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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... greater than a right angle . In the adjoined figure , ABC is a right angle ... sides of the figure , and it is said to be trilateral , or quadrilateral , or multilateral , according as it has three ... any two of its 2 [ I. § 1 . GEOMETRY .
... greater than a right angle . In the adjoined figure , ABC is a right angle ... sides of the figure , and it is said to be trilateral , or quadrilateral , or multilateral , according as it has three ... any two of its 2 [ I. § 1 . GEOMETRY .
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... two triangles are equal also as to surface . Scholium . It is indifferent which of the two trian- gles DEF be taken , although in these triangles the side ... third angle of the one shall be equal ... equal angles A B C , A 6 [ I. § 2 .
... two triangles are equal also as to surface . Scholium . It is indifferent which of the two trian- gles DEF be taken , although in these triangles the side ... third angle of the one shall be equal ... equal angles A B C , A 6 [ I. § 2 .
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... triangle ABC , let the side AB be greater than A C , the angle A C B shall ... two triangles ABC , DB C , upon the same base BC , and if the vertex of one of them , as D , fall within the other , the B two sides ... together will be less than ...
... triangle ABC , let the side AB be greater than A C , the angle A C B shall ... two triangles ABC , DB C , upon the same base BC , and if the vertex of one of them , as D , fall within the other , the B two sides ... together will be less than ...
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... than of some certain length , there must be some , one or more , shorter than the others . Therefore , the shortest path is the straight line ACB . From this pro- perty the straight line which joins two ... sides of the one equal to two sides ...
... than of some certain length , there must be some , one or more , shorter than the others . Therefore , the shortest path is the straight line ACB . From this pro- perty the straight line which joins two ... sides of the one equal to two sides ...
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... together greater than the squares of Operations so simple require. requires ... two sciences . is equal to the rectangle BK ( ax . 1. ) . And , in like manner , it may be shewn that the square of BC is equal to ... sides of triangles 65 6 5.
... together greater than the squares of Operations so simple require. requires ... two sciences . is equal to the rectangle BK ( ax . 1. ) . And , in like manner , it may be shewn that the square of BC is equal to ... sides of triangles 65 6 5.
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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