Elements of Geometry and Trigonometry: With NotesOliver & Boyd, 1822 - 367 sider |
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Side v
... substituted in place of the former demonstration , and forms Prop . XVII . and XVIII . of Book VI . * M. Queret has been anticipated in this demonstration by the late Professor Playfair . II . A reply to the objections of Mr Leslie.
... substituted in place of the former demonstration , and forms Prop . XVII . and XVIII . of Book VI . * M. Queret has been anticipated in this demonstration by the late Professor Playfair . II . A reply to the objections of Mr Leslie.
Side vii
... Prop . 20 , Book I. and of some other fundamental Propositions in Geometry222 Addition to Note II . containing M. Legendre's Reply to Mr Leslie's Objections to his Theory of Parallel Lines , with Baron Maurice's Defence of the Theory ...
... Prop . 20 , Book I. and of some other fundamental Propositions in Geometry222 Addition to Note II . containing M. Legendre's Reply to Mr Leslie's Objections to his Theory of Parallel Lines , with Baron Maurice's Defence of the Theory ...
Side 2
... Prop . 4. ) is the sum of the two angles , DCB , BCE ; and the angle DCB is the difference of the two angles DCE , BCE . X. When a straight line AB meets ano- ther straight line CD , so as to make the adja- cent angles BAC , BAD equal ...
... Prop . 4. ) is the sum of the two angles , DCB , BCE ; and the angle DCB is the difference of the two angles DCE , BCE . X. When a straight line AB meets ano- ther straight line CD , so as to make the adja- cent angles BAC , BAD equal ...
Side 3
... Prop . 28. I. ) The rectangle , which has its angles right , with- out having its sides equal . ( See the same Prop . ) The parallelogram , or rhomboid , which has its opposite sides parallel . The lozenge , or rhombus , which has its ...
... Prop . 28. I. ) The rectangle , which has its angles right , with- out having its sides equal . ( See the same Prop . ) The parallelogram , or rhomboid , which has its opposite sides parallel . The lozenge , or rhombus , which has its ...
Side 7
... ( Prop . 2. cor . 1. ) ; and since ACE is a straight line , the angle FCE will likewise be right . But the part FCE cannot be equal to the whole FCD ; hence the straight lines which have two points A and B common , cannot separate in any ...
... ( Prop . 2. cor . 1. ) ; and since ACE is a straight line , the angle FCE will likewise be right . But the part FCE cannot be equal to the whole FCD ; hence the straight lines which have two points A and B common , cannot separate in any ...
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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.