Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes & Company, 1870 - 319 σελίδες |
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Αποτελέσματα 1 - 5 από τα 80.
Σελίδα 14
... base of a triangle is the side on which it stands . Thus , AB is the base of the triangle ACB . The altitude of a triangle is a line drawn from the angle opposite the base and per - Á pendicular to the base . Thus , CD is the altitude ...
... base of a triangle is the side on which it stands . Thus , AB is the base of the triangle ACB . The altitude of a triangle is a line drawn from the angle opposite the base and per - Á pendicular to the base . Thus , CD is the altitude ...
Σελίδα 16
... base of a figure is the side on which it is supposed to stand ; and the altitude is a line drawn from the opposite side or angle , perpendicular to the base . AXIOMS . 1. Things which are equal to the same thing are equal to each other ...
... base of a figure is the side on which it is supposed to stand ; and the altitude is a line drawn from the opposite side or angle , perpendicular to the base . AXIOMS . 1. Things which are equal to the same thing are equal to each other ...
Σελίδα 21
... base . It is also perpendicu lar to the base , since the angle CDA is equal to the angle CDB . Cor . 2. Hence , also , every equilateral triangle , must also be equiangular : that is , have all its angles equal , each to each . Of ...
... base . It is also perpendicu lar to the base , since the angle CDA is equal to the angle CDB . Cor . 2. Hence , also , every equilateral triangle , must also be equiangular : that is , have all its angles equal , each to each . Of ...
Σελίδα 53
... base are equal ( Bk . I. Th . vi ) : hence , each angle is equal to sixty degrees , and consequently , the side AB is equal to AC or CB ( Bk . I. Th vi ) . PROBLEMS RELATING TO THE FIRST AND SECOND BOOKS . THE Problems of Geometry ...
... base are equal ( Bk . I. Th . vi ) : hence , each angle is equal to sixty degrees , and consequently , the side AB is equal to AC or CB ( Bk . I. Th vi ) . PROBLEMS RELATING TO THE FIRST AND SECOND BOOKS . THE Problems of Geometry ...
Σελίδα 83
... bases and equal altitudes , are equivalent . Place the base of one parallel- E D B ogram on that of the other , so that AB shall be the common base of the two parallelograms ABCD and ABEF . Now , since the par- allelograms have the same ...
... bases and equal altitudes , are equivalent . Place the base of one parallel- E D B ogram on that of the other , so that AB shall be the common base of the two parallelograms ABCD and ABEF . Now , since the par- allelograms have the same ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles allel alternate angles altitude angle ACB angles equal base multiplied bisect called centre chains chord circle whose diameter circumference cone consequently convex surface Cosine Cosine D Cotang cubic cylinder cylindrical ring decimal diagonal dicular distance divided draw drawn equal Bk equal Th equal to half equivalent feet figure find the area frustum half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersect Let ABC logarithm lower base M.
M. Sine measured by half Mensuration of Surfaces opposite angles outward angle parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane prism PROBLEM proportion quadrilateral radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Th segment side AC similar similar triangles slant height solidity sphere straight line suppose Tang tangent THEOREM triangle ABC yards
Δημοφιλή αποσπάσματα
Σελίδα 48 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 12 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Σελίδα 25 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 85 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Σελίδα 198 - To find the area of a trapezoid. RULE. Multiply the sum of the parallel sides by the perpendicular distance between them, and then divide the product by two : the quotient will be the area (Bk.
Σελίδα 35 - In the lower numbers the maps avoid unnecessary detail, while respectively progressive, and affording the pupil new matter for acquisition each time he approaches in the constantly enlarging circle the point of coincidence with previous lessons in the more elementary books.
Σελίδα 159 - In every plane triangle there are six parts : three sides and three angles. These parts are so related to each other, that when one side and any two other parts are given, the remaining ones can be obtained, either by geometrical construction or by trigonometrical computation.
Σελίδα 187 - Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower Cway 33° 45' ; required the height of the tower.
Σελίδα 79 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Σελίδα 119 - If a cone be cut by a plane parallel to the base, the section will be a circle.