...angle at the base. 6. Define similar triangles, duplicate ratio : — Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 8. Define a conic section, the tangent to a conic section : — If S be the focus, P any point on the...

...of a circle, which Khali contain an angle equal to a given rectilineal angle. 3. Similar triangles are to one another in the duplicate ratio of their homologous sides. 4. Investigate a rule for finding the greatest common measure of two algebraical expressions. 5. Reduce...

...that equal magnitudes have the same ratio to the same magnitude and conversely. 10. Similar triangles are to one another in the duplicate ratio of their homologous sides. Bisect a triangle by a line perpendicular to one of the sides. 11. Enunciate and prove the general...

...intensity. SATURDAY MoRNING .... 9 to 11. First, Second, TJiird and Fourth Classes. 1. SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. t 2. If two straight lines meeting one another, be parallel to two straight lines which meet one another,...

...and their difference is equal to the difference of their squares. 12. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 13. If two chords of a circle intersect, the rectangles contained by the segments are equal. 14. ABC...

...from (E), and u the distance of E' from E. FRIDAY, January 5, 18-14. 9. ..Hi. 1. SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. 2. Every solid angle is contained by plane angles which are together less than four right angles. 3....

...at the centres of equal circles from the ratio of the arcs on which they stand. 6. Similar triangles are to one another in the duplicate ratio of their homologous sides. To construct a triangle similar to a given triangle and equal to half of it. 7. If two straight lines...

...which between two given straight lines shall be divided in a given proportion. 5. Similar triangles are to one another in the duplicate ratio of their homologous sides. Show that they are also in the duplicate ratio of the radii of their circumscribing circles. 6. When...

...SATURDAY MORNING. ... 9 o'clock to 11. Pint, Second, Third and Fourth Classes. • 1. SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. 2. If a straight line be at right angles to a plane, every plane passing through that straight line...

...10 corresponding sides. And it was also proved in the case of triangles ; therefore also, generally, similar rectilineal figures are to one another in the duplicate ratio of the corresponding sides. QED i. in the same ratio as the wholes. The same word ip.iX0701 is used which...