Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
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Αποτελέσματα 6 - 10 από τα 43.
Σελίδα 63
... bisect each other . B C A E Let the figure ABCE be a parallelogram , and let the diagonals AC and BE cut each other at 0 . We are to prove AO OC , and BO = 0 E. = In the AA OE and BOC AE = BC , ( being opposite sides of a ) , ZOAE ...
... bisect each other . B C A E Let the figure ABCE be a parallelogram , and let the diagonals AC and BE cut each other at 0 . We are to prove AO OC , and BO = 0 E. = In the AA OE and BOC AE = BC , ( being opposite sides of a ) , ZOAE ...
Σελίδα 64
... bisect each other at right angles . A E B Let the figure A B C E be a rhombus , having the diagonals AC and BE bisecting each other at 0 . We are to prove LAOE and △ A O B rt . s . In the AO E and A O B , AE = A B , § 128 ( being sides ...
... bisect each other at right angles . A E B Let the figure A B C E be a rhombus , having the diagonals AC and BE bisecting each other at 0 . We are to prove LAOE and △ A O B rt . s . In the AO E and A O B , AE = A B , § 128 ( being sides ...
Σελίδα 72
... bisect one of the sides , show that it bisects the other also ; and that the portion of it intercepted between the two sides is equal to one half the base . 10. ABCD is a parallelogram , E and F the middle points of AD and BC ...
... bisect one of the sides , show that it bisects the other also ; and that the portion of it intercepted between the two sides is equal to one half the base . 10. ABCD is a parallelogram , E and F the middle points of AD and BC ...
Σελίδα 75
... bisects the circle and its circumference . For if we fold over the segment A M B on A B as an axis until it comes into the plane of APB , the arc AMB will coincide with the arc A PB ; because every point in each is equally dis- tant ...
... bisects the circle and its circumference . For if we fold over the segment A M B on A B as an axis until it comes into the plane of APB , the arc AMB will coincide with the arc A PB ; because every point in each is equally dis- tant ...
Σελίδα 81
... bisects the chord and the arc subtended by it . A B M S Let A B be the chord , and let the radius CS be per ... bisects the base A B and the ≤ C , $ 84 § 113 ( the drawn from the vertex to the base of an isosceles △ bisects the base ...
... bisects the chord and the arc subtended by it . A B M S Let A B be the chord , and let the radius CS be per ... bisects the base A B and the ≤ C , $ 84 § 113 ( the drawn from the vertex to the base of an isosceles △ bisects the base ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD altitude arc A B axis base and altitude centre circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal arcs equal respectively equally distant equiangular polygon equilateral equivalent frustum given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B line A B measured by arc middle point mutually equiangular number of sides parallelogram parallelopiped perimeter perpendicular plane MN prism prove pyramid Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rectangles regular polygon right angles right triangle SCHOLIUM segment sides of equal similar polygons slant height sphere spherical angle spherical polygon spherical triangle square straight line drawn subtend surface symmetrical tangent tetrahedron THEOREM third side trihedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 38 - Any side of a triangle is less than the sum of the other two sides.
Σελίδα 349 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 83 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.
Σελίδα 207 - To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line.
Σελίδα 188 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 146 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 134 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent. Let a: b = c: d — e :/= g: h.