A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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... Forces , 512 Collision of Bodies , 515 Laws of Gravity , 520 Practical Gunnery , 528 Inclined Planes and Pendulums , 531 Mechanical Powers , 538 Lever , 539 • Wheel and Axle , 542 Pulley , 544 Wedge , 546 Screw , 547 Centre of Gravity ...
... Forces , 512 Collision of Bodies , 515 Laws of Gravity , 520 Practical Gunnery , 528 Inclined Planes and Pendulums , 531 Mechanical Powers , 538 Lever , 539 • Wheel and Axle , 542 Pulley , 544 Wedge , 546 Screw , 547 Centre of Gravity ...
Page 506
... ACD , are semicircles . Now , in the triangle BCD , BCBD + DC , by Prop . vII .; . : AB + AC + BC ≤ AB + BD + AC + DC ABD + ACD circumference of great circle . D OF MOTION , FORCES , & c . DEFINITIONS . 506 SPHERICAL GEOMETRY .
... ACD , are semicircles . Now , in the triangle BCD , BCBD + DC , by Prop . vII .; . : AB + AC + BC ≤ AB + BD + AC + DC ABD + ACD circumference of great circle . D OF MOTION , FORCES , & c . DEFINITIONS . 506 SPHERICAL GEOMETRY .
Page 507
... force , -like pressure or the force of gravity ; but if it act instantaneously , or but for an imperceptibly small time , it is called Impulse , or Percussion , -like the smart blow of a hammer . 9. Forces are also distinguished into ...
... force , -like pressure or the force of gravity ; but if it act instantaneously , or but for an imperceptibly small time , it is called Impulse , or Percussion , -like the smart blow of a hammer . 9. Forces are also distinguished into ...
Page 508
... force . 10. Accelerative , or Retardive force , is commonly understood to be that which affects the velocity only ; or it is that by which the velocity is accelerated or retarded ; and it is equal or proportional to the motive force ...
... force . 10. Accelerative , or Retardive force , is commonly understood to be that which affects the velocity only ; or it is that by which the velocity is accelerated or retarded ; and it is equal or proportional to the motive force ...
Page 509
... force , is as the generating force . That is , m is asƒ ; where m denotes the momentum , and ƒ the force . For , every effect is proportional to its adequate cause . So that a double force will impress a double quantity of motion ; a triple ...
... force , is as the generating force . That is , m is asƒ ; where m denotes the momentum , and ƒ the force . For , every effect is proportional to its adequate cause . So that a double force will impress a double quantity of motion ; a triple ...
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Common terms and phrases
algebraic ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards