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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Página 10
... meet the straight line BC ; if with a radius equal to A F , it will meet BC in one point only , which is the foot of the perpendicular ; and if with a radius greater than A F , it will meet B C in two points , which are at equal ...
... meet the straight line BC ; if with a radius equal to A F , it will meet BC in one point only , which is the foot of the perpendicular ; and if with a radius greater than A F , it will meet B C in two points , which are at equal ...
Página 11
... meet the lines FD and G H. Hence , it appears , that A B , which never meets CD , cannot but be at right angles to EF : for , it has been shown , that any straight line which passes through E , and is not at right angles to E F , may be ...
... meet the lines FD and G H. Hence , it appears , that A B , which never meets CD , cannot but be at right angles to EF : for , it has been shown , that any straight line which passes through E , and is not at right angles to E F , may be ...
Página 12
... meet one another ; the converse , viz . , that straight lines , which never meet one another , must have cer- tain properties , has never been strictly demonstrated . It is agreed by Geome- trical writers that some assumption is ...
... meet one another ; the converse , viz . , that straight lines , which never meet one another , must have cer- tain properties , has never been strictly demonstrated . It is agreed by Geome- trical writers that some assumption is ...
Página 13
... meet upon either side of EF ; and hence the converse , because ( 14. Cor . 2. ) only one parallel can be drawn through the same point to the same straight line . That which is given in the text , however , seems preferable , as pointing ...
... meet upon either side of EF ; and hence the converse , because ( 14. Cor . 2. ) only one parallel can be drawn through the same point to the same straight line . That which is given in the text , however , seems preferable , as pointing ...
Página 17
... meet AD produced in F. The word complete , indeed , almost explains itself in future constructions it will be introduced without further notice . In the second place , therefore , let the triangles A B C , DB C , standing upon the same ...
... meet AD produced in F. The word complete , indeed , almost explains itself in future constructions it will be introduced without further notice . In the second place , therefore , let the triangles A B C , DB C , standing upon the same ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
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