Yale Examination PapersGinn, Heath & Company, 1892 - 139 pages |
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Page 125
... studied , and to what extent . I. PLANE GEOMETRY . 1. ( a ) Define the symmetry of a figure with respect to an axis and with respect to a point . ( b ) Prove that if a figure is symmetrical with respect to two axes perpendicular to each ...
... studied , and to what extent . I. PLANE GEOMETRY . 1. ( a ) Define the symmetry of a figure with respect to an axis and with respect to a point . ( b ) Prove that if a figure is symmetrical with respect to two axes perpendicular to each ...
Page 126
... studied and to what extent . ] 1. To draw a common tangent to two given circles . 2. The bisector of an angle of a triangle divides the op- posite side into segments which are proportional to the adja- cent sides . 3. The area of a ...
... studied and to what extent . ] 1. To draw a common tangent to two given circles . 2. The bisector of an angle of a triangle divides the op- posite side into segments which are proportional to the adja- cent sides . 3. The area of a ...
Page 127
... studied on the subject , and to what extent . I. PLANE GEOMETRY . 1. Of two oblique lines drawn from the same point to the same straight line , that is the greater which cuts off upon the line the greater distance from the foot of the ...
... studied on the subject , and to what extent . I. PLANE GEOMETRY . 1. Of two oblique lines drawn from the same point to the same straight line , that is the greater which cuts off upon the line the greater distance from the foot of the ...
Page 130
... studied , and to what extent . ] 1. An inscribed angle is measured by one - half its inter- cepted arc . 2. From a given point without a circle to draw a tangent to the circle . 3. To construct a triangle which shall be equal in area to ...
... studied , and to what extent . ] 1. An inscribed angle is measured by one - half its inter- cepted arc . 2. From a given point without a circle to draw a tangent to the circle . 3. To construct a triangle which shall be equal in area to ...
Page 131
... studied , and to what extent . I. PLANE GEOMETRY . 1. ( a ) Define the symmetry of a figure with respect to a point and with respect to an axis . ( b ) Determine the symmetrical figure of a triangle with respect to a point lying within ...
... studied , and to what extent . I. PLANE GEOMETRY . 1. ( a ) Define the symmetry of a figure with respect to a point and with respect to an axis . ( b ) Determine the symmetrical figure of a triangle with respect to a point lying within ...
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Page 126 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
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Page 11 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.