Elements of Geometry and Trigonometry: With NotesOliver & Boyd, 1822 - 367 sider |
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Side ix
... common systems of Arithmetic , and even of Algebra , pass over the sub- ject in silence , or allude to it so slightly as to afford no adequate information . For the sake of the British student , therefore , it will be requisite to ...
... common systems of Arithmetic , and even of Algebra , pass over the sub- ject in silence , or allude to it so slightly as to afford no adequate information . For the sake of the British student , therefore , it will be requisite to ...
Side x
... common measure of A and B ; the mode of doing which is explained at large in Problem 17 , Book II . of these Ele- ments . Suppose this common measure to be E , and that A = mE , B = nE : the numbers required will be n and m . = For , by ...
... common measure of A and B ; the mode of doing which is explained at large in Problem 17 , Book II . of these Ele- ments . Suppose this common measure to be E , and that A = mE , B = nE : the numbers required will be n and m . = For , by ...
Side xi
... common measure , this method will not serve . If , for example , the first term A were the side of a square , B the second term being its diagonal , and the third term C = A + B the sum or the dif- ference of the former two , there ...
... common measure , this method will not serve . If , for example , the first term A were the side of a square , B the second term being its diagonal , and the third term C = A + B the sum or the dif- ference of the former two , there ...
Side xiii
... common measure of A and B , if they have one : sup- pose it to be E ; and that A = m E , B = n E. Then we shall have n A = m B ; and therefore ( Def . 2. ) n C = m D. Equal quantities multiplied by equal quantities yield equal products ...
... common measure of A and B , if they have one : sup- pose it to be E ; and that A = m E , B = n E. Then we shall have n A = m B ; and therefore ( Def . 2. ) n C = m D. Equal quantities multiplied by equal quantities yield equal products ...
Side xiv
... common arithmetical Rule of Three , where three terms of a proportion being given , it is required to find the fourth . We have A : B :: C : x ; hence A = BC , hence x = BC which is the rule adverted to . The right arrangement of Α the ...
... common arithmetical Rule of Three , where three terms of a proportion being given , it is required to find the fourth . We have A : B :: C : x ; hence A = BC , hence x = BC which is the rule adverted to . The right arrangement of Α the ...
Andre utgaver - Vis alle
Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre Ingen forhåndsvisning tilgjengelig - 2017 |
ELEMENTS OF GEOMETRY & TRIGONO A. M. (Adrien Marie) 1752-183 Legendre Ingen forhåndsvisning tilgjengelig - 2016 |
ELEMENTS OF GEOMETRY & TRIGONO A. M. (Adrien Marie) 1752-183 Legendre Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
AC² adjacent adjacent angles altitude angle ACB angle BAC centre chord circ circle circular sector circumference circumscribed common cone consequently construction continued fraction convex surface cos² cosine cylinder demonstration determined diagonal diameter draw drawn equal angles equation equivalent faces figure formulas frustum greater homologous sides hypotenuse inclination inscribed intersection isosceles join less likewise manner measure multiplied number of sides opposite parallel parallelepipedon parallelogram perpendicular plane MN polyedron prism PROBLEM Prop PROPOSITION quadrilateral quantities radii radius ratio rectangle rectilineal triangle regular polygon right angles right-angled triangle SABC Scholium sector segment shew shewn side BC similar sin² sines solid angle sphere spherical polygon spherical triangle square straight line suppose tang tangent THEOREM third side three angles three plane angles triangle ABC triangular pyramids vertex vertices
Populære avsnitt
Side 152 - AMB be a section, made by a plane, in the sphere, whose centre is C. From the...
Side 24 - THEOREM. In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Side 22 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Side 62 - Similar triangles are to each other as the squares of their homologous sides.
Side 211 - If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular.
Side 187 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
Side 140 - AT into equal parts .Ax, xy, yz, &c., each less than Aa, and let k be one of those parts : through the points of division pass planes parallel to the plane of the bases : the corresponding sections formed by these planes in the two pyramids will be respectively equivalent, namely, DEF to def, GHI to ghi, &c.
Side 150 - The radius of a sphere is a straight line, drawn from the centre to any point...
Side 168 - THEOREM. The surface of a spherical triangle is measured by the excess of the sum of its three angles above two right angles, multiplied by the tri-rectangular triangle.
Side 135 - XII.) ; in like manner, the two solids AQ, AK, having the same base, AOLE, are to each other as their altitudes AD, A M.