parallel straight lines are at right angles to the same straight line , " will then be ...
... pass two different straight lines , each of which is parallel to the same straight line . " 66 The converse part of Prop . 14 , viz . that " parallel straight lines are at right angles to the same straight line , " will then be ...
Σελίδα 6
... pass through erect a perpendicular to B C ( Post . 3 . the vertex A , let this perpendicular , if possible , cut one of the sides as A B in E , and join E C. Then , because the tri- angles ED B , EDC have two sides of the one equal to ...
... pass through erect a perpendicular to B C ( Post . 3 . the vertex A , let this perpendicular , if possible , cut one of the sides as A B in E , and join E C. Then , because the tri- angles ED B , EDC have two sides of the one equal to ...
Σελίδα 38
... pass on to that Section , or rather , to the concluding Scholium of the present one ; by which he will omit nothing that will be cited in the future pages of this treatise . On the other hand , it is recommended to beginners , and such ...
... pass on to that Section , or rather , to the concluding Scholium of the present one ; by which he will omit nothing that will be cited in the future pages of this treatise . On the other hand , it is recommended to beginners , and such ...
Σελίδα 58
... pass through the vertex of the triangle . Let A B C be a triangle , and let the straight line D E , which is drawn pa- rallel to the base B C , B cut the sides A B , AC in the points D , E respectively : then if any straight line AF be ...
... pass through the vertex of the triangle . Let A B C be a triangle , and let the straight line D E , which is drawn pa- rallel to the base B C , B cut the sides A B , AC in the points D , E respectively : then if any straight line AF be ...
Σελίδα 59
no other than a straight line , and FG produced passes through A. Therefore , & c . Cor . 1. If two parallel straight lines be cut by any number of straight lines which pass through the same point , they shall be similarly divided in ...
no other than a straight line , and FG produced passes through A. Therefore , & c . Cor . 1. If two parallel straight lines be cut by any number of straight lines which pass through the same point , they shall be similarly divided in ...
Άλλες εκδόσεις - Προβολή όλων
Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Πλήρης προβολή - 1835 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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