The Elements of Plane and Solid GeometryLongmans, Green, and Company, 1872 - 285 sider |
Inni boken
Resultat 1-5 av 41
Side 2
... called the parts of AD , and AD is called the sum of AB , BC , and CD . Def . 8. - A broken line is formed of two or more straight lines united at their extremities but not in the same straight line . B C D Thus AB , BC , and CD form ...
... called the parts of AD , and AD is called the sum of AB , BC , and CD . Def . 8. - A broken line is formed of two or more straight lines united at their extremities but not in the same straight line . B C D Thus AB , BC , and CD form ...
Side 3
... called the angle between the two straight lines . B Thus the smallest amount of turn- ing about A required to bring either of the straight lines AB or AC into co- incidence with the other , the revolv- ing line being always in the same ...
... called the angle between the two straight lines . B Thus the smallest amount of turn- ing about A required to bring either of the straight lines AB or AC into co- incidence with the other , the revolv- ing line being always in the same ...
Side 4
... called a right angle , and OC is said to be perpendicular or at right angles to AB . Def . 16. - A triangle is a closed figure contained by three finite straight lines , which are called its sides . Def . 17. - A triangle is called ...
... called a right angle , and OC is said to be perpendicular or at right angles to AB . Def . 16. - A triangle is a closed figure contained by three finite straight lines , which are called its sides . Def . 17. - A triangle is called ...
Side 5
... called an indirect proof , or a reductio ad absurdum . See for example Bk . I. Prop . 4 . The assumption , whether true or false , upon which any argument is based is called the hypothesis . SECTION II . - NOTES TO THE PRECEDING ...
... called an indirect proof , or a reductio ad absurdum . See for example Bk . I. Prop . 4 . The assumption , whether true or false , upon which any argument is based is called the hypothesis . SECTION II . - NOTES TO THE PRECEDING ...
Side 6
... called a surface or superficial space . This surface can have no thickness , for if it had a thick- ness ever so small points might be found in it belonging entirely to the wood or to the stone , and such points could not , therefore ...
... called a surface or superficial space . This surface can have no thickness , for if it had a thick- ness ever so small points might be found in it belonging entirely to the wood or to the stone , and such points could not , therefore ...
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.