Elements of the Geometry of Planes and Solids: With Four Plates |
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Elements of the Geometry of Planes and Solids: With Four Plates (Classic ... F. R. Hassler No preview available - 2018 |
Common terms and phrases
ABCD angle equal angle G angles opposite angular point APPLIC base and altitude bisect centre chord circumscribed circle common intersection cone Corol cut the circumference cutting line cylinder Demonstr describe determine diagonal diameter distance draw drawn equal angles equal base equal sides equiangular equilateral triangle four right angles frustum given angle given circle 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 solid angles solid content sphere square subtended supposition surface tangent thence THEOREM third plane third side three lines three sides triangle ABC vertex
Popular passages
Page 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.
Page 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.
Page 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.
Page 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.
Page 36 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 109 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Page 105 - If one of two parallel lines is perpendicular to a plane, the other is also perpendicular to the plane.
Page 59 - 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...
Page 29 - BFE; (i. def. 10.) therefore, in the two triangles, EAF, 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.
Page 56 - The angle at the centre of a circle is double the angle at the circumference on the same arc.