# Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1894-1903

Eldred John Brooksmith
1904

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### Δημοφιλή αποσπάσματα

Σελίδα 3 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 7 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
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 on the line between the points of section, is equal to the square on half the line.
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 3 - Any two sides of a triangle are together greater than the third side.
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 2 - 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 2 - 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...