The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 sider |
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Side iii
... quote the proper reference , and to show its application . The text is so arranged that the enunciation , figure , and proof of each proposition iii are in view together ; and notes are directly appended Prof. W. W. Biman.
... quote the proper reference , and to show its application . The text is so arranged that the enunciation , figure , and proof of each proposition iii are in view together ; and notes are directly appended Prof. W. W. Biman.
Side iv
... figures the given lines are represented by full lines , those which are added to aid in the demonstration , by short - dotted lines , and the resulting lines by dashed , or long - dotted lines . In solid geometry the dotted lines ...
... figures the given lines are represented by full lines , those which are added to aid in the demonstration , by short - dotted lines , and the resulting lines by dashed , or long - dotted lines . In solid geometry the dotted lines ...
Side v
... FIGURES . Perpendicular and Oblique Lines .. 14 Parallel Lines .. Triangles ..... 23 33 Quadrilaterals .. Polygons .. 46 52 Miscellaneous Theorems . Symmetry .... 56 64 Exercises .. 67 BOOK II . THE CIRCLE . Definitions ... Arcs and ...
... FIGURES . Perpendicular and Oblique Lines .. 14 Parallel Lines .. Triangles ..... 23 33 Quadrilaterals .. Polygons .. 46 52 Miscellaneous Theorems . Symmetry .... 56 64 Exercises .. 67 BOOK II . THE CIRCLE . Definitions ... Arcs and ...
Side vi
Edward Albert Bowser. BOOK III . RATIO AND PROPORTION : SIMILAR FIGURES . PAGE Ratio and Proportion 134 Proportional Lines . . 143 Similar Figures 149 Similar Triangles 150 Similar Polygons .. 155 Numerical Relations between the ...
Edward Albert Bowser. BOOK III . RATIO AND PROPORTION : SIMILAR FIGURES . PAGE Ratio and Proportion 134 Proportional Lines . . 143 Similar Figures 149 Similar Triangles 150 Similar Polygons .. 155 Numerical Relations between the ...
Side vii
... Figures .. 354 Exercises . Theorems ... 360 Numerical Exercises .. 361 Problems .. 363 BOOK IX . THE THREE ROUND BODIES . The Cylinder ... 366 The Cone .... 371 The Sphere . 378 Exercises . Theorems .... 386 Numerical Exercises . 388 ...
... Figures .. 354 Exercises . Theorems ... 360 Numerical Exercises .. 361 Problems .. 363 BOOK IX . THE THREE ROUND BODIES . The Cylinder ... 366 The Cone .... 371 The Sphere . 378 Exercises . Theorems .... 386 Numerical Exercises . 388 ...
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Andre utgaver - Vis alle
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Ingen forhåndsvisning tilgjengelig - 2016 |
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 prove Proof pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Populære avsnitt
Side 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Side 188 - Two triangles having 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.
Side 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Side 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Side 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Side 57 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Side 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.
Side 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.