Elements of the Geometry of Planes and Solids: With Four PlatesThe author, 1828 - 159 sider |
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Resultat 1-5 av 27
Side 15
... respectively ; the remainder CF , will be equal to the remainder AE ; the AE , being equal to AB , the CF , is also equal to AB ; therefore from the point C , has been drawn a line CF , equal to AB , as was required . Corol . As from ...
... respectively ; the remainder CF , will be equal to the remainder AE ; the AE , being equal to AB , the CF , is also equal to AB ; therefore from the point C , has been drawn a line CF , equal to AB , as was required . Corol . As from ...
Side 16
... the angle C , with the angle F ; therefore , the angles opposite to the equal sides will be respectively equal in the two triangles ; therefore all the parts of the two triangles will coincide and the whole 16 [ PART I. PLANE GEOMETRY .
... the angle C , with the angle F ; therefore , the angles opposite to the equal sides will be respectively equal in the two triangles ; therefore all the parts of the two triangles will coincide and the whole 16 [ PART I. PLANE GEOMETRY .
Side 18
... respectively : the re- mainders ABC , and ACB , will be equal ; and these are the angles of the triangle , which are opposite to the equal sides . Therefore , in an isosceles triangle , the angles which the third side makes with the ...
... respectively : the re- mainders ABC , and ACB , will be equal ; and these are the angles of the triangle , which are opposite to the equal sides . Therefore , in an isosceles triangle , the angles which the third side makes with the ...
Side 19
... respectively equal to DB , and DC , ending in the same points B , and C , the point D must fall either in one of the lines , or within the triangle , or without the triangle . Demonstration . I. If ( fig . 15 , ) the point D , falls in ...
... respectively equal to DB , and DC , ending in the same points B , and C , the point D must fall either in one of the lines , or within the triangle , or without the triangle . Demonstration . I. If ( fig . 15 , ) the point D , falls in ...
Side 20
... respectively equal to the three sides of the other , each to each , the angles in the one will be equal to the angles in the other , each to each ; those , namely , which are opposite to the equal sides , and the triangles will be equal ...
... respectively equal to the three sides of the other , each to each , the angles in the one will be equal to the angles in the other , each to each ; those , namely , which are opposite to the equal sides , and the triangles will be equal ...
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Elements of the Geometry of Planes and Solids: With Four Plates Ferdinand Rudolph Hassler Uten tilgangsbegrensning - 1828 |
Elements of the Geometry of Planes and Solids: With Four Plates (Classic ... F. R. Hassler Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
ABCD angle equal angle G angles opposite angular point APPLIC base and altitude bisect centre chord circumference circumscribed circle common intersection cone Corol cutting line cylinder Demonstr describe determine diagonal diameter draw drawn equal angles equal base equal sides equiangular equilateral triangle four right angles frustum given angle given circle given lines given point given straight line given triangle gles greater inner angles inscribed join line BC opposite angles parallel planes parallelepiped parallelogram perpendicular plane angles Plane Geometry point of intersection prisms PROBLEM Proof proportional protracted pyramid quadrilateral figure radii radius ratio rectilineal figure regular poligon Scholium segment side AC similar similar triangles six right solid angle solid content sphere square subtended supposition surface tangent thence THEOREM third plane third side three plane three sides triangle ABC triangular vertex
Populære avsnitt
Side 44 - IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle...
Side 20 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 11 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Side 2 - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.
Side 36 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 119 - If a solid angle be contained by three plane angles, any two of them are together greater than the third. Let the solid angle at A be contained by the three plane angles BAC, CAD, DAB : any two of them shall be together greater than the third.
Side 61 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and...
Side 113 - If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane.
Side 29 - EBF, there are two angles in the one equal to two angles in the other, each to each ; and the side EF, which is opposite to one of the equal angles in each, is common to both ; therefore the other sides are equal ; (I.
Side 16 - E the centre of the circle, and join EA, EB. Then, because AF is equal to FB, and FE common to the two triangles AFE, BFE, there are two sides in the one, equal to two sides in the other, and the base EA is equal to the base EB; therefore the angle AFE is equal...