The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 Seiten |
Im Buch
Ergebnisse 1-5 von 86
Seite i
Edward Albert Bowser. OF PLANE AND SOLID GEOMETRY . WITH NUMEROUS EXERCISES . BY EDWARD A. BOWSER , LL.D. , PROFESSOR OF MATHEMATICS AND ENGINEERING IN RUTGERS COLLEGE . NEW YORK : D. VAN NOSTRAND COMPANY , PUBLISHERS , 23 MURRAY AND 27 ...
Edward Albert Bowser. OF PLANE AND SOLID GEOMETRY . WITH NUMEROUS EXERCISES . BY EDWARD A. BOWSER , LL.D. , PROFESSOR OF MATHEMATICS AND ENGINEERING IN RUTGERS COLLEGE . NEW YORK : D. VAN NOSTRAND COMPANY , PUBLISHERS , 23 MURRAY AND 27 ...
Seite v
... Exercises .. 67 BOOK II . THE CIRCLE . Definitions ... Arcs and Chords .. Relative Position of Two Circles .. Measurement of Angles ..... Quadrilaterals . Problems of Construction .. Exercises , Theorems .. Loci ... Problems .. 74 78 88 ...
... Exercises .. 67 BOOK II . THE CIRCLE . Definitions ... Arcs and Chords .. Relative Position of Two Circles .. Measurement of Angles ..... Quadrilaterals . Problems of Construction .. Exercises , Theorems .. Loci ... Problems .. 74 78 88 ...
Seite vi
... Exercises . Theorems .. Problems .. 180 .. 187 191 200 201 206 BOOK V. REGULAR POLYGONS . THE CIRCLE . MAXIMA AND ... Exercises . Theorems .. Numerical Exercises Problems ... Exercises in Maxima and Minima 208 215 216 224 229 231 234 243 ...
... Exercises . Theorems .. Problems .. 180 .. 187 191 200 201 206 BOOK V. REGULAR POLYGONS . THE CIRCLE . MAXIMA AND ... Exercises . Theorems .. Numerical Exercises Problems ... Exercises in Maxima and Minima 208 215 216 224 229 231 234 243 ...
Seite vii
... Exercises . Theorems .... Numerical Exercises 319 325 327 329 Problems .. 333 BOOK VIII . THE SPHERE . Circles of the Sphere and Tangent Plancs .. 334 Spherical Triangles and Polygons ... 342 Relation of a Spherical Polygon to a ...
... Exercises . Theorems .... Numerical Exercises 319 325 327 329 Problems .. 333 BOOK VIII . THE SPHERE . Circles of the Sphere and Tangent Plancs .. 334 Spherical Triangles and Polygons ... 342 Relation of a Spherical Polygon to a ...
Seite 16
... EXERCISES . 1. Find the number of degrees in an angle if it is three times its complement . 2. Find the number of degrees in an angle if its com- plement and supplement are together equal to 110 ° . Proposition 4. Theorem . 55. If two ...
... EXERCISES . 1. Find the number of degrees in an angle if it is three times its complement . 2. Find the number of degrees in an angle if its com- plement and supplement are together equal to 110 ° . Proposition 4. Theorem . 55. If two ...
Inhalt
1 | |
8 | |
14 | |
23 | |
33 | |
46 | |
52 | |
64 | |
74 | |
88 | |
102 | |
123 | |
134 | |
143 | |
149 | |
155 | |
168 | |
175 | |
187 | |
200 | |
208 | |
282 | |
302 | |
316 | |
325 | |
334 | |
342 | |
349 | |
360 | |
366 | |
378 | |
386 | |
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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'.
Seite 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.