Elements of Geometry, Plane and Spherical: With Numerous Practical ProblemsIvison, Phinney, Blakeman & Company, 1868 - 262 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 10
... Parallel Lines are lines which have the same direction . Hence parallel lines can never meet , however far they may be produced ; for two lines taking the same direction cannot approach or recede from each other . Two parallel lines ...
... Parallel Lines are lines which have the same direction . Hence parallel lines can never meet , however far they may be produced ; for two lines taking the same direction cannot approach or recede from each other . Two parallel lines ...
Σελίδα 11
... parallel nor perpen . dicular to each other are called oblique lines . 18. The Vertex or Apex of an angle is the point in which the including lines meet . 19. An angle is commonly designated by a letter at its vertex ; but when two or ...
... parallel nor perpen . dicular to each other are called oblique lines . 18. The Vertex or Apex of an angle is the point in which the including lines meet . 19. An angle is commonly designated by a letter at its vertex ; but when two or ...
Σελίδα 13
... parallel . 39. A Trapezoid is a quadrilateral in which two opposite sides are parallel , and the other two oblique . 40. Polygons bounded by a greater number of sides than four are denominated only by the number of sides 2 DEFINITIONS ...
... parallel . 39. A Trapezoid is a quadrilateral in which two opposite sides are parallel , and the other two oblique . 40. Polygons bounded by a greater number of sides than four are denominated only by the number of sides 2 DEFINITIONS ...
Σελίδα 15
... parallel to AC , and from each point of divi- sion on AC draw lines parallel to CD or AB ; then it is as obvious as an axiom that the parallelogram will contain 5 x DEFINITIONS . 15 Units of Measure.
... parallel to AC , and from each point of divi- sion on AC draw lines parallel to CD or AB ; then it is as obvious as an axiom that the parallelogram will contain 5 x DEFINITIONS . 15 Units of Measure.
Σελίδα 22
... parallels . ] Let the line EF intersect the parallels AB and CD ; then we are to demonstrate that the angles BGH + GHD = 2 R. L Because GB and HD are parallel , they are equally in- clined to the line EF , or have B H D There- the same ...
... parallels . ] Let the line EF intersect the parallels AB and CD ; then we are to demonstrate that the angles BGH + GHD = 2 R. L Because GB and HD are parallel , they are equally in- clined to the line EF , or have B H D There- the same ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Plane and Spherical: With Numerous Practical Problems Horatio Nelson Robinson Προβολή αποσπασμάτων - 1868 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² altitude angle ABC axis base and altitude bisected chord circ circumference circumscribed polygon common cone convex surface cylinder diagonal diameter dicular distance divided draw equal altitudes equal and parallel equal angles equal bases equal sides equation equiangular equivalent four magnitudes frustum given line greater half Hence the theorem homologous edges hypotenuse interior angles isosceles Let ABC line drawn lune measured middle point multiplied number of sides opposite angles parallel lines parallelogram parallelopipe parallelopipedon pendicular perimeter perpen perpendicular plane ST polyedron PROB PROBLEM produced proportion PROPOSITION prove radii radius regular polygon right angles right-angled triangle SCHOLIUM secant segment semi-polygon slant height solid angles sphere spherical polygon spherical triangle square described straight line tangent three angles triangle ABC triangular prisms triedral angles vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 30 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 96 - 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 128 - To inscribe a regular polygon of a certain number of sides in a given circle, we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal, the chords AB, BC, CD, &c.
Σελίδα 174 - A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis.
Σελίδα 254 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 77 - FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi.
Σελίδα 113 - From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line.
Σελίδα 160 - THEOREM. If two planes are perpendicular to the same straight line, they are parallel to each other. Let the planes MN...
Σελίδα 58 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 61 - A fourth proportional to three quantities is the fourth term of a proportion, whose first three terms are the three quantities taken in their order. Thus, in the proportion a : b = c : d, d is a fourth proportional to a, b, and c.