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The Ontario High School Geometry [microform]: Theoretical
A H (Alexander Hiram) 1 McDougall
No preview available - 2021
ABCD altitude angle base bisector bisects called centre chord circumference common Construct contained corresponding described diagonals diagram diameter difference distance divided Draw drawn ends equal in area equidistant equilateral Exercises exterior figure Find Find a point fixed formed four given circle given point given st greater half hypotenuse Ilgm inches inscribed interior intersect isosceles Join length line drawn line joining measure median meet middle point opposite sides pair parallel pass perpendicular polygon position PROBLEM produced Proof proportional Prove quadrilateral radius ratio rect rectangle rhombus segment Show sides equal similar square straight line taken tangent THEOREM third touch transversal triangle twice vertex vertices
Page 130 - In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the...
Page 241 - 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.
Page 17 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Page 254 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Page 253 - When it is affirmed (for instance) that " if two straight lines in a circle intersect each other, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other...
Page 235 - Plot the locus of a point which moves so that the ratio of its distances from two fixed points remains constant.
Page 122 - 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.
Page 66 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.