Elements of Geometry and Trigonometry: With Practical ApplicationsR.S. Davis & Company, 1862 - 490 sider |
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Resultat 1-5 av 76
Side 55
... RADIUS of a circle is any straight line drawn from the centre to the circumference ; as the line CA , CD , or CB . 155. A DIAMETER of a circle is any straight line drawn through the centre , and terminating in both directions in the ...
... RADIUS of a circle is any straight line drawn from the centre to the circumference ; as the line CA , CD , or CB . 155. A DIAMETER of a circle is any straight line drawn through the centre , and terminating in both directions in the ...
Side 59
... radius AC on its equal EO , since the angles AC D , E O G are equal , the radius CD will fall on OG , and the point D on G. Therefore the arcs AD and EG coincide with each other ; hence they must be equal ( Art . 34 , Ax . 14 ) ...
... radius AC on its equal EO , since the angles AC D , E O G are equal , the radius CD will fall on OG , and the point D on G. Therefore the arcs AD and EG coincide with each other ; hence they must be equal ( Art . 34 , Ax . 14 ) ...
Side 61
... radius which is perpendicular to a chord bi- sects the chord , and also the arc subtended by the chord . Let the radius C E be perpendicu- lar to the chord AB ; then will CE bisect the chord at D , and the arc AB at E. E Draw the radii ...
... radius which is perpendicular to a chord bi- sects the chord , and also the arc subtended by the chord . Let the radius C E be perpendicu- lar to the chord AB ; then will CE bisect the chord at D , and the arc AB at E. E Draw the radii ...
Side 62
With Practical Applications Benjamin Greenleaf. ( Prop . V. ) ; hence the radius CE , which is perpendicular to the chord AB , bisects the arc A B subtended by the chord . 178. Cor . 1. Any straight line which joins the centre of the ...
With Practical Applications Benjamin Greenleaf. ( Prop . V. ) ; hence the radius CE , which is perpendicular to the chord AB , bisects the arc A B subtended by the chord . 178. Cor . 1. Any straight line which joins the centre of the ...
Side 64
... radius at its termination in the circumference , is a tangent to the circle . Let the straight line BD be per- pendicular to the radius CA at its B- termination A ; then will it be a tangent to the circle . Draw from the centre C to BD ...
... radius at its termination in the circumference , is a tangent to the circle . Let the straight line BD be per- pendicular to the radius CA at its B- termination A ; then will it be a tangent to the circle . Draw from the centre C to BD ...
Andre utgaver - Vis alle
Elements of Geometry and Trigonometry;: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1863 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1869 |
Elements of Geometry and Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 77 - Two rectangles having equal altitudes are to each other as their bases.
Side 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.
Side 313 - FRACTION is a negative number, and is one more tftan the number of ciphers between the decimal point and the first significant figure.
Side 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.
Side 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'.
Side 244 - RULE. — Multiply the base by the altitude, and the product will be the area.