Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1891-1900Eldred John Brooksmith 1901 |
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Σελίδα 2
... inscribed in a circle are together equal to two right angles . If the opposite sides of such a quadrilateral be produced to meet in P and Q , and about the triangles so formed outside the quadrilateral circles be described intersecting ...
... inscribed in a circle are together equal to two right angles . If the opposite sides of such a quadrilateral be produced to meet in P and Q , and about the triangles so formed outside the quadrilateral circles be described intersecting ...
Σελίδα 6
... inscribed and of the three escribed circles respectively , and Pa , Po , Pc , the perpen- diculars from the angles on the sides a , b , c , prove that I I I + + ra ro rc - I I I I = + + ; Pa Po Pc and if the points where the ...
... inscribed and of the three escribed circles respectively , and Pa , Po , Pc , the perpen- diculars from the angles on the sides a , b , c , prove that I I I + + ra ro rc - I I I I = + + ; Pa Po Pc and if the points where the ...
Σελίδα 9
... inscribed in a triangle , touch one side in its middle point , prove that the straight line joining that point with the opposite angle of the triangle will pass through the centre of the ellipse . 5. If from any point P on a hyperbola a ...
... inscribed in a triangle , touch one side in its middle point , prove that the straight line joining that point with the opposite angle of the triangle will pass through the centre of the ellipse . 5. If from any point P on a hyperbola a ...
Σελίδα 2
... Inscribe a regular quindecagon in a given circle . II . The sides about the equal angles of equiangular triangles are proportionals . If in two triangles ABC , DEF , AB is to BC as DE is to EF , and the angle A is equal to the angle D ...
... Inscribe a regular quindecagon in a given circle . II . The sides about the equal angles of equiangular triangles are proportionals . If in two triangles ABC , DEF , AB is to BC as DE is to EF , and the angle A is equal to the angle D ...
Σελίδα 12
... inscribed and circum- scribed circles of a triangle in terms of the sides of the triangle . Find their numerical values in the case of a triangle in which a = 36 , B = 73 ° 15 ' , C = 45 ° 30 ' . IO . Sum the series sin a + sin ( a + ẞ ) ...
... inscribed and circum- scribed circles of a triangle in terms of the sides of the triangle . Find their numerical values in the case of a triangle in which a = 36 , B = 73 ° 15 ' , C = 45 ° 30 ' . IO . Sum the series sin a + sin ( a + ẞ ) ...
Άλλες εκδόσεις - Προβολή όλων
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... Eldred John Brooksmith,Woolwich Royal Military Academy Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD ALGEBRA angle of friction ARITHMETIC arithmetical progression attached to accuracy axes axis base Binomial Theorem bisected body cent centre of gravity chord coefficient of friction conic coordinates cosec cosine described diameter directrix distance drawn ellipse equal equilateral triangle equilibrium expression feet per second Find the equation Find the number Find the tension Find the value focus Full marks geometrical given circle given point given straight line horizontal plane hyperbola inches inclined plane inscribed intersection latus rectum length line joining locus logarithms middle point miles an hour moving N.B.-Great importance parabola parallel parallelogram passes perpendicular point of projection position Prove pulley quadrilateral radius ratio rectangle contained respectively rest right angles Royal Military Academy SECOND PAPER sides Solve the equations square string subtends tangent triangle ABC TRIGONOMETRY velocity vertex vertical plane weight
Δημοφιλή αποσπάσματα
Σελίδα 3 - 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 2 - IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Σελίδα 2 - 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 perpendicular let fall upon it from the opposite angle, and the acute angle.
Σελίδα 9 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Σελίδα 1 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...
Σελίδα 1 - AB be the given straight line ; it is required to divide it 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 18 - 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, shall be equal to the square of the line which touches it.
Σελίδα 2 - ... 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 3 - If two triangles have two sides of the one equal to two sides of the other...
Σελίδα 17 - If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on the other part.