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 iv
BOOK IV . • Page 125 Section 1. Of lines , perpendicular , or inclined , or parallel , to planes . 2. Of planes which are parallel , or inclined , or perpendicular , to other planes · 3. Of solids contained by planes 4. Problems BOOK V ...
BOOK IV . • Page 125 Section 1. Of lines , perpendicular , or inclined , or parallel , to planes . 2. Of planes which are parallel , or inclined , or perpendicular , to other planes · 3. Of solids contained by planes 4. Problems BOOK V ...
Página 2
... perpendicular to it . 11. If an angle be not right , it is called oblique . An oblique angle is said to be acute or obtuse , ac- cording as it is less E V B or greater than a right angle . In the adjoined figure , ABC is a right angle ...
... perpendicular to it . 11. If an angle be not right , it is called oblique . An oblique angle is said to be acute or obtuse , ac- cording as it is less E V B or greater than a right angle . In the adjoined figure , ABC is a right angle ...
Página 10
... perpendicular AF , that which is nearer to the perpendicular , as AD , is less than the other , which is more remote . For , the angle ABD or ABF being ( 8. Cor . 1. ) less than the exterior right angle AFC , and again AFD or AFC less ...
... perpendicular AF , that which is nearer to the perpendicular , as AD , is less than the other , which is more remote . For , the angle ABD or ABF being ( 8. Cor . 1. ) less than the exterior right angle AFC , and again AFD or AFC less ...
Página 12
... perpendicular . " Hence , if two straight lines be paral- lel , the perpendiculars drawn from the points of the one to the other , must all That of Euclid ( the famous twelfth axiom , see 15. Cor . 4. ) is the converse of our eighth ...
... perpendicular . " Hence , if two straight lines be paral- lel , the perpendiculars drawn from the points of the one to the other , must all That of Euclid ( the famous twelfth axiom , see 15. Cor . 4. ) is the converse of our eighth ...
Página 13
... perpendicular to CD ( 12. ) : AC shall be equal to B D. B D Join B C. Then because AC and B D are perpendicular to the same straight line CD , they are parallel ( 14. ) . There- fore , the alternate angles ACB , DBC , are equal to one ...
... perpendicular to CD ( 12. ) : AC shall be equal to B D. B D Join B C. Then because AC and B D are perpendicular to the same straight line CD , they are parallel ( 14. ) . There- fore , the alternate angles ACB , DBC , are equal to one ...
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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