Plane and Solid GeometryGinn, 1895 - 320 sider |
Inni boken
Resultat 1-5 av 52
Side 3
... bisected at B , and B is called the mid - point of AC . If a segment is drawn out to greater length it is said to be produced . To produce AB means to extend it through B , toward C , in the above figure . To produce BA means to extend ...
... bisected at B , and B is called the mid - point of AC . If a segment is drawn out to greater length it is said to be produced . To produce AB means to extend it through B , toward C , in the above figure . To produce BA means to extend ...
Side 5
... bisect that angle , and is called its bisector . In the preceding figure , if angle AOB equals angle BOC , then OB is the bisector of angle AOC . And , in general , to bisect a magnitude means to divide it into two equal parts . A right ...
... bisect that angle , and is called its bisector . In the preceding figure , if angle AOB equals angle BOC , then OB is the bisector of angle AOC . And , in general , to bisect a magnitude means to divide it into two equal parts . A right ...
Side 14
... since AM and AP are bot are equal . ( State ax . 7. ) 3. But this is impossible , for AM ( State ax . 8. ) 4. .. the supposition that there bisection is absurd . Theorem 8. An angle can be bisected by only one. 14 PLANE GEOMETRY .
... since AM and AP are bot are equal . ( State ax . 7. ) 3. But this is impossible , for AM ( State ax . 8. ) 4. .. the supposition that there bisection is absurd . Theorem 8. An angle can be bisected by only one. 14 PLANE GEOMETRY .
Side 15
... bisected ; similarly , ZYOB is half of Z YOX ' , and this suggests the following proof . ] B two lines , XX ' , YY ' , cutting at O ; also OA , OB , bisecting Given To prove Proof . 1 . 2 . 3 . XOY , YOX ' , respectively . that OA OB ...
... bisected ; similarly , ZYOB is half of Z YOX ' , and this suggests the following proof . ] B two lines , XX ' , YY ' , cutting at O ; also OA , OB , bisecting Given To prove Proof . 1 . 2 . 3 . XOY , YOX ' , respectively . that OA OB ...
Side 16
... bisecting Z XOY , OB bisecting YOX ' , OC bisect- ing X'OY ' and OD bisecting ZY'OX . To prove that COA and DOB are straight lines . Y X Proof . 1 . AOB and BOC are rt .. Th . 9 ( State th . 9. ) 2 ... the two together form a st . angle ...
... bisecting Z XOY , OB bisecting YOX ' , OC bisect- ing X'OY ' and OD bisecting ZY'OX . To prove that COA and DOB are straight lines . Y X Proof . 1 . AOB and BOC are rt .. Th . 9 ( State th . 9. ) 2 ... the two together form a st . angle ...
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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.