Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration : Accompanied with All the Necessary Logarithmic and Trigonometric TablesD. Appleton, 1860 - 443 σελίδες |
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Σελίδα v
... chords , secants , and tångents 40 42 Of the measure of angles Of inscribed and circumscribed polygons .. Of secant and tangent circles .... PROBLEMS . Of perpendiculars , angles , and parallels Construction of polygons .. Of contact ...
... chords , secants , and tångents 40 42 Of the measure of angles Of inscribed and circumscribed polygons .. Of secant and tangent circles .... PROBLEMS . Of perpendiculars , angles , and parallels Construction of polygons .. Of contact ...
Σελίδα 40
... chord . The chord is said to subtend the arc . Every chord corresponds always to two arcs , which together make up the entire circumference . It is the smaller arc which is referred to as the subtended arc , unless otherwise expressed ...
... chord . The chord is said to subtend the arc . Every chord corresponds always to two arcs , which together make up the entire circumference . It is the smaller arc which is referred to as the subtended arc , unless otherwise expressed ...
Σελίδα 41
... chord of said arc ; and by an angle at the centre , is meant one whose vertex is at the centre . In both cases the angles are said to be subtended by the chords or arcs which their sides include . VI . Any polygonal figure is said to be ...
... chord of said arc ; and by an angle at the centre , is meant one whose vertex is at the centre . In both cases the angles are said to be subtended by the chords or arcs which their sides include . VI . Any polygonal figure is said to be ...
Σελίδα 42
... CHORDS , SECANTS , AND TANGENTS . THEOREM I. Every diameter divides the circle and its circumference into two equal parts . Revolve the portion ACB about the diam- eter AB as a hinge , until it returns to its primitive plane , on the ...
... CHORDS , SECANTS , AND TANGENTS . THEOREM I. Every diameter divides the circle and its circumference into two equal parts . Revolve the portion ACB about the diam- eter AB as a hinge , until it returns to its primitive plane , on the ...
Σελίδα 43
... chord . The diameter AB is greater than any chord , as CD . For , drawing the radii EC and ED , we have EC + ED > CD ( B. I. , T. VII . ) . But the diameter AB = EC + ED ( D. II . ) ; hence , AB > CD . D B E THEOREM IV . The radius ...
... chord . The diameter AB is greater than any chord , as CD . For , drawing the radii EC and ED , we have EC + ED > CD ( B. I. , T. VII . ) . But the diameter AB = EC + ED ( D. II . ) ; hence , AB > CD . D B E THEOREM IV . The radius ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum given angle given line gives greater half hence hypotenuse inches included angle inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume
Δημοφιλή αποσπάσματα
Σελίδα 113 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 31 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 112 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Σελίδα 33 - 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 80 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 139 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 15 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Σελίδα 174 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 107 - ... similar figures are to each other as the squares of their homologous sides.
Σελίδα 180 - Every section of a sphere, made by a plane, is a circle.