Elements of Geometry and Trigonometry: With Practical ApplicationsR.S. Davis & Company, 1862 - 490 páginas |
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Página 22
... , from any point within a triangle , two straight lines are drawn to the extremities of either side , their sum will be less than that of the other two sides of the triangle . B A D C Let the two straight lines BO 22 ELEMENTS OF GEOMETRY .
... , from any point within a triangle , two straight lines are drawn to the extremities of either side , their sum will be less than that of the other two sides of the triangle . B A D C Let the two straight lines BO 22 ELEMENTS OF GEOMETRY .
Página 23
... extremities of the side BC ; then will the sum of the two lines BO and OC be less than the sum of the sides BA and A C. Let the straight line BO be pro- duced till it meets the side AC in the point D ; and be- cause one side of a ...
... extremities of the side BC ; then will the sum of the two lines BO and OC be less than the sum of the sides BA and A C. Let the straight line BO be pro- duced till it meets the side AC in the point D ; and be- cause one side of a ...
Página 26
... extremities of the line . 2d . Any point out of the perpendicular will be un- equally distant from those extremities . Let D C be drawn perpendicular to the straight line A B , from its middle point C. First . Let D and E be points ...
... extremities of the line . 2d . Any point out of the perpendicular will be un- equally distant from those extremities . Let D C be drawn perpendicular to the straight line A B , from its middle point C. First . Let D and E be points ...
Página 27
... extremity , F , must fall below the line E G. The two tri- angles , ABC and DEG , have the two sides AB , AC equal to the two sides DE , DG , each to each , and the included angle BAC of the one equal to the included angle EDG of the ...
... extremity , F , must fall below the line E G. The two tri- angles , ABC and DEG , have the two sides AB , AC equal to the two sides DE , DG , each to each , and the included angle BAC of the one equal to the included angle EDG of the ...
Página 55
... AD , AE , or EGF . 157. The CHORD of an arc is the straight line joining its extremities ; thus EF is the chord of the arc EGF . D A C E G B BE F 158. The SEGMENT of a circle is the part of BOOK III THE CIRCLE, AND THE MEASURE OF ANGLES.
... AD , AE , or EGF . 157. The CHORD of an arc is the straight line joining its extremities ; thus EF is the chord of the arc EGF . D A C E G B BE F 158. The SEGMENT of a circle is the part of BOOK III THE CIRCLE, AND THE MEASURE OF ANGLES.
Otras ediciones - Ver todas
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Vista completa - 1869 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Vista completa - 1867 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 77 - Two rectangles having equal altitudes are to each other as their bases.
Página 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.
Página 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Página 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.
Página 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'.
Página 244 - RULE. — Multiply the base by the altitude, and the product will be the area.