Yale Examination PapersGinn, Heath & Company, 1892 - 139 pages |
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Page 11
... perpendicular to a given straight line of an unlimited length , from a given point without it . 2. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts , are also themselves equal ...
... perpendicular to a given straight line of an unlimited length , from a given point without it . 2. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts , are also themselves equal ...
Page 13
... perpendicular to a given straight line , at a given point of that line . ( b ) At a point on a given straight line , to construct an angle equal to a given angle . 3. In any triangle , the square of a side opposite an acute angle is ...
... perpendicular to a given straight line , at a given point of that line . ( b ) At a point on a given straight line , to construct an angle equal to a given angle . 3. In any triangle , the square of a side opposite an acute angle is ...
Page 14
... perpendicular to a given straight line , from a given point without that line . 4. Parallelograms which have equal bases and equal alti- tudes are equivalent . 5. If a straight line be divided into any two parts , the square of the ...
... perpendicular to a given straight line , from a given point without that line . 4. Parallelograms which have equal bases and equal alti- tudes are equivalent . 5. If a straight line be divided into any two parts , the square of the ...
Page 16
... perpendicular let fall on it from the opposite angle and the acute angle . 3. The opposite sides of a parallelogram are equal to each other . 4. Trisect a right angle . 5. From the extremities of the base of an isosceles triangle ...
... perpendicular let fall on it from the opposite angle and the acute angle . 3. The opposite sides of a parallelogram are equal to each other . 4. Trisect a right angle . 5. From the extremities of the base of an isosceles triangle ...
Page 125
... perpendicular be drawn from the vertex of the right angle to the hypothenuse of a right triangle , the two triangles thus formed are similar to each other and to the whole triangle . ( b ) What can you say of the perpendicular as com ...
... perpendicular be drawn from the vertex of the right angle to the hypothenuse of a right triangle , the two triangles thus formed are similar to each other and to the whole triangle . ( b ) What can you say of the perpendicular as com ...
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Page 12 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 15 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
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Page 127 - Every section of a circular cone made by a plane parallel to the base is a circle.
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.