Solid GeometryMacmillan, 1913 - 107 páginas |
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Página 247
... hypotenuse of a right triangle whose sides are one of the edges and a diagonal of one face ; the diagonal of the face is the hypotenuse of a right triangle whose sides are two of the edges . ] 2. Find the length of the diagonal of a ...
... hypotenuse of a right triangle whose sides are one of the edges and a diagonal of one face ; the diagonal of the face is the hypotenuse of a right triangle whose sides are two of the edges . ] 2. Find the length of the diagonal of a ...
Página ii
... hypotenuse ; The Tangent Column gives the ratio of the side opposite the angle to the side adjacent to the angle . To find the Cosine of any angle , take the sine of the comple- ment of that angle . 2. Chords and Arcs of a Unit Circle ...
... hypotenuse ; The Tangent Column gives the ratio of the side opposite the angle to the side adjacent to the angle . To find the Cosine of any angle , take the sine of the comple- ment of that angle . 2. Chords and Arcs of a Unit Circle ...
Página xxxiv
... hypotenuse and an acute angle of the one are equal , respectively , to the hypotenuse and an acute angle of the other . 70. Theorem XV . Two right triangles are congruent if the hypotenuse and a side of the one are equal , respectively ...
... hypotenuse and an acute angle of the one are equal , respectively , to the hypotenuse and an acute angle of the other . 70. Theorem XV . Two right triangles are congruent if the hypotenuse and a side of the one are equal , respectively ...
Página xli
... hypotenuse is the mean proportional be- tween the segments of the hypotenuse . 163. Corollary 2. If , in any right triangle , a perpendicular is drawn from the vertex of the right angle to the hypotenuse , each side of the right ...
... hypotenuse is the mean proportional be- tween the segments of the hypotenuse . 163. Corollary 2. If , in any right triangle , a perpendicular is drawn from the vertex of the right angle to the hypotenuse , each side of the right ...
Página xliii
... hypotenuse of a right triangle is equivalent to the sum of the squares on the two sides . 197. Corollary 1. The square on either side of a right triangle is equivalent to the square on the hypotenuse diminished by the square on the ...
... hypotenuse of a right triangle is equivalent to the sum of the squares on the two sides . 197. Corollary 1. The square on either side of a right triangle is equivalent to the square on the hypotenuse diminished by the square on the ...
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Términos y frases comunes
acute angle altitude h angle formed Angle Sine angles are equal bisect circle circumference congruent Corollary corresponding cube diameter dicular dihedral angle distance drawn equal altitudes equal spheres equilateral EXERCISES face angles Find the volume formula frustum gent Chord Arc given line given point Hence HINT hypotenuse inscribed intersection isosceles lateral area lateral edges length lines are parallel locus lune whose angle measured number of sides parallel planes parallelogram perimeter perpen perpendicular to MN plane angles Plane Geometry plane MN plane perpendicular points equidistant polar triangle pole prove radii radius ratio rectangular parallelepiped regular polygons regular polyhedron regular pyramid respectively right angles right prism right section right triangle segment Show similar slant height spherical degrees spherical excess spherical polygon spherical triangle square straight line surface tangent tetrahedron Theorem VII triangular prisms triangular pyramids trihedral truncated prism unequal V-ABC vertex vertices
Pasajes populares
Página xxxv - If two triangles have two sides of the one equal to two sides of the...
Página 312 - The area of a lune is to the area of the surface of the sphere as the angle of the lune is to four right angles.
Página 224 - Theorem. —A line perpendicular to one of two parallel lines is perpendicular to the other.
Página 303 - 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...
Página 258 - Aa, and let k be one of those parts ; through the points of division pass planes parallel to the plane of the bases ; the corresponding sections...
Página 220 - If a line is perpendicular to each of two lines at their point of intersection, it is perpendicular to their plane. Given FB perpendicular at B to each of two straight lines AB and BC of the plane MN. To prove FB perpendicular to the plane MN.
Página 254 - A truncated pyramid is the portion of a pyramid included between the base and a plane not parallel to the base.
Página xlii - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.
Página 319 - The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters.
Página 308 - ... respectively equal to two face angles and the included dihedral angle of the other.