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ABCD adjacent angle BAC applied base called centre chords circumference coincides construction containing Corollary corresponding curved definition denominator described diameter difference dihedral angle distance divided double draw drawn equal EXAMPLES extremities figure follows four given angle given circle given plane given point given ratio given straight line greater half homologous inscribed inter intersection join length less Let ABC line joining locus magnitudes meet middle point multiple opposite sides pair parallel parallelogram passing perpendicular plane polygon portion position possible PROBLEM produced Prop proportional PROPOSITION Prove radius ratio rectangle regular remaining respectively respectively equal right angles segments sides similar Similarly situated square Take taken tangent third touching triangle ABC triangle DEF
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'.