Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes & Company, 1870 - 319 σελίδες |
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Αποτελέσματα 1 - 5 από τα 50.
Σελίδα 18
... radius as CB , suppose a semicircumference to be described . Then , the angle DCB will be measured by the arc BD , and the angle DCA by the arc AD . But the sum of the two arcs is equal to a semicir- cumference : hence , the sum of the ...
... radius as CB , suppose a semicircumference to be described . Then , the angle DCB will be measured by the arc BD , and the angle DCA by the arc AD . But the sum of the two arcs is equal to a semicir- cumference : hence , the sum of the ...
Σελίδα 38
... radius or semidiameter . Every line which , like AB , passes through the centre and terminates in the circumfe- rence , is called a diameter . 4. Any portion of the circumference , as EFG , is called an arc . 5. A straight line , as EG ...
... radius or semidiameter . Every line which , like AB , passes through the centre and terminates in the circumfe- rence , is called a diameter . 4. Any portion of the circumference , as EFG , is called an arc . 5. A straight line , as EG ...
Σελίδα 42
... radius CE is perpendicular to the chord AB ( Bk . I. Def . 20 ) . Secondly . Since the angle ACE is equal to BCE , the arc AE will be equal to the arc EB , for equal angles must have equal measures ( Bk . I. Def . 29 ) . Hence , the radius ...
... radius CE is perpendicular to the chord AB ( Bk . I. Def . 20 ) . Secondly . Since the angle ACE is equal to BCE , the arc AE will be equal to the arc EB , for equal angles must have equal measures ( Bk . I. Def . 29 ) . Hence , the radius ...
Σελίδα 44
... radius be drawn through the point of contact , the radius will be perpen dicular to the tangent . THEOREM VI . If the distance between the centres of two circles is equal to the sum of their radii , the two circles will touch each other ...
... radius be drawn through the point of contact , the radius will be perpen dicular to the tangent . THEOREM VI . If the distance between the centres of two circles is equal to the sum of their radii , the two circles will touch each other ...
Σελίδα 52
... radius of the circle . Let AEB be an arc of sixty degrees and AB its chord : then will AB be equal to the radius of the circle . For , draw the radii CB and CA. Then , since the angle ACB is at the centre , it will be measured by the ...
... radius of the circle . Let AEB be an arc of sixty degrees and AB its chord : then will AB be equal to the radius of the circle . For , draw the radii CB and CA. Then , since the angle ACB is at the centre , it will be measured by the ...
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 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 number of sides 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 29 - 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 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.