Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 8
... vertex , as C , but by three letters , particularly when two or more angles have the same vertex ; as the angle ACD or DCB , the letter at the vertex always occupying the mid- dle place . C The quantity of an angle does not depend upon ...
... vertex , as C , but by three letters , particularly when two or more angles have the same vertex ; as the angle ACD or DCB , the letter at the vertex always occupying the mid- dle place . C The quantity of an angle does not depend upon ...
Página 9
... vertex , as A ; and a common side , as A B. 15. A RIGHT ANGLE is one which is formed by a straight line and a perpendicular to it ; as the angle CAB . 16. An ACUTE ANGLE is one which is less than a right angle ; as the angle DEF ...
... vertex , as A ; and a common side , as A B. 15. A RIGHT ANGLE is one which is formed by a straight line and a perpendicular to it ; as the angle CAB . 16. An ACUTE ANGLE is one which is less than a right angle ; as the angle DEF ...
Página 12
... vertices of any two angles which are opposite to each other ; as the lines EC and EB in the polygon ABCDE . R U T S Y V W D E A B C 30. A BASE of a polygon is the side on which the poly- gon is supposed to stand . But in the case of the ...
... vertices of any two angles which are opposite to each other ; as the lines EC and EB in the polygon ABCDE . R U T S Y V W D E A B C 30. A BASE of a polygon is the side on which the poly- gon is supposed to stand . But in the case of the ...
Página 37
... Α D B C For , from any point P within the pol- ygon , draw the straight lines PA , PB , PC , PD , PE , to the vertices of all the angles , and the polygon will be divided into as many triangles as it has sides . BOOK I. 37.
... Α D B C For , from any point P within the pol- ygon , draw the straight lines PA , PB , PC , PD , PE , to the vertices of all the angles , and the polygon will be divided into as many triangles as it has sides . BOOK I. 37.
Página 38
... vertices are directed inward , as BP C , each of these angles must be considered greater than two right angles . But , in order to avoid ambiguity , we shall hereafter E D C Р B Α limit our reasoning to polygons with salient angles , or ...
... vertices are directed inward , as BP C , each of these angles must be considered greater than two right angles . But , in order to avoid ambiguity , we shall hereafter E D C Р B Α limit our reasoning to polygons with salient angles , or ...
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Términos y frases comunes
A B C ABCD adjacent angles altitude angle ACB angle equal base bisect centre chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed interior angles isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon Required the area right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Pasajes populares
Página 28 - 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.
Página 37 - 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.
Página 79 - Two rectangles having equal altitudes are to each other as their bases.
Página 251 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Página 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Página 35 - If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles.
Página 168 - 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.
Página 303 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Página 4 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art. 9) M=a*, then, raising both sides to the wth power, we have Mm = (a")m = a"" . Therefore, log (M m) = xm = (log M) X »»12.
Página 102 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing.