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 54.
Σελίδα 14
... Altitude of a polygon is the perpendicular distance between the base and a side or angle opposite the base . 45. Equal Magnitudes are those which are not only equal in all their parts , but which also , when applied the one to the other ...
... Altitude of a polygon is the perpendicular distance between the base and a side or angle opposite the base . 45. Equal Magnitudes are those which are not only equal in all their parts , but which also , when applied the one to the other ...
Σελίδα 16
... altitude . EXPLANATION OF TERMS . 55. An Axiom is a self - evident truth , not only too sim ple to require , but too simple to admit of , demonstration . 56. A Proposition is something which is either pro- posed to be done , or to be ...
... altitude . EXPLANATION OF TERMS . 55. An Axiom is a self - evident truth , not only too sim ple to require , but too simple to admit of , demonstration . 56. A Proposition is something which is either pro- posed to be done , or to be ...
Σελίδα 45
... altitude ; or by one half of the product of its base by its altitude . " D E A Let ABC represent any triangle , AB its base , and AD , at right angles to AB , its altitude ; now we are to show that the area of ABC is equal to the ...
... altitude ; or by one half of the product of its base by its altitude . " D E A Let ABC represent any triangle , AB its base , and AD , at right angles to AB , its altitude ; now we are to show that the area of ABC is equal to the ...
Σελίδα 51
... altitudes ; and it is evident that , as they have the same altitude , these areas will vary directly as their bases AN and NC ; hence the squares on AB and BC , which are equivalent to those rectangles , vary as the lines AN and NC ...
... altitudes ; and it is evident that , as they have the same altitude , these areas will vary directly as their bases AN and NC ; hence the squares on AB and BC , which are equivalent to those rectangles , vary as the lines AN and NC ...
Σελίδα 71
... altitudes or perpendiculars of the parallelograms . This proportion is true , if the product of the extremes H is ... altitudes are to each other as their bases . Since parallelograms having equal bases and equal altitudes are equal in ...
... altitudes or perpendiculars of the parallelograms . This proportion is true , if the product of the extremes H is ... altitudes are to each other as their bases . Since parallelograms having equal bases and equal altitudes are equal in ...
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.