Plane and Solid GeometryGinn, 1895 - 320 sider |
Inni boken
Resultat 1-5 av 83
Side vii
... CIRCLES . 08888 18 38 59 69 77 94 100 DEFINITIONS SECTION 1. - CENTRAL ANGLES 102 104 66 3 . - 66 4 . QUADRILATERALS 19 66 66 2. CHORDS AND TANGENTS - INSCRIBED AND CIRCUMSCRIBED TRIANGLES 5. Two CIRCLES - 6.PROBLEMS . 106 ANGLES FORMED ...
... CIRCLES . 08888 18 38 59 69 77 94 100 DEFINITIONS SECTION 1. - CENTRAL ANGLES 102 104 66 3 . - 66 4 . QUADRILATERALS 19 66 66 2. CHORDS AND TANGENTS - INSCRIBED AND CIRCUMSCRIBED TRIANGLES 5. Two CIRCLES - 6.PROBLEMS . 106 ANGLES FORMED ...
Side viii
... CIRCLE . SECTION 1.- MENSURATION OF PLANE FIGURES 2. - PARTITION OF THE PERIGON - 66 66 3 . 66 4 . - REGULAR POLYGONS . · MENSURATION OF THE CIRCLE APPENDIX TO PLANE GEOMETRY . SECTION 1 . - MAXIMA AND MINIMA • 66 ― 2. - CONCURRENCE AND ...
... CIRCLE . SECTION 1.- MENSURATION OF PLANE FIGURES 2. - PARTITION OF THE PERIGON - 66 66 3 . 66 4 . - REGULAR POLYGONS . · MENSURATION OF THE CIRCLE APPENDIX TO PLANE GEOMETRY . SECTION 1 . - MAXIMA AND MINIMA • 66 ― 2. - CONCURRENCE AND ...
Side 10
... circle , circles . triangle , triangles . square , squares . rectangle , rectangles . ☐ , parallelogram , parallelo- L , grams . angle , angles . + plus , increased by . minus , diminished by . X , and absence of sign , denote 9 ...
... circle , circles . triangle , triangles . square , squares . rectangle , rectangles . ☐ , parallelogram , parallelo- L , grams . angle , angles . + plus , increased by . minus , diminished by . X , and absence of sign , denote 9 ...
Side 59
... circle . A part of a circumference is called an arc . Circumference Radius Center Diameter From the above definitions the following corollaries may be accepted without further proof : 1. A diameter of a circle is equal to the sum of two ...
... circle . A part of a circumference is called an arc . Circumference Radius Center Diameter From the above definitions the following corollaries may be accepted without further proof : 1. A diameter of a circle is equal to the sum of two ...
Side 60
... circle are studied , other instruments are permitted . Many other postulates than the six already given might be stated . Some are tacitly assumed . Such are these : ( 1 ) Any figure may be moved about in space without deformation , as ...
... circle are studied , other instruments are permitted . Many other postulates than the six already given might be stated . Some are tacitly assumed . Such are these : ( 1 ) Any figure may be moved about in space without deformation , as ...
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Plane and Solid Geometry David Eugene Smith,Wooster Woodruff Beman Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
a₁ ABCD altitude angles equal b₁ b₂ bisect bisectors called central angle chord circle circumcenter circumference circumscribed cone congruent construct convex COROLLARIES corresponding cylinder DEFINITIONS diagonals diameter dihedral angle divided draw drawn edges equal angles equal bases equidistant equilateral EXERCISES face angles figure of th frustum geometry given line given point greater Hence hypotenuse inscribed interior angles intersection isosceles lateral area line-segment lune mid-points oblique opposite sides orthocenter parallel lines parallelogram perigon perimeter perpendicular plane polar polyhedral angle polyhedron prism prismatic space Prismatoid produced Proof pyramid quadrilateral radii radius ratio rectangle rectangular parallelepiped regular regular polygon respectively rhombus right angle segments Similarly slant height sphere spherical polygon spherical surface spherical triangle square straight angle straight line Suppose symmetric tangent tetrahedron Theorem transverse section trihedral vertex vertices volume
Populære avsnitt
Side 90 - The projection of a point on a line is the foot of the perpendicular from the point to the line. Thus A
Side 24 - The third side is called the base of the isosceles triangle, and the equal sides are called the sides. A triangle which has no two sides equal is called a scalene triangle. The distance from one point to another is the length of the straight line-segment joining them. The distance from a point to a line is the length of the perpendicular from that point to that line. That this perpendicular is unique will be proved later. This is the meaning of the word distance in plane geometry. In speaking of...
Side 295 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Side 74 - Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Side 107 - XLI. 2. The perpendicular bisector of a chord passes through the center of the circle and bisects the subtended arcs.
Side 37 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Side 225 - Theorem. If each of two intersecting planes is perpendicular to a third plane, their line of intersection is also perpendicular to that plane. Given two planes, Q, R, intersecting in OP, and each perpendicular to plane M. To prove that OP _L M.
Side 265 - A Plane Surface, or a Plane, is a surface in which if any two points are taken, the straight line which joins these points will lie wholly in the surface.
Side 159 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 94 - To construct a parallelogram equal to a given triangle and having one of its angles equal to a given angle.