Elements of GeometryAmerican Book Company, 1896 - 540 sider |
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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 2
... 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 . A B GIVEN - circle OAB , chord AB , and CD , the perpendicular bisector of AB . TO PROVE that CD passes through the centre O. CD contains all points equally distant from A and B. § 103 [ Being ...
... passes through the centre of the circle . A B GIVEN - circle OAB , chord AB , and CD , the perpendicular bisector of AB . TO PROVE that CD passes through the centre O. 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 ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 466 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Side 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.
Side 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.
Side 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.
Side 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...
Side 138 - ... twice the product of one of these sides and the projection of the other side upon it.
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 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.
Side 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.