Elements of Geometry and Trigonometry: With Practical Applications |
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Page 4
... edge his great obligations to H. B. Maglathlin , A. M. , who for many months has been associated with him in his labors , and to whose experience as a teacher , skill as a mathematician , and ability as a writer , the value of this ...
... edge his great obligations to H. B. Maglathlin , A. M. , who for many months has been associated with him in his labors , and to whose experience as a teacher , skill as a mathematician , and ability as a writer , the value of this ...
Page 165
... from any A point in the line of intersection , perpendicular to that line , one being drawn in each plane . B M N The line of common section is called the edge , SOLID GEOMETRY BOOK VII PLANES DIEDRAL AND POLYEDRAL ANGLES.
... from any A point in the line of intersection , perpendicular to that line , one being drawn in each plane . B M N The line of common section is called the edge , SOLID GEOMETRY BOOK VII PLANES DIEDRAL AND POLYEDRAL ANGLES.
Page 166
... edge of the polyedral angle . Thus the three plane angles ASB , BSC , CSA form a polyedral angle , whose vertex is S , whose faces are the plane angles , and whose edges are the sides , AS , BS , CS , of the same angles . 394. A ...
... edge of the polyedral angle . Thus the three plane angles ASB , BSC , CSA form a polyedral angle , whose vertex is S , whose faces are the plane angles , and whose edges are the sides , AS , BS , CS , of the same angles . 394. A ...
Page 184
... 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 equal and parallel polygons are called the bases of the prism , and 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 equal and parallel polygons are called the bases of the prism , and the ...
Page 185
With Practical Applications Benjamin Greenleaf. edges is then equal to the altitude of the prism . Every other prism is oblique , and has each edge greater than the altitude . 439. A prism is triangular , quadrangular , pentangular ...
With Practical Applications Benjamin Greenleaf. edges is then equal to the altitude of the prism . Every other prism is oblique , and has each edge greater than the altitude . 439. A prism is triangular , quadrangular , pentangular ...
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Common terms and phrases
A B C ABCD adjacent angles altitude 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 less Let ABC line A B logarithm logarithmic sine mean proportional 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 right angles right-angled triangle rods Scholium secant segment side A B similar sine slant height solidity solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Popular passages
Page 35 - 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.
Page 57 - 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.
Page 117 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Page 50 - If any number of magnitudes 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; then will A : B : : A + C + E : B + D + F.
Page 77 - Two rectangles having equal altitudes are to each other as their bases.
Page 158 - 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.
Page 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Page 314 - 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.
Page 100 - 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'.
Page 244 - RULE. — Multiply the base by the altitude, and the product will be the area.