Download or read book The School News and Practical Educator Volume 11 written by Anonymous and published by Rarebooksclub.com. This book was released on 2013-09 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1897 edition. Excerpt: ...4" long. Draw the bisector of this angle. From various points in the bisector draw pairs of perpendiculars to t_he sides. Which member of each pair is longer? Write your conclusion. _ _ 4. Draw a triangle. Bis_ect two of its angles, extending the bisectors until they intersect at P. To which of the three_ sides is P nearest? Must the bisector of the third angle pass through P? With P as a center draw a circle touching the_ sides of the triangle. This is called an inscribed circle. 5. Draw a 3-inch liii_e AB. Draw several circumferences, each of which passes through both A and B. In what line do their centers lie_? Vhy?_ 6. Draw triangle MK '1'. In what line must lie the centers of all circumferences passing through M and K? All circumferences passing through K and T? If a circumference pass through M, K, and T where must its center lie. How many such circumferences can be drawn? _ This circle is called the circumscribed circle. Vhat three lines pass through_its center? 7. From _each_ vertex of _a triangle may be drawn to the opposite side three_1ines: ' 1. A biseclor bisecting the angle; 2. A_gzedz'a1z to the mid-point of the opposite si e; 3. A_i:1altz'tude perpendicular to the opposite si e. 8. Draw an isosceles triangle; draw the three lines from vertex to base. What peculiarity? Draw the three lines from one of the base angles. Which of the three lines is nearest the base? 9. Draw an equilateral t_ria_n le. _ Draw the altitudes. Why do they all co_inc_i e WllIl1_tl1 medians and bisectors? Call. their intersection O. The lines extending from O to _the vertices divide the triangle into how many triangles? Each is what part of_ the entire triangle? _Can you now show that two thirds of each altitude lies between the vertex and 0? 10....