Elements of GeometryHarper & brothers, 1896 - 540 sider |
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Side iii
... of actual models recently constructed for use in the class - rooms of Yale University . By the side of these models are skeleton diagrams for the student to copy . Extensive use has been made of natural and symmetrical methods.
... of actual models recently constructed for use in the class - rooms of Yale University . By the side of these models are skeleton diagrams for the student to copy . Extensive use has been made of natural and symmetrical methods.
Side iv
Andrew Wheeler Phillips, Irving Fisher. Extensive use has been made of natural and symmetrical methods of demonstration . Such methods are used for de- ducing the formula for the sum of the angles of a triangle , for the sum of the ...
Andrew Wheeler Phillips, Irving Fisher. Extensive use has been made of natural and symmetrical methods of demonstration . Such methods are used for de- ducing the formula for the sum of the angles of a triangle , for the sum of the ...
Side v
... SYMMETRICAL FIGURES TRIANGLES . 32 PARALLELOGRAMS PROBLEMS 66 04388 6 15 60 BOOK II THE CIRCLE MEASUREMENT LIMITS 73 87 88 PROBLEMS OF DEMONSTRATION 106 PROBLEMS OF CONSTRUCTION . 108 BOOK III PROPORTION AND SIMILAR FIGURES IIO ...
... SYMMETRICAL FIGURES TRIANGLES . 32 PARALLELOGRAMS PROBLEMS 66 04388 6 15 60 BOOK II THE CIRCLE MEASUREMENT LIMITS 73 87 88 PROBLEMS OF DEMONSTRATION 106 PROBLEMS OF CONSTRUCTION . 108 BOOK III PROPORTION AND SIMILAR FIGURES IIO ...
Side vi
... 360 THE SPHERE SPHERICAL ANGLES SPHERICAL POLYGONS 366 378 380 SYMMETRICAL SPHERICAL TRIANGLES AND POLYGONS 382 POLAR TRIANGLES 390 MEASUREMENT OF SPHERICAL FIGURES PROBLEMS OF DEMONSTRATION • LOCI PROBLEMS vi TABLE OF CONTENTS.
... 360 THE SPHERE SPHERICAL ANGLES SPHERICAL POLYGONS 366 378 380 SYMMETRICAL SPHERICAL TRIANGLES AND POLYGONS 382 POLAR TRIANGLES 390 MEASUREMENT OF SPHERICAL FIGURES PROBLEMS OF DEMONSTRATION • LOCI PROBLEMS vi TABLE OF CONTENTS.
Side 15
... SYMMETRICAL FIGURES 31. Def . - Two straight lines are parallel which lie in the same plane , but never meet , however far produced . PARALLEL LINES 32. Def ... symmetrical with respect BOOK I 15 PARALLEL LINES AND SYMMETRICAL FIGURES.
... SYMMETRICAL FIGURES 31. Def . - Two straight lines are parallel which lie in the same plane , but never meet , however far produced . PARALLEL LINES 32. Def ... symmetrical with respect BOOK I 15 PARALLEL LINES AND SYMMETRICAL FIGURES.
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Vanlige uttrykk og setninger
ABCD allel altitude angles are equal apothem base and altitude bisecting bisector centre chord circumference circumscribed coincide cone conical surface construct cylinder Def.-The Defs.-A diagonals diameter diedral angles distance divided draw drawn equilateral triangle equivalent Exercise.-The face angles figure Find the area frustum given line given point given straight line GIVEN TO PROVE given triangle Hence homologous homologous sides hypotenuse intersection lateral area lateral edges lateral faces locus measured by arc middle points number of sides parallel planes parallelogram parallelopiped pass a plane perimeter PLANE GEOMETRY plane MN polyedral angle polyedron prismatic surface Q. E. D. PROPOSITION quadrilateral radii radius ratio of similitude rectangle regular polygon right angles right triangle segment similar slant height sphere spherical polygon square surface symmetrical tangent tetraedron THEOREM triangle ABC triangles are equal triangular prism triedral vertex vertices volume
Populære avsnitt
Side 180 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Side 5 - If of three quantities the first is greater than the second and the second greater than the third, then the first is greater than the third.
Side 434 - The area of a zone is equal to the product of its altitude by the circumference of a great circle.
Side 393 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Side 185 - To construct a square equivalent to the sum of any number of given squares.
Side 390 - 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...
Side 67 - 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 70 - The three medians of any triangle intersect in a common point which is two-thirds of the distance from each vertex to the middle of the opposite side.
Side 476 - The area of any regular polygon inscribed in a circle is a mean proportional between the areas of the inscribed and circumscribed polygons of half the number of sides.
Side 71 - The perpendiculars from the vertices of a triangle to the opposite sides meet in a point.