 ... and the converse. If two triangles are equiangular their corresponding sides are proportional ; and the converse. 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...  General Announcement - McGill University - Page 31by McGill University - 1910Full view - About this book
 | Queensland. Department of Public Instruction - Education - 1909 - 144 pages
...triangle with a side of 3 inches and an angle of 60" adjacent to that side. !). The ratio of the ureas of similar triangles is equal to the ratio of the squares on corresponding sides. 10. ABC is any triangle and AD is the perpendicular drawn from A to the baseBC. Prove that AB" - AC-... | |
 | Education - 1903 - 692 pages
...is drawn parallel to one side of a triangle, the other two sides are divided proportionally; and He converse. If two triangles are equiangular their corresponding...to the ratio of the squares on corresponding sides. Arithmetic. — A knowledge of recurring decimals and of the process of extracting cube root shall... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...corresponding altitudes of similar triangles is equal to the ratio of corresponding sides. THEOREM 6. The ratio of the areas of similar triangles is equal...to the ratio of the squares on corresponding sides. Data To prove that Construction Proof D ° YWZ fig. 317. ABC, XYZ are two similar triangles. AABC BC2... | |
 | 1904 - 386 pages
...and divide it into two parts which have to one another the ratio of ^/ 10 to I. (30) 44. Show that the ratio of the areas of similar triangles is equal...to the ratio of the squares on corresponding sides. Show how to con-truct a triangle similar to one given triangle and equal in area to another given triangle.... | |
 | University of Birmingham - 1907 - 668 pages
...equal to the rectangle contained by the parts of the other. Proportion and Sin/Ha)' Triamjlux. — If a straight line is drawn parallel to one side of...to the ratio of the squares on corresponding sides. 3, 4, and 5. («) and (i) Latin and Greek. (i.) Translation of easy passages at sight, with questions... | |
 | University of Allahabad - 1907 - 528 pages
...parallel to one side of a triangle the other two sides are divided proportionally and the co/iverse. If two triangles are equiangular, their corresponding...triangles is equal to the ratio of the squares on the corresponding sides. SECOND COURSE OF MATHEMATICS. TBIGONOMBTBY AND GEOMETBICAL CONIC SECTIONS... | |
 | University of Calcutta - Universities and colleges - 1907 - 458 pages
...triangles or of two sinrlar polygons, is equal to the ratio of the squares on the corresponding sides. The internal bisector of an angle of a triangle divides...angle ; and likewise the external bisector externally. SANSKRIT. Additional paper. In the additional paper in Sanskrit the marks shall be distributed in the... | |
 | University of Allahabad - 1908 - 568 pages
...the triangles are similar. The internal bisector of an angle of a triangle divides the opposite sides internally in the ratio of the sides containing the angle, and likewise the external bisector extCTnally. The ratio of the areas of similar triangles is equal to the ratio of the squares on corresponding... | |
 | University of Allahabad - 1909 - 638 pages
...about these equal angles proportional, the triangles are similar. The internal bisector of an ungle of a triangle divides the opposite side internally...triangles is equal to the ratio of the squares on the corresponding sides. MATHEMATICS AS IN THE EXAMINATION FOR. l908. There will be two papers in Mathematics,... | |
 | Mathematics - 1909 - 605 pages
...divides the opposite side internally in the ratio of the sides containing the angle, and likewise the externally. The ratio of the areas of similar triangles...to the ratio of the squares on corresponding sides. ARITHMETIC. A knowledge of recurring decimals and of the process of extracting cube root shall not... | |
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