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Contents

 Section 1 1 Section 2 28 Section 3 195 Section 4 211 Section 5 227 Section 6 243 Section 7 275 Section 8 307
 Section 12 371 Section 13 387 Section 14 403 Section 15 411 Section 16 435 Section 17 451 Section 18 471 Section 19 475

 Section 9 323 Section 10 339 Section 11 355
 Section 20 495 Section 21 503

Popular passages

Page 439 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Page 345 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Page 34 - 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.
Page 18 - 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.
Page 325 - Any two sides of a triangle are together greater than the third side.
Page 299 - 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.
Page 33 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...
Page 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.
Page 244 - 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.
Page 34 - ... 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...