The Ontario High School Geometry: Theoretical |
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... meet the circle in only one point . Areas of triangles and parallelograms are compared with rectangles , thereby not only giving a simple method of treat- ment , but also promoting facility in numerical computations . Similarly , the ...
... meet the circle in only one point . Areas of triangles and parallelograms are compared with rectangles , thereby not only giving a simple method of treat- ment , but also promoting facility in numerical computations . Similarly , the ...
Page 12
... equal to four rt . Ls . Thus , if any number of straight lines meet at a point , the sum of the successive angles is four right angles . THEOREM 1 Each of the angles formed by two intersecting 12 Book I THEORETICAL GEOMETRY.
... equal to four rt . Ls . Thus , if any number of straight lines meet at a point , the sum of the successive angles is four right angles . THEOREM 1 Each of the angles formed by two intersecting 12 Book I THEORETICAL GEOMETRY.
Page 18
... meet the circumferences in D , E , B , C ; prove that BE = DC . 7. ABCD is a quadrilateral having the opposite sides AB , CD equal and △ B = C. Show that AC = BD . 8. In the diagram , ABC and DEF are both L BE . Also AB = BC and DE ...
... meet the circumferences in D , E , B , C ; prove that BE = DC . 7. ABCD is a quadrilateral having the opposite sides AB , CD equal and △ B = C. Show that AC = BD . 8. In the diagram , ABC and DEF are both L BE . Also AB = BC and DE ...
Page 30
... meet at O. Bisect AC at E. Join EO . Prove OE LAC . 7. Describe a circle through the three vertices of a △ . 8. Describe a circle to pass through three given points that are not in the same st . line . 9. Show how any number of circles ...
... meet at O. Bisect AC at E. Join EO . Prove OE LAC . 7. Describe a circle through the three vertices of a △ . 8. Describe a circle to pass through three given points that are not in the same st . line . 9. Show how any number of circles ...
Page 34
... equal 4s with AB . 11. The right bisectors of the two sides AB , AC of A ABC meet at D , and E is the middle point of BC . Show that DEL BC . PARALLEL STRAIGHT LINES 50. Definitions . - Two straight lines 34 Book I THEORETICAL GEOMETRY.
... equal 4s with AB . 11. The right bisectors of the two sides AB , AC of A ABC meet at D , and E is the middle point of BC . Show that DEL BC . PARALLEL STRAIGHT LINES 50. Definitions . - Two straight lines 34 Book I THEORETICAL GEOMETRY.
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The Ontario High School Geometry [microform]: Theoretical A H (Alexander Hiram) 1 McDougall No preview available - 2021 |
Common terms and phrases
AB² altitude base bisects centre chord circles touch circumference circumscribed common tangent concyclic Construct corresponding sides cyclic quadrilateral Describe a circle diagonals diagram diameter divided draw a st EFGH equal in area equiangular polygon equidistant equilateral exterior figure Find a point Find the locus fixed points given circle given point given st given straight line gm ABCD hypotenuse Hypothesis Hypothesis.-ABC inches inscribed circle isosceles KLMN length line drawn line joining mean proportional median drawn middle point opposite sides parallelogram perpendicular point of contact point of intersection polygon produced Proof Prove radius rect rectangle contained respectively equal rhombus right bisector secant segment Show sides equal similar square subtend tangent THEOREM triangle vertex vertices
Popular passages
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 242 - If two triangles have two sides of one proportional to two sides of the other, and the angles opposite one pair of corresponding sides...
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.
Page 113 - TO describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle.