Plane and Solid GeometryGinn, 1895 - 320 sider |
Inni boken
Resultat 1-5 av 22
Side 29
... CONVERSE . Two theorems are said to be the converse , each of the other , when what is given in the one is what is to be proved in the other . E.g. ths . 6 and 7. The converse of a theorem must not be confused with its reciprocal . Ths ...
... CONVERSE . Two theorems are said to be the converse , each of the other , when what is given in the one is what is to be proved in the other . E.g. ths . 6 and 7. The converse of a theorem must not be confused with its reciprocal . Ths ...
Side 30
... Converse . By its use the proof of the converse of many theorems , where true , is made very simple . The student should not proceed further unless the Law of Converse is thoroughly understood , and its proof mastered . Th . 7 may now ...
... Converse . By its use the proof of the converse of many theorems , where true , is made very simple . The student should not proceed further unless the Law of Converse is thoroughly understood , and its proof mastered . Th . 7 may now ...
Side 31
... converse of each of the following : ( a ) th . 3 ; ( b ) th . 4 ; ( c ) th . 6 ; ( d ) th . 7 ; ( e ) this statement , If the animal is a horse , then the animal has two eyes . Of these converses , how many are true ? 56. In th . 8 ...
... converse of each of the following : ( a ) th . 3 ; ( b ) th . 4 ; ( c ) th . 6 ; ( d ) th . 7 ; ( e ) this statement , If the animal is a horse , then the animal has two eyes . Of these converses , how many are true ? 56. In th . 8 ...
Side 34
... Converse . ) Law of Conv . EXERCISES . 68. Are ths . 10 and 11 reciprocals ? converses ? 69. In ABC , suppose CA > AB , and that points P , Q are taken on AB , CA , respectively , so that PB CQ . Prove that BQ < CP . = 70. Investigate ...
... Converse . ) Law of Conv . EXERCISES . 68. Are ths . 10 and 11 reciprocals ? converses ? 69. In ABC , suppose CA > AB , and that points P , Q are taken on AB , CA , respectively , so that PB CQ . Prove that BQ < CP . = 70. Investigate ...
Side 46
... converse of cor . 2 is true . For if ZA ' cuts OP , then ZA ' > ZA , by cor . 2 . 66 ZA 66 66 66 66 < 66 66 66 66 " Z is on 66 66 66 = 66 ( Why ? ) .. the Law of Converse evidently applies to this case . 4. Of two obliques from a point ...
... converse of cor . 2 is true . For if ZA ' cuts OP , then ZA ' > ZA , by cor . 2 . 66 ZA 66 66 66 66 < 66 66 66 66 " Z is on 66 66 66 = 66 ( Why ? ) .. the Law of Converse evidently applies to this case . 4. Of two obliques from a point ...
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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.