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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Resultat 1-5 av 49
Side 9
... pendicular to a given straight line of indefinite length , from any given point without it ; but , from the same point , there cannot be drawn more than one perpendicular to the same straight line . Let BC be a given straight line of ...
... pendicular to a given straight line of indefinite length , from any given point without it ; but , from the same point , there cannot be drawn more than one perpendicular to the same straight line . Let BC be a given straight line of ...
Side 10
... pendicular to B C , the two angles , ÁDF and AFD , of the triangle AD F , would be together equal to two right angles , which ( 8. ) is impossible . Therefore , & c . Cor . 1. If from any point A to a straight line B C , there be drawn ...
... pendicular to B C , the two angles , ÁDF and AFD , of the triangle AD F , would be together equal to two right angles , which ( 8. ) is impossible . Therefore , & c . Cor . 1. If from any point A to a straight line B C , there be drawn ...
Side 23
... pendicular AD : the difference of the squares of AB , A C , shall be equal to the difference of the squares of BD , CD . For the square of BD is as much greater than the square CD , as the squares of B D , A D together are greater than ...
... pendicular AD : the difference of the squares of AB , A C , shall be equal to the difference of the squares of BD , CD . For the square of BD is as much greater than the square CD , as the squares of B D , A D together are greater than ...
Side 61
... pendicular be drawn from the right angle to the hypotenuse , the triangles upon either side of it shall be similar to the whole triangle , and to one another . A Let A B C be a right - angled triangle , and from the right angle A , let ...
... pendicular be drawn from the right angle to the hypotenuse , the triangles upon either side of it shall be similar to the whole triangle , and to one another . A Let A B C be a right - angled triangle , and from the right angle A , let ...
Side 96
... pendicular to , and therefore ( 3. ) bisect- ing AB in the point E I I. Then , if EF be drawn , touching the circle in D , and terminated by CA and CB produced ; EF will ( 27. Cor . 2. ) be a side of the circumscribed polygon L of the ...
... pendicular to , and therefore ( 3. ) bisect- ing AB in the point E I I. Then , if EF be drawn , touching the circle in D , and terminated by CA and CB produced ; EF will ( 27. Cor . 2. ) be a side of the circumscribed polygon L of the ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Uten tilgangsbegrensning - 1835 |
Vanlige uttrykk og setninger
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