Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 sider |
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Resultat 1-5 av 48
Side 62
... passes through the middle , D , of the chord , and the middle , E , of the arc subtended by the chord . Now , any ... pass through them , and but one . A E D B C Join AB and BC ; and bisect these straight lines by the perpendic- ulars ...
... passes through the middle , D , of the chord , and the middle , E , of the arc subtended by the chord . Now , any ... pass through them , and but one . A E D B C Join AB and BC ; and bisect these straight lines by the perpendic- ulars ...
Side 63
... passing through the three points A , B , C. Again , the centre , lying in the perpendicular DE bi- secting the chord AB ... pass through three given points . 181. Cor . Two circumferences can intersect in only two points ; for , if they ...
... passing through the three points A , B , C. Again , the centre , lying in the perpendicular DE bi- secting the chord AB ... pass through three given points . 181. Cor . Two circumferences can intersect in only two points ; for , if they ...
Side 67
... pass through the two centres C and D ( Prop . XI . ) ; but from the same point there can be but one perpendicular ; therefore the points C , D , and A are in that perpendicular ; hence they are in the same straight line . 190. Cor . 1 ...
... pass through the two centres C and D ( Prop . XI . ) ; but from the same point there can be but one perpendicular ; therefore the points C , D , and A are in that perpendicular ; hence they are in the same straight line . 190. Cor . 1 ...
Side 68
... passing through the A с C D -D B centres C and D will bisect at right angles the chord A B common to the two circles . For , if a perpendicular be erected at the middle of this chord , it will pass through each of the two centres C and ...
... passing through the A с C D -D B centres C and D will bisect at right angles the chord A B common to the two circles . For , if a perpendicular be erected at the middle of this chord , it will pass through each of the two centres C and ...
Side 119
... passing through the middle of A B ( Prop . XV . Cor . , Bk . I. ) . PROBLEM III . 296. At a given point in a straight line to erect a per- pendicular to that line . Let A B be the straight line , and let D be a given point in it . C A ...
... passing through the middle of A B ( Prop . XV . Cor . , Bk . I. ) . PROBLEM III . 296. At a given point in a straight line to erect a per- pendicular to that line . Let A B be the straight line , and let D be a given point in it . C A ...
Andre utgaver - Vis alle
Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1876 |
Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1861 |
Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 79 - Two rectangles having equal altitudes are to each other as their bases.
Side 251 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Side 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.
Side 35 - If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles.
Side 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.
Side 303 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Side 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.
Side 102 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing.