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
... shown ( 4. ) that A C is equal to A B. Cor . 2. Of straight lines A B , AD , which are drawn from A to B C upon the same side of the perpendicular AF , that which is nearer to the perpendicular , as AD , is less than the other , which ...
... shown ( 4. ) that A C is equal to A B. Cor . 2. Of straight lines A B , AD , which are drawn from A to B C upon the same side of the perpendicular AF , that which is nearer to the perpendicular , as AD , is less than the other , which ...
Página 11
... shown ( by doubling over the figure , and applying the straight line E F upon EG , so that the point F may coincide with the point G , and therefore the straight line FK with GH , and E M with Em , )な that E M is equal to E m , and M K ...
... shown ( by doubling over the figure , and applying the straight line E F upon EG , so that the point F may coincide with the point G , and therefore the straight line FK with GH , and E M with Em , )な that E M is equal to E m , and M K ...
Página 12
... shown without difficulty , that certain straight lines will never meet one another ; the converse , viz . , that ... shown to be incomplete , and such as , if great circumspection be not used , may even lead to fallacies . of them be ...
... shown without difficulty , that certain straight lines will never meet one another ; the converse , viz . , that ... shown to be incomplete , and such as , if great circumspection be not used , may even lead to fallacies . of them be ...
Página 15
... shown , that the interjacent sides AD , B C are equal to one another ; therefore , ( 5. ) E A is equal to EC , and ED to EB , that is , AC , BD are bi- sected in E. Next , let the opposite sides of the quadrilateral ABCD be equal to one ...
... shown , that the interjacent sides AD , B C are equal to one another ; therefore , ( 5. ) E A is equal to EC , and ED to EB , that is , AC , BD are bi- sected in E. Next , let the opposite sides of the quadrilateral ABCD be equal to one ...
Página 17
... shown that no other straight line which passes through A , except A D only , can be parallel to BC ; that is , ( 14. Cor . 1. ) AD is parallel to B C. Therefore , & c . Cor . 1. It is evident that the second plies equally to ...
... shown that no other straight line which passes through A , except A D only , can be parallel to BC ; that is , ( 14. Cor . 1. ) AD is parallel to B C. Therefore , & c . Cor . 1. It is evident that the second plies equally to ...
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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