Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Σελίδα 8
... Dihedral Angles 257 Polyhedral Angles 267 Supplementary Exercises 272 BOOK VIII Polyhedrons 273 · Prisms 273 Pyramids 287 Formulæ . • Similar and Regular Polyhedrons Supplementary Exercises 299 305 · 306 Cylinders and Cones Formulæ ...
... Dihedral Angles 257 Polyhedral Angles 267 Supplementary Exercises 272 BOOK VIII Polyhedrons 273 · Prisms 273 Pyramids 287 Formulæ . • Similar and Regular Polyhedrons Supplementary Exercises 299 305 · 306 Cylinders and Cones Formulæ ...
Σελίδα 257
... DIHEDRAL ANGLES 471. The difference in direction between two intersecting planes , or the opening between them , is called a Dihedral Angle , or simply a Dihedral . The intersection of the planes is called the edge of the dihedral angle ...
... DIHEDRAL ANGLES 471. The difference in direction between two intersecting planes , or the opening between them , is called a Dihedral Angle , or simply a Dihedral . The intersection of the planes is called the edge of the dihedral angle ...
Σελίδα 258
William James Milne. 475. Dihedral angles are adjacent , right , acute , obtuse , comple- mentary , supplementary , or vertical , according as their plane angles conform to the definitions of those terms given in plane geometry . Two ...
William James Milne. 475. Dihedral angles are adjacent , right , acute , obtuse , comple- mentary , supplementary , or vertical , according as their plane angles conform to the definitions of those terms given in plane geometry . Two ...
Σελίδα 259
William James Milne. Proposition XIV 477. Represent two dihedral angles whose plane angles are equal . How do the dihedral angles compare in size ? Theorem . Two dihedral angles are equal , if their plane angles are equal . B E Q H Data ...
William James Milne. Proposition XIV 477. Represent two dihedral angles whose plane angles are equal . How do the dihedral angles compare in size ? Theorem . Two dihedral angles are equal , if their plane angles are equal . B E Q H Data ...
Σελίδα 260
William James Milne. Proposition XV 478. Represent two dihedral angles whose plane angles are in the ratio of 3 to 4 , or any other ratio . What is the ratio of the dihedral angles ? Theorem . Dihedral angles are to each other as their ...
William James Milne. Proposition XV 478. Represent two dihedral angles whose plane angles are in the ratio of 3 to 4 , or any other ratio . What is the ratio of the dihedral angles ? Theorem . Dihedral angles are to each other as their ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle formed angles are equal angles compare apothem arc intercepted base bisector bisects called central angle chord circle whose center circumference circumscribed compare in length Construct a triangle cylinder Data diagonals diameter dihedral angles distance divided equal circles equidistant equilateral triangle equivalent exterior angle extremities FGHJK Find the locus frustum given line given point given straight line Hence homologous sides hypotenuse inscribed angle intersecting isosceles trapezoid isosceles triangle measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane polyhedron prism produced Proof prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angle right triangle secant segments sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 47 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 33 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Σελίδα 219 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 217 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Σελίδα 136 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Σελίδα 90 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.
Σελίδα 374 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 176 - 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.