Military examinations. Mathematical examination papers, set at entrance to the Royal military college, Sandhurst, with answers, by W.F. Austin |
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Σελίδα 2
... proportional . If the sides of the triangle be expressed numerically , show that their areas will be to each other as the product of the sides in each triangle containing the equal angles . 8. What test does Euclid give to determine ...
... proportional . If the sides of the triangle be expressed numerically , show that their areas will be to each other as the product of the sides in each triangle containing the equal angles . 8. What test does Euclid give to determine ...
Σελίδα 5
... proportional between the radii of the circles . 10. Is any unit of angular measurement referred to in the first book of Euclid ? What units of angular measurements are commonly used in English treatises on Plane Trigonometry ? Examine ...
... proportional between the radii of the circles . 10. Is any unit of angular measurement referred to in the first book of Euclid ? What units of angular measurements are commonly used in English treatises on Plane Trigonometry ? Examine ...
Σελίδα 8
... proportionally . Construct a triangle similar to a given triangle , such that each of its sides shall be one - fourth ... proportional . Show that if the condition in italics were disregarded the proportion would not necessarily be true ...
... proportionally . Construct a triangle similar to a given triangle , such that each of its sides shall be one - fourth ... proportional . Show that if the condition in italics were disregarded the proportion would not necessarily be true ...
Σελίδα 16
... proportional . If a straight line touch a circle , and from the point of contact two chords be drawn , and if from the extremity of one of them a straight line be drawn parallel to the tangent meeting the other chord ( produced , if ...
... proportional . If a straight line touch a circle , and from the point of contact two chords be drawn , and if from the extremity of one of them a straight line be drawn parallel to the tangent meeting the other chord ( produced , if ...
Σελίδα 23
... proportional parts in the cal- culation of logarithms ? Given log 23454000 7.3702169 , and log 23453000 7.3701984 , find log 23453487 , and explain how the calculations would be simplified in tables of logarithms . == 12. Find a from ...
... proportional parts in the cal- culation of logarithms ? Given log 23454000 7.3702169 , and log 23453000 7.3701984 , find log 23453487 , and explain how the calculations would be simplified in tables of logarithms . == 12. Find a from ...
Άλλες εκδόσεις - Προβολή όλων
Military Examinations. Mathematical Examination Papers, Set at Entrance to ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Military Examinations. Mathematical Examination Papers, Set At Entrance To ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Military Examinations. Mathematical Examination Papers, Set At Entrance To ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c acres algebraical quantities altitude base bisected centre chains circle are equal circular measure circumference circumscribing circle cosec cubic feet cubic foot cuts the circle Describe a circle digits equilateral and equiangular equilateral triangle express Extract the square Find the area find the logarithms find the number Find the value formula fraction given circle given log given points given straight line given triangle half the line included angle isosceles triangle least common multiple line be divided logarithms magnitudes MATHEMATICS miles number of cubic obtuse angle parallelograms Prove that log prove the rule pyramid quadratic surd radius ratio rectangle contained rectilineal figure recurring decimal regular polygon rhombus right angle segment semicircle Solve the equations square numbers square of half square root subtending tan-¹ tan² tangent twice the rectangle weighs whole line whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 44 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Σελίδα 24 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of the line which touches it.
Σελίδα 36 - 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 12 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 2 - 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 of the line between the points of section, is equal to the square of half the line.
Σελίδα 36 - 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 36 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Σελίδα 44 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 2 - ... the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Σελίδα 2 - 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.