A Collection of 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 Examinations in the Years 1848, 1849, 1850, and 1851J. Deighton, 1851 - 173 σελίδες |
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Σελίδα 46
... supposing to be less than 90o . 2. Trace the sign of the quantity sin + cos 0 , while changes from 0 to 360 ° . 3. If O be between 90 ° and 180 ° , what are the proper signs of sin 20 , cos20 , and tan20 ? 4. Write down a formula for ...
... supposing to be less than 90o . 2. Trace the sign of the quantity sin + cos 0 , while changes from 0 to 360 ° . 3. If O be between 90 ° and 180 ° , what are the proper signs of sin 20 , cos20 , and tan20 ? 4. Write down a formula for ...
Σελίδα 75
... supposing the unit of time to be 1 minute , what must be the unit of distance in order that the numerical value of the body's velocity may be 1 ? 3. A man walks with a velocity represented by 2 , and he finds that he walks 7 miles in 2 ...
... supposing the unit of time to be 1 minute , what must be the unit of distance in order that the numerical value of the body's velocity may be 1 ? 3. A man walks with a velocity represented by 2 , and he finds that he walks 7 miles in 2 ...
Σελίδα 80
... supposing this distance ascertained , determine the angle of elevation of the gun . 10. A man fires a ball into the air , wishing it to fall at a certain point ; he finds however that it falls only half way ; he accordingly elevates his ...
... supposing this distance ascertained , determine the angle of elevation of the gun . 10. A man fires a ball into the air , wishing it to fall at a certain point ; he finds however that it falls only half way ; he accordingly elevates his ...
Σελίδα 86
... supposing the earth's radius to be 3958 miles . 3. At what depth below the earth's surface will a seconds ' pendulum beat only 59 times in a minute ? 4. A pendulum loses 3 seconds per day ; how much must it be shortened that it may beat ...
... supposing the earth's radius to be 3958 miles . 3. At what depth below the earth's surface will a seconds ' pendulum beat only 59 times in a minute ? 4. A pendulum loses 3 seconds per day ; how much must it be shortened that it may beat ...
Σελίδα 89
... Supposing the specific gravity of a man , of water , and of cork , to be 1.12 , 1 , and .24 respectively , what quan- tity of cork must be attached to a man weighing 150 lbs . , that he may just float in the water ? 2. A rod of given ...
... Supposing the specific gravity of a man , of water , and of cork , to be 1.12 , 1 , and .24 respectively , what quan- tity of cork must be attached to a man weighing 150 lbs . , that he may just float in the water ? 2. A rod of given ...
Άλλες εκδόσεις - Προβολή όλων
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Συχνά εμφανιζόμενοι όροι και φράσεις
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cos² cosec curve cylinder Describe determine diameter direction distance Divide drawn elastic balls ellipse equal equation equilibrium feet find the height Find the number find the position Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight horizontal plane hyperbola immersed inches incident inclined plane inscribed latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure proportional prove pullies quantities radii radius ratio reflexion refracted respectively right angle shew sides sin² specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
Δημοφιλή αποσπάσματα
Σελίδα 111 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 128 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Σελίδα 111 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 112 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Σελίδα 144 - ... a circle. The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 112 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 160 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.