## A Treatise on Statics: Containing the Theory of the Equilibrium of Forces; and Numerous Examples Illustrative of the General Principles of the Science |

### From inside the book

Results 1-5 of 44

Page 4

...

...

**position**B ' . If the experiment be again tried with the same body P after any interval of time , it will be**found**that the spring will be bent exactly as at first ; thus shewing that the Earth exerts an unvarying pressure upon every ... Page 20

...

...

**position**of which we**find**as follows . Let PR cut AB in Q. Then because m is the resultant of F and ƒ , a force equal to m applied at A in the direction AP would keep the two forces F , f in equilibrium ; and the three being parallel to ... Page 28

...

...

**position**as if the parallelo- gram OADB were turned through a right angle ...**find**their re- sultant . From any point 0 , draw OA , OB 0 equal and ...**find**G2 = L2 + M2 , and tan = M I ' L which equations**determine**both the magnitude of ... Page 38

...

...

**position**of the positive axis of the couple . this axis to the axis of x . Let a be the inclinations of Then COS α ...**find**the conditions that the system of forces in Art . 71 may balance each other . We must consider the two cases ... Page 41

...

...

**found**in Art . 59 shews that the pressure on the axis is just the same as if the ...**find**the resultant of three couples which act in different planes , no two ...**position**of the resultant couple are known . 80. By means of the equations ...### Common terms and phrases

A₁ axes axle balance beam Cambridge catenary centre of gravity chain co-ordinates conditions of equilibrium consequently cord cos² couple cylinder density direction distance draw equal to zero equation equi F₁ F₂ find the centre find the position fixed axis fixed point forces acting forces F friction frustum fulcrum given Hence horizontal plane inclined plane length lever librium m₁ machine magnitude motion moveable osculating plane parabola parallelogram parallelopiped particle passing perpendicular position of equilibrium pressure proportional pulley pyramid radii radius represent resolved respectively rest resultant right angles rigid body screw shew smooth string suppose surface suspended T₁ Taylor's theorem tension thread three forces triangle Trinity College University of Cambridge vertex virtual velocities weight wheel Wherefore ΣΖ ΣΥ ΣΧ

### Popular passages

Page 13 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.

Page 17 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled, with some additional matter occasionally interspersed, for the use of the Students of Bishop's College, Calcutta, by WH MILL, DD late Principal of Bishop's College, and Regius Professor of Hebrew in the University of Cambridge.

Page 19 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.

Page 16 - Confirmation Day. Being a Book of Instruction for Young Persons how they ought to spend that solemn day, on which they renew the Vows of their Baptism, and are confirmed by the Bishop with prayer and the laying on of hands.

Page 19 - The Apology of Tertullian. With English Notes and a Preface, intended as an Introduction to the Study of Patristical and Ecclesiastical Latinity. By HA WOODHAM, LL.D. Second Edition. 8vo. 8*.

Page 23 - The THEATRE of the GREEKS. A series of Papers relating to the History and Criticism of the Greek Drama.

Page 13 - An Historical and Explanatory Treatise on the Book of Common Prayer. Second Edition, enlarged and revised. Post 8vo. Ts. 6d. KEELING (REV. W.) Liturgise Britannicse, or the several Editions of the Book of Common Prayer of the Church of England...

Page 14 - Annotations on the Acts of the Apostles. Original and selected. Designed principally for the use of Candidates for the Ordinary BA Degree, Students for Holy Orders, &c., with College and Senate-House Examination Papers. By the Rev. TR MASKEW, MA Second Edition, enlarged. 12mo. 5».

Page 6 - Problems and Examples, adapted to the " Elementary Course of Mathematics." With an Appendix, containing the Questions proposed during the first three days of the Senate House • Examination.