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 3
... altitude of a parallelogram or triangle , is a perpendicular drawn to the base from the side or angle opposite . 22. The diagonals of a quadrilateral are the straight lines which join its op- posite angles . 23. If through a point , E ...
... altitude of a parallelogram or triangle , is a perpendicular drawn to the base from the side or angle opposite . 22. The diagonals of a quadrilateral are the straight lines which join its op- posite angles . 23. If through a point , E ...
Página 17
... altitude . PROP . 27. ( Euc . i . 37 , 38 , 39 , & 40. ) Triangles upon the same base , or upon equal bases , and ... altitude , and a base equal to the sum of its parallel sides . Let A B C D be a tra- pezoid , having the side . AD ...
... altitude . PROP . 27. ( Euc . i . 37 , 38 , 39 , & 40. ) Triangles upon the same base , or upon equal bases , and ... altitude , and a base equal to the sum of its parallel sides . Let A B C D be a tra- pezoid , having the side . AD ...
Página 18
... altitude . Therefore , the trape- zoid ABCD is equal to the half of a rectangle of the same altitude , and upon a base which is equal to the sum of A D , BC . Therefore , & c . PROP . 29 . If the adjoining sides of a rectangle contain ...
... altitude . Therefore , the trape- zoid ABCD is equal to the half of a rectangle of the same altitude , and upon a base which is equal to the sum of A D , BC . Therefore , & c . PROP . 29 . If the adjoining sides of a rectangle contain ...
Página 33
For example , let A B C D , and EFGH be two rectangles , having equal altitudes , and let their bases A B , E F , contain the same straight line M 5 and 6 times respectively : divide A B , E F , into the parts A b , & c . Ef , & c ...
For example , let A B C D , and EFGH be two rectangles , having equal altitudes , and let their bases A B , E F , contain the same straight line M 5 and 6 times respectively : divide A B , E F , into the parts A b , & c . Ef , & c ...
Página 49
... altitude , and let AB , EF be their bases . Let the base E F be divided into any number of equal parts E f , & c . , and the rect- angle E F G H into as many equal rect- angles , Efg H , & c . by lines drawn D c A b C B H Y E f through ...
... altitude , and let AB , EF be their bases . Let the base E F be divided into any number of equal parts E f , & c . , and the rect- angle E F G H into as many equal rect- angles , Efg H , & c . by lines drawn D c A b C B H Y E f through ...
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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