Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 8
... face , nor made up of plane surfaces . 12. A SOLID , or VOLUME , is that which has length , breadth , and thickness . ANGLES AND LINES . 13. A PLANE ANGLE , or simply an ANGLE , is the difference in the direc- C tion of two lines ...
... face , nor made up of plane surfaces . 12. A SOLID , or VOLUME , is that which has length , breadth , and thickness . ANGLES AND LINES . 13. A PLANE ANGLE , or simply an ANGLE , is the difference in the direc- C tion of two lines ...
Página 156
... face . 372. Cor . Since the circle is obviously greater than any inscribed polygon , and less than any circumscribed one , it follows that a polygon may be inscribed or circumscribed , which will differ from the circle by less than any ...
... face . 372. Cor . Since the circle is obviously greater than any inscribed polygon , and less than any circumscribed one , it follows that a polygon may be inscribed or circumscribed , which will differ from the circle by less than any ...
Página 166
... faces , of the diedral angle . Thus the two planes A B M , A ABN , whose line of intersec- tion is A B , form a diedral M N angle , of which the line AB B is the edge , and the planes ABM , ABN are the faces . 392. A diedral angle may ...
... faces , of the diedral angle . Thus the two planes A B M , A ABN , whose line of intersec- tion is A B , form a diedral M N angle , of which the line AB B is the edge , and the planes ABM , ABN are the faces . 392. A diedral angle may ...
Página 181
... faces would , on being produced , cut the polyedral angle ; if it were otherwise , the sum of the plane angles would no longer be limited , and might be of any magnitude . PROPOSITION XXI . - THEOREM . 431. If two triedral 16 BOOK VII .
... faces would , on being produced , cut the polyedral angle ; if it were otherwise , the sum of the plane angles would no longer be limited , and might be of any magnitude . PROPOSITION XXI . - THEOREM . 431. If two triedral 16 BOOK VII .
Página 184
... faces of the polye- dron ; and the lines of intersection of the faces are called the edges of the polyedron . 436. A PRISM is a polyedron having two of its faces equal and parallel pol- ygons , and the other faces parallelo- grams . The ...
... faces of the polye- dron ; and the lines of intersection of the faces are called the edges of the polyedron . 436. A PRISM is a polyedron having two of its faces equal and parallel pol- ygons , and the other faces parallelo- grams . The ...
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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.