Plane and Solid GeometryGinn, 1899 - 473 sider |
Inni boken
Resultat 1-5 av 75
Side ix
... . 360 FIGURES ON THE SURFACE OF A SPHERE . 370 MEASUREMENT OF SPHERICAL SURFACES . 388 SPHERICAL VOLUMES . EXERCISES . MISCELLANEOUS EXERCISES . 397 402 . 405 BOOK IX . CONIC SECTIONS . THE PARABOLA PAGE . CONTENTS . ix.
... . 360 FIGURES ON THE SURFACE OF A SPHERE . 370 MEASUREMENT OF SPHERICAL SURFACES . 388 SPHERICAL VOLUMES . EXERCISES . MISCELLANEOUS EXERCISES . 397 402 . 405 BOOK IX . CONIC SECTIONS . THE PARABOLA PAGE . CONTENTS . ix.
Side 1
... surface ; and if the faces are made smooth by polishing , so that , when a straight edge is applied to any one of them , the straight edge in every part will touch the surface , the faces are called plane surfaces , or planes . D FIG ...
... surface ; and if the faces are made smooth by polishing , so that , when a straight edge is applied to any one of them , the straight edge in every part will touch the surface , the faces are called plane surfaces , or planes . D FIG ...
Side 2
... surface is no part of a solid and has no thickness . Hence , A surface has only two dimensions , length and breadth . 7. A line is simply a boundary of a surface , or the inter- section of two surfaces . Since the surfaces have no ...
... surface is no part of a solid and has no thickness . Hence , A surface has only two dimensions , length and breadth . 7. A line is simply a boundary of a surface , or the inter- section of two surfaces . Since the surfaces have no ...
Side 3
... surface is represented and named by the lines which bound it , as BCDF . A solid is represented by the faces which ... surface . 13. If a line moves in space , it generates , in general , a surface . A surface can then be considered ...
... surface is represented and named by the lines which bound it , as BCDF . A solid is represented by the faces which ... surface . 13. If a line moves in space , it generates , in general , a surface . A surface can then be considered ...
Side 7
... surface , or a plane , is a surface in which , if any two points are taken , the straight line joining these points lies wholly in the surface . 40. A curved surface is a surface no part of which is plane . 41. A plane figure is a ...
... surface , or a plane , is a surface in which , if any two points are taken , the straight line joining these points lies wholly in the surface . 40. A curved surface is a surface no part of which is plane . 41. A plane figure is a ...
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Vanlige uttrykk og setninger
ABCD AC² adjacent angles altitude angles are equal apothem axis bisector bisects called centre chord circumference circumscribed coincide construct cylinder denote diagonals diameter dihedral angles divided Draw equiangular equidistant equilateral triangle equivalent exterior angle feet Find the area Find the locus frustum given circle given line given point given straight line greater Hence homologous homologous sides hypotenuse inches inscribed intersecting isosceles triangle lateral area lateral edges limit middle point number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular plane MN polyhedron prism prismatoid Proof proportional prove Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon respectively rhombus right angle right circular right triangle segments similar slant height sphere spherical square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangle is equal trihedral vertex vertices
Populære avsnitt
Side 274 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.
Side 50 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Side 66 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Side 41 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Side 169 - In any triangle the product of two sides is equal to the product of the diameter of the circumscribed circle by the altitude upon the third side.
Side 360 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Side 71 - The sum of the perpendiculars dropped from any point in the base of an isosceles triangle to the legs, is equal to the altitude upon one of the arms.
Side 156 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Side 71 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.
Side 383 - Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle.