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 3
... straight line AB , or the square of which A B is a side , is called the square of A B , or A B square . 21. The altitude of a parallelogram or triangle , is a perpendicular drawn ... lines which join its op- posite angles . 23. If through a ...
... straight line AB , or the square of which A B is a side , is called the square of A B , or A B square . 21. The altitude of a parallelogram or triangle , is a perpendicular drawn ... lines which join its op- posite angles . 23. If through a ...
Σελίδα 78
... such that CGXGF may be equal to BDX CF ( 56. Cor . ) : join B G , and let GB ... lines G H may be drawn satisfying the given conditions . When BD is ex- actly a fourth of CF , these two points coincide with one ... straight line G B CkND hH D't ...
... such that CGXGF may be equal to BDX CF ( 56. Cor . ) : join B G , and let GB ... lines G H may be drawn satisfying the given conditions . When BD is ex- actly a fourth of CF , these two points coincide with one ... straight line G B CkND hH D't ...
Σελίδα 79
... circumference and a diameter , is equal to half the circle , and is therefore called a semicircle . 3. An angle in a segment is the angle contained by two straight lines drawn ... figure con- tained by any arc , and the radii drawn to its ...
... circumference and a diameter , is equal to half the circle , and is therefore called a semicircle . 3. An angle in a segment is the angle contained by two straight lines drawn ... figure con- tained by any arc , and the radii drawn to its ...
Σελίδα 118
and touching the straight line BC : this shall be the circle required . For , let it touch B C in B ; join BD , and let it cut the circumference DEF in K , and join K F : then , because ( 15 . Cor . 1. ) D K F is a right angle , the tri ...
and touching the straight line BC : this shall be the circle required . For , let it touch B C in B ; join BD , and let it cut the circumference DEF in K , and join K F : then , because ( 15 . Cor . 1. ) D K F is a right angle , the tri ...
Σελίδα 162
... lines XO , X O ' drawn to their centres from the cen- A tre of the solid , are in one and the same straight line ... figure ADHG is a parallelogram ( I. 21. ) ; but the side A D is equal to the ... called the ex - tetrahedron , ex - cube , ex ...
... lines XO , X O ' drawn to their centres from the cen- A tre of the solid , are in one and the same straight line ... figure ADHG is a parallelogram ( I. 21. ) ; but the side A D is equal to the ... called the ex - tetrahedron , ex - cube , ex ...
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