Elements of GeometryHarper & brothers, 1896 - 540 sider |
Inni boken
Resultat 1-5 av 79
Side iii
... pass the general outlines of the science to be studied , and leads at once to the actual study itself . The definitions are distributed through the book as they are needed , instead of being grouped in long lists many pages in advance ...
... pass the general outlines of the science to be studied , and leads at once to the actual study itself . The definitions are distributed through the book as they are needed , instead of being grouped in long lists many pages in advance ...
Side 4
... passing through them lies wholly in the surface . 9. Def . - Two straight lines are parallel which lie in the same plane and never meet , however far produced . GEOMETRIC AXIOMS 10. All the truths of geometry rest upon three funda ...
... passing through them lies wholly in the surface . 9. Def . - Two straight lines are parallel which lie in the same plane and never meet , however far produced . GEOMETRIC AXIOMS 10. All the truths of geometry rest upon three funda ...
Side 80
... passes through the centre of the circle . ID B GIVEN - circle OAB , chord AB , and CD , the perpendicular bisector of AB . TO PROVE that CD passes through the centre 0 . CD contains all points equally distant from A and B. § 103 [ Being ...
... passes through the centre of the circle . ID B GIVEN - circle OAB , chord AB , and CD , the perpendicular bisector of AB . TO PROVE that CD passes through the centre 0 . CD contains all points equally distant from A and B. § 103 [ Being ...
Side 86
... passes through the centre of the circle . Hint . - Suppose a radius to be drawn to the point of tangency . 175. CONSTRUCTION . At a point P in the circumference of a circle to draw a tangent to the circle . Draw the radius OP , and ...
... passes through the centre of the circle . Hint . - Suppose a radius to be drawn to the point of tangency . 175. CONSTRUCTION . At a point P in the circumference of a circle to draw a tangent to the circle . Draw the radius OP , and ...
Side 88
... passes over half the distance , in the next second half the remaining distance , in the third half the new remainder , and so on . The variable is the distance from A to the moving - point . Its successive values are AP ' , AP " , AP ...
... passes over half the distance , in the next second half the remaining distance , in the third half the new remainder , and so on . The variable is the distance from A to the moving - point . Its successive values are AP ' , AP " , AP ...
Innhold
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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.