The Elements of Plane and Solid GeometryLongmans, Green, and Company, 1872 - 285 sider |
Inni boken
Resultat 1-5 av 33
Side x
... parallelogram by means of this Proposition 26 , he is obliged to recur to Proposition 4 , with its long and cumbrous enunciation , to arrive at the equality of the areas of the two triangles into which the diameter divides the parallelogram ...
... parallelogram by means of this Proposition 26 , he is obliged to recur to Proposition 4 , with its long and cumbrous enunciation , to arrive at the equality of the areas of the two triangles into which the diameter divides the parallelogram ...
Side 48
... parallelogram is a four - sided figure in which the opposite sides are parallel ( a ) . b 31. A rectangle is a parallelogram in which one of the angles is a right angle ( ¿ ) . 32. - A square is a rectangle in which all the sides are ...
... parallelogram is a four - sided figure in which the opposite sides are parallel ( a ) . b 31. A rectangle is a parallelogram in which one of the angles is a right angle ( ¿ ) . 32. - A square is a rectangle in which all the sides are ...
Side 49
Henry William Watson. PROPOSITION 25 . In every parallelogram the opposite sides and angles are equal to one another respectively , and the diagonals bisect each other . Fig . 52 . Let ABCD be a parallelogram , of which AC and BD are the ...
Henry William Watson. PROPOSITION 25 . In every parallelogram the opposite sides and angles are equal to one another respectively , and the diagonals bisect each other . Fig . 52 . Let ABCD be a parallelogram , of which AC and BD are the ...
Side 50
... parallelogram whose diagonals are equal is a rectangle , every parallelogram whose diagonals are perpen- dicular to each other is a rhombus , and one whose diagonals are both equal and perpendicular to each other is a square . 9. ABCD ...
... parallelogram whose diagonals are equal is a rectangle , every parallelogram whose diagonals are perpen- dicular to each other is a rhombus , and one whose diagonals are both equal and perpendicular to each other is a square . 9. ABCD ...
Side 51
... parallelogram . SECTION V. - ON LOCI . Note . We have seen ( Prop . 15 , Cor . ) that every point in the straight line which bisects at right angles the straight line joining two given points is equidistant from these points . We may ...
... parallelogram . SECTION V. - ON LOCI . Note . We have seen ( Prop . 15 , Cor . ) that every point in the straight line which bisects at right angles the straight line joining two given points is equidistant from these points . We may ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
ABC and DEF ABCD AC is equal adjacent angles angle ABC angle BAC antecedent area of AC bisects the angle centre chords circumference coincide common measure containing Corollary 2.-If DEFINITION diameter dicular dihedral angle distance divided equal angles equal in area equal to AB equal to AC exterior angle finite straight line given angle given circle given plane given point given ratio given straight line greater homologous incommensurable inscribed length less Let ABC line joining locus middle point multiple number of sides numerator and denominator opposite sides parallelogram pentagon perpen perpendicular plane AC point F produced Prop PROPOSITION PROPOSITION 14 proved radius ratio be equal rectangle regular polygon respectively equal right angles segments Similarly situated square straight line AB straight line BC subtended tangent triangle ABC triangle DEF
Populære avsnitt
Side 101 - Through a given point to draw a straight line parallel to a given straight line. Let A be the given point, and BC the given straight line, it is required to draw a straight line through the point A, parallel to the line BC.
Side 285 - Price 31. 6d. On the STRENGTH of MATERIALS and STRUCTURES : the Strength of Materials as depending on their quality and as ascertained by Testing Apparatus ; the Strength of Structures, as depending on their form and arrangement, and on the materials of which they are composed. By Sir J.
Side 126 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 285 - Fcp. 8vo. , 41. 6d. INTRODUCTION TO THE STUDY OF INORGANIC CHEMISTRY. By WILLIAM ALLEN MILLER, MD, LL.D., FRS With 72 Illustrations.
Side 19 - If two triangles have two sides of the one equal to two sides of the other, each to each, and" have likewise their bases equal ; the angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them, of the other.
Side 222 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Side 188 - If the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base ; the segments of the base shall have the same ratio which the other sides of the triangle have to one another...
Side 285 - THEORY OF HEAT. By J. CLERK MAXWELL. MA, LL.D., Edin., FRSS., L. & E. With 38 Illustrations. Fcp. 8vo. , 41. 6d. PRACTICAL PHYSICS. By RT GLAZEBROOK. MA, FRS, and W. N. SHAW, MA * With 134 Illustrations. Fcp. 8vo. , 71. 6d. PRELIMINARY SURVEY AND ESTIMATES. By THEODORE GRAHAM GRIBBLE, Civil Engineer.
Side 204 - 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Side 30 - Any two angles of a triangle are together less than two right angles.