Solutions to the mathematical examination papers set for admission to the Royal military academy, Woolwich, and for the Royal military college [&c.] by D. Tierney and H. Sharratt1877 |
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Σελίδα 14
... four straight lines be proportionals , the rect- angle contained by the extremes is equal to the rectangle contained by the means . On a given straight line describe an isosceles triangle equal to a given triangle . Let EF ( fig . 6 ) ...
... four straight lines be proportionals , the rect- angle contained by the extremes is equal to the rectangle contained by the means . On a given straight line describe an isosceles triangle equal to a given triangle . Let EF ( fig . 6 ) ...
Σελίδα 15
... four decimal places the length of the arc subtending an angle of 3o , taking π to be 3 · 1416 . Result 1.309 feet . 2. Define the principal trigonometrical ratios , and trace the changes in sign and magnitude of sin 30 as cos 20 e ...
... four decimal places the length of the arc subtending an angle of 3o , taking π to be 3 · 1416 . Result 1.309 feet . 2. Define the principal trigonometrical ratios , and trace the changes in sign and magnitude of sin 30 as cos 20 e ...
Σελίδα 20
... four right angles . Euclid , Book XI . , Defs . 9 , 11 , Prop . 21 . Is this proposition true if any of the planes which contain the solid angle make re - entering angles with one another ? If the planes make re - entering angles with ...
... four right angles . Euclid , Book XI . , Defs . 9 , 11 , Prop . 21 . Is this proposition true if any of the planes which contain the solid angle make re - entering angles with one another ? If the planes make re - entering angles with ...
Σελίδα 41
... four solid angles of the pyramid . Parkinson's Mechanics , Arts . 70 , 79 . 5. How is the work done by an agent estimated ? What is the numerical measure of a horse - power ? When weights are raised through different heights , prove ...
... four solid angles of the pyramid . Parkinson's Mechanics , Arts . 70 , 79 . 5. How is the work done by an agent estimated ? What is the numerical measure of a horse - power ? When weights are raised through different heights , prove ...
Σελίδα 63
... four values . Given sin 300 ° = √ ( 3 ) , find sin 150 ° . : Tod . Trig . , Arts . 98 , 99 . 2 sin 150 ° = √ ( 1 − sin 300 ° ) + √√ ( 1 + sin 300 ° ) - therefore ( 2 + √ ( 3 ) ) = + 2 1 + √ ( 3 ) 1 - √ ( 3 ) = + = 1 ; 2 2 sin ...
... four values . Given sin 300 ° = √ ( 3 ) , find sin 150 ° . : Tod . Trig . , Arts . 98 , 99 . 2 sin 150 ° = √ ( 1 − sin 300 ° ) + √√ ( 1 + sin 300 ° ) - therefore ( 2 + √ ( 3 ) ) = + 2 1 + √ ( 3 ) 1 - √ ( 3 ) = + = 1 ; 2 2 sin ...
Άλλες εκδόσεις - Προβολή όλων
Solutions To The Mathematical Examination Papers Set For Admission To The ... D Tierney,Handell Sharratt Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Solutions to the Mathematical Examination Papers Set for Admission to the ... D. Tierney,Handell Sharratt Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Solutions To The Mathematical Examination Papers Set For Admission To The ... D. Tierney,Handell Sharratt Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD acceleration AD² ARITHMETIC axis BC² cent centre of gravity circle coefficient of friction Conic Sections cose cubic curve decimal described diameter Differential Calculus directrix Divide dy dx equal and parallel Euclid expression feet Find the equation forces fraction given straight line hyperbola inches inclined integration intersect Join latus rectum least common multiple logarithmic mechanical advantage METCALFE AND SON moment of inertia Multiply opposite angles parabola parallelogram Parkinson's Mechanics particle perpendicular plane point of bisection Prop prove quadrilateral radius ratio rectangle contained Result right angles roots seconds segments semicircle shew sides Similarly sin² sine square string subtending Subtract tangent Todhunter Todhunter's Trigonometry triangle ABC Trig vertex vertical virtual velocities weight whence whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 55 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 71 - 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 11 - ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third.
Σελίδα 12 - 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.
Σελίδα 13 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Σελίδα 15 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Σελίδα 13 - BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other.
Σελίδα 62 - In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle.
Σελίδα 13 - PROP. X. THEOR. IF a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced.
Σελίδα 70 - And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB, therefore the whole angle ABD is equal to the whole angle ACD • (ax.