Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Σελίδα 8
... Prisms Pyramids 273 273 287 Similar and Regular Polyhedrons Formulæ . Supplementary Exercises 299 305 306 BOOK IX Cylinders and Cones 309 Formulæ . 325 Supplementary Exercises 325 BOOK X Spheres 327 Spherical Angles and Polygons ...
... Prisms Pyramids 273 273 287 Similar and Regular Polyhedrons Formulæ . Supplementary Exercises 299 305 306 BOOK IX Cylinders and Cones 309 Formulæ . 325 Supplementary Exercises 325 BOOK X Spheres 327 Spherical Angles and Polygons ...
Σελίδα 273
... prism are parallel and equal . § 153 . The perpendicular distance between the bases of a prism is its altitude . MILNE'S GEOM . -18 273 506. A prism is called triangular , quadrangular , hexagonal BOOK VIII Polyhedrons Prisms Pyramids.
... prism are parallel and equal . § 153 . The perpendicular distance between the bases of a prism is its altitude . MILNE'S GEOM . -18 273 506. A prism is called triangular , quadrangular , hexagonal BOOK VIII Polyhedrons Prisms Pyramids.
Σελίδα 274
... Prism . 508. A prism whose lateral edges are not perpendicular to its bases is called an Oblique Prism . 509. A right prism whose bases are regular polygons is called a Regular Prism . 510. A section of a prism made by a plane ...
... Prism . 508. A prism whose lateral edges are not perpendicular to its bases is called an Oblique Prism . 509. A right prism whose bases are regular polygons is called a Regular Prism . 510. A section of a prism made by a plane ...
Σελίδα 276
... prism . Since the faces are parallelograms , how does are with a rectangle having the same base and altitude ... prism compare with f its lateral edge and the perimeter of a right section ? ectangle is the lateral surface of a right ...
... prism . Since the faces are parallelograms , how does are with a rectangle having the same base and altitude ... prism compare with f its lateral edge and the perimeter of a right section ? ectangle is the lateral surface of a right ...
Σελίδα 277
... prism ; cut it by parallel planes . What figures are the sections made by these planes ? How do they compare ? 2. How does any section of a prism parallel to the base compare with the base ? 3. How do all right sections of the same ...
... prism ; cut it by parallel planes . What figures are the sections made by these planes ? How do they compare ? 2. How does any section of a prism parallel to the base compare with the base ? 3. How do all right sections of the same ...
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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 Data diagonals diameter dihedral angles distance divide equal circles equidistant equilateral triangle equivalent exterior extremities Find the locus frustum given line given point given straight line Hence homologous homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane prism produced Proof proportion prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angles right triangle secant segment similar sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 103 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 147 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 65 - 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 45 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 62 - 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 59 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 81 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 45 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 31 - 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 88 - 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.