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acute altitude base bisector bisects Calculate called centre chord circle circle of radius circumference common congruent Construct contained converse corresponding Data describe diagonal diameter distance divided Draw drawn edge equal equiangular equidistant equivalent exercises falls figure Find Find the area formed four Give given given line given point given straight line greater height inscribed intersect isosceles triangle length locus mark means Measure meet mid-point miles moves opposite sides pair parallel parallelogram pass perpendicular Plot polygon position produced Proof prove quadrilateral ABCD radius ratio rect rectangle regular Repeat Ex respectively result right angles right-angled triangle segment sides similar square straight line subtends Take tangent THEOREM touch triangle ABC units vertex vertices yards
Side 88 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 206 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Side 342 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Side 270 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Side 186 - This sub-division shows that the square on the hypotenuse of the above right-angled triangle is equal to the sum of the squares on the sides containing the right angle.
Side 206 - 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.
Side 136 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line.
Side 214 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.