Elements of GeometryAmerican Book Company, 1896 - 540 σελίδες |
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Αποτελέσματα 1 - 5 από τα 47.
Σελίδα iii
... half - tone engravings from the photographs 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 . Nov. 11/01 1.75 Extensive ...
... half - tone engravings from the photographs 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 . Nov. 11/01 1.75 Extensive ...
Σελίδα 22
... half way round on this point as a pivot , it will coincide with the other . A single figure is said to be symmetrical with respect to a point called the centre of symmetry if , when the figure is turned half way round on this point as a ...
... half way round on this point as a pivot , it will coincide with the other . A single figure is said to be symmetrical with respect to a point called the centre of symmetry if , when the figure is turned half way round on this point as a ...
Σελίδα 23
... half way round to the symmetrical position PM'X'N'Q , so that P and Q exchange places . The angle a is the supplement of b . Hyp . Hence , when a takes the position a ' , PM ' must be the prolongation of PN . $ 29 [ If two adjacent ...
... half way round to the symmetrical position PM'X'N'Q , so that P and Q exchange places . The angle a is the supplement of b . Hyp . Hence , when a takes the position a ' , PM ' must be the prolongation of PN . $ 29 [ If two adjacent ...
Σελίδα 63
... is a centre of symmetry- that is , that if the figure be turned half way round about O as a pivot ( so that OA falls along OC ) , it will coincide with itself . PROPOSITION XXXVIII . THEOREM 126. A quadrilateral which has two BOOK I 63.
... is a centre of symmetry- that is , that if the figure be turned half way round about O as a pivot ( so that OA falls along OC ) , it will coincide with itself . PROPOSITION XXXVIII . THEOREM 126. A quadrilateral which has two BOOK I 63.
Σελίδα 67
... half the third side . B C X Hint . - Prove DE = BX , and DE = XC . 132. Defs . A trapezoid is a quadrilateral , two of whose sides are parallel . The parallel sides are called the bases . 133. Exercise . — A straight line parallel to ...
... half the third side . B C X Hint . - Prove DE = BX , and DE = XC . 132. Defs . A trapezoid is a quadrilateral , two of whose sides are parallel . The parallel sides are called the bases . 133. Exercise . — A straight line parallel to ...
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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.