Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes, 1886 - 324 σελίδες |
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Αποτελέσματα 1 - 5 από τα 47.
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 T the circle . et 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 T the circle . et 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
altitude angles equal base multiplied bisect called centre chains chord circle whose diameter circular sector circumference column comp cone consequently convex surface Cosine Cosine D Cotang cubic cylinder decimal diagonal dicular distance divided draw drawn equal Bk equal to half equivalent EXAMPLES feet figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk S-ABCDE segment side AC similar similar triangles slant height sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards
Δημοφιλή αποσπάσματα
Σελίδα 44 - Let ABC be a triangle, of which the side AC is greater than the side AB; the angle ABC shall be greater than the angle BCA.
Σελίδα 11 - A circle (Fig. 38) is a figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within, called the center.
Σελίδα 12 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 130 - ... or cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Σελίδα 209 - 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 58 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.
Σελίδα 159 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Σελίδα 70 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Σελίδα 33 - 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.