Elements of GeometryAmerican Book Company, 1896 - 540 σελίδες |
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Σελίδα vi
... CONE 360 THE SPHERE SPHERICAL ANGLES SPHERICAL POLYGONS 366 378 380 SYMMETRICAL SPHERICAL TRIANGLES AND POLYGONS POLAR TRIANGLES 382 390 MEASUREMENT OF SPHERICAL FIGURES PROBLEMS OF DEMONSTRATION LOCI PROBLEMS OF vi TABLE OF CONTENTS.
... CONE 360 THE SPHERE SPHERICAL ANGLES SPHERICAL POLYGONS 366 378 380 SYMMETRICAL SPHERICAL TRIANGLES AND POLYGONS POLAR TRIANGLES 382 390 MEASUREMENT OF SPHERICAL FIGURES PROBLEMS OF DEMONSTRATION LOCI PROBLEMS OF vi TABLE OF CONTENTS.
Σελίδα vii
... CONE , AND SPHERE . CYLINDER THE CONE THE SPHERE • PROBLEMS OF DEMONSTRATION PROBLEMS FOR COMPUTATION APPENDIX PAGE 398 408 410 411 411 THE 413 • 420 430 444 445 CURVED LINES 449 MAXIMA AND MINIMA OF PLANE FIGURES . 456 EXERCISES BOOK I ...
... CONE , AND SPHERE . CYLINDER THE CONE THE SPHERE • PROBLEMS OF DEMONSTRATION PROBLEMS FOR COMPUTATION APPENDIX PAGE 398 408 410 411 411 THE 413 • 420 430 444 445 CURVED LINES 449 MAXIMA AND MINIMA OF PLANE FIGURES . 456 EXERCISES BOOK I ...
Σελίδα 360
... CONE 785. Def . - A conical surface is a surface generated by a moving straight line which continually intersects a given fixed curve and constantly passes through a given fixed point . A O B G B Thus , if the straight line OB passes ...
... CONE 785. Def . - A conical surface is a surface generated by a moving straight line which continually intersects a given fixed curve and constantly passes through a given fixed point . A O B G B Thus , if the straight line OB passes ...
Σελίδα 362
... cone whose base is a circle is called a cir- cular cone . The straight line joining the vertex of a circu- lar cone to the centre of its base is the axis of the cone . PROPOSITION VI . THEOREM 791. Every section of a circular. TO PROVE ...
... cone whose base is a circle is called a cir- cular cone . The straight line joining the vertex of a circu- lar cone to the centre of its base is the axis of the cone . PROPOSITION VI . THEOREM 791. Every section of a circular. TO PROVE ...
Σελίδα 363
... cone made by a plane par- allel to its base is a circle , whose centre is the intersection of the axis with the plane parallel to the base . D B A S GIVEN the circular cone S - ABCD of which A'B'C'D ' is a section made by a plane ...
... cone made by a plane par- allel to its base is a circle , whose centre is the intersection of the axis with the plane parallel to the base . D B A S GIVEN the circular cone S - ABCD of which A'B'C'D ' is a section made by a plane ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles allel altitude angles are equal apothem axis bisecting bisector centre chord circumference circumscribed coincide construct Def.-The Defs Defs.-A diagonals diameter diedral angles distance divided draw equally distant equilateral triangle equivalent Exercise.-The face angles figure Find the area frustum geometry given circle given line given point given straight line GIVEN TO PROVE given triangle Hence hypotenuse lateral area lateral edges lateral faces locus meet middle points number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane geometry plane MN polyedral angle polyedron prism prismatic surface pyramid Q. E. D. PROPOSITION quadrilateral radical axis radii radius ratio of similitude rectangle regular polygon right angles right triangle segment similar slant height sphere spherical polygon spherical triangle square straight line joining surface symmetrical tangent tetraedron THEOREM triangle ABC triangles are equal triangular prism triedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 30 - If two triangles have two sides and the included angle of one, equal respectively to two sides and the included angle of the other, the triangles are equal. C...
Σελίδα 466 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Σελίδα 315 - The frustum of a triangular pyramid is equivalent to the sum of three pyramids whose common altitude is the altitude of the frustum and whose bases are the lower base, the upper base, and a mean proportional between the two bases of the frustum.
Σελίδα 205 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.
Σελίδα 36 - ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 379 - Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other...
Σελίδα 138 - ... twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 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.
Σελίδα 137 - If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Σελίδα 147 - The product of two sides of a triangle is equal to the product of the diameter of the circumscribed circle and the altitude upon the third side.