Plane and Solid GeometryGinn, 1895 - 320 sider |
Inni boken
Resultat 1-5 av 85
Side 8
... theorems and problems . A theorem is a statement of a geometric truth to be demon- strated . A problem is a statement of a geometric construction to be made . For example : Theorem , If two lines intersect , the vertical angles are ...
... theorems and problems . A theorem is a statement of a geometric truth to be demon- strated . A problem is a statement of a geometric construction to be made . For example : Theorem , If two lines intersect , the vertical angles are ...
Side 10
... theorem . pr . problem . cor . corollary . subst . substitution . prel . preliminary . const . construction . ppd ... Theorems . THE following theorems are 10 PLANE GEOMETRY .
... theorem . pr . problem . cor . corollary . subst . substitution . prel . preliminary . const . construction . ppd ... Theorems . THE following theorems are 10 PLANE GEOMETRY .
Side 11
... Theorem 1. All right angles are equal . [ SUGGESTION . The only angles of whose equality we are thus far assured are straight angles . Hence in some way we must base ... Theorem 2. At a given point in a given line PRELIMINARY THEOREMS . 11.
... Theorem 1. All right angles are equal . [ SUGGESTION . The only angles of whose equality we are thus far assured are straight angles . Hence in some way we must base ... Theorem 2. At a given point in a given line PRELIMINARY THEOREMS . 11.
Side 12
... Theorem 3. The complements of equal angles are , equal . We [ SUGGESTION . Three lines of proof may present themselves . may base our proof on the equality of straight angles , as we did in th . 1 , or we may take an indirect proof as ...
... Theorem 3. The complements of equal angles are , equal . We [ SUGGESTION . Three lines of proof may present themselves . may base our proof on the equality of straight angles , as we did in th . 1 , or we may take an indirect proof as ...
Side 13
... Theorem 4. The supplements of equal angles are equal . [ Let the student draw the figure and give the proof after the manner of th . 3. Use only four steps in the ... Theorem 6. If two lines cut one another , the PRELIMINARY THEOREMS . 13.
... Theorem 4. The supplements of equal angles are equal . [ Let the student draw the figure and give the proof after the manner of th . 3. Use only four steps in the ... Theorem 6. If two lines cut one another , the PRELIMINARY THEOREMS . 13.
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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 are equal angles equal b₁ b₂ bisected bisectors C₁ 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 equidistant equilateral EXERCISES face angles figure of th frustum geometry given line given point greater hypotenuse inscribed interior angles intersection isosceles triangle line-segment locus lune mid-points oblique opposite sides P₁ parallel parallelepiped parallelogram perigon perimeter perpendicular plane plane geometry polyhedral angle prism Prismatoid Proof pyramid quadrilateral radii radius ratio rectangle regular regular polygon respectively rhombus right angle right-angled triangle Section segments Similarly slant height sphere spherical polygon spherical surface spherical triangle square straight angle straight line Suppose symmetric tangent tetrahedron Theorem transversal trapezoid trihedral vertex vertices
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 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 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 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 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 94 - To construct a parallelogram equal to a given triangle and having one of its angles equal to a given angle.
Side 24 - ... 3. If two sides of a triangle are equal, the angles opposite these sides are equal ; and conversely.