Military examinations. Mathematical examination papers, set at entrance to the Royal military college, Sandhurst, with answers, by W.F. Austin |
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Αποτελέσματα 1 - 5 από τα 7.
Σελίδα 5
... touch externally in a point A , from A a common tangent is drawn which cuts , in the point ( B ) , another line touching both circles ; prove that AB is a mean proportional between the radii of the circles . 10. Is any unit of angular ...
... touch externally in a point A , from A a common tangent is drawn which cuts , in the point ( B ) , another line touching both circles ; prove that AB is a mean proportional between the radii of the circles . 10. Is any unit of angular ...
Σελίδα 8
... touch one another ? If two circles touch each other internally , the straight line which joins their centres being produced shall pass through the point of contact . Draw a circle of given radius which shall touch internally a given ...
... touch one another ? If two circles touch each other internally , the straight line which joins their centres being produced shall pass through the point of contact . Draw a circle of given radius which shall touch internally a given ...
Σελίδα 13
... the product of its semi- circumference by its radius . Three circles , each of radius 1 foot , touch one another exter- nally . Find the area of the curvilinear figure included between them . SET IV . MATHEMATICS . ( 1. ) 1. Prove ( 3 )
... the product of its semi- circumference by its radius . Three circles , each of radius 1 foot , touch one another exter- nally . Find the area of the curvilinear figure included between them . SET IV . MATHEMATICS . ( 1. ) 1. Prove ( 3 )
Σελίδα 16
... touch a given circle . Describe a circle passing through two given points , and touching a given straight line . 4. Upon a given straight line describe a segment of a circle , which shall contain an angle equal to a given rectilineal ...
... touch a given circle . Describe a circle passing through two given points , and touching a given straight line . 4. Upon a given straight line describe a segment of a circle , which shall contain an angle equal to a given rectilineal ...
Σελίδα 20
... touch another in more than one point , whether it touches on the inside or outside . 3. Divide a straight line into ... touching a given circle . 5. Explain the following terms : - ( 1. ) Homologous sides . ( 2. ) Ex æquali . ( 3 ...
... touch another in more than one point , whether it touches on the inside or outside . 3. Divide a straight line into ... touching a given circle . 5. Explain the following terms : - ( 1. ) Homologous sides . ( 2. ) Ex æquali . ( 3 ...
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
acres altitude base centre circular measure circumference common Construct cosine cubic feet cubic foot cuts decimal Define described determine diameter difference digits Divide divisible double drawn equal equilateral triangle explain express Extract the square field figure Find the area find the number Find the value formula four fraction given circle given log given straight line given triangle greater greatest half height hexagon hour inches included inscribed isosceles triangle length less logarithms magnitudes MATHEMATICS mean miles Multiply opposite parallel parallelograms pass perpendicular places produced proportional Prove prove the rule pyramid quantities radius ratio rectangle contained Reduce regular respectively right angle segment semicircle sides similar Simplify sine Solve the equations sphere square root straight line subtending tangent touch units weighs wide 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 4 - 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 4 - ... 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 4 - 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.