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University of Allahabad, 1910

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Seite 259 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Seite 194 - When a straight line cuts two other straight lines, if (i) a pair of alternate angles are equal, or (il) a pair of corresponding angles are equal, or (iii) a pair of interior angles on the same side of the cutting line are together equal to two right angles, then the two straight lines are parallel ; and the converse. Straight lines which are parallel to the same straight line are parallel to one another.
Seite 262 - 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 are similar.
Seite 195 - If there are three or more parallel straight lines, and the intercepts 'made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal.
Seite 259 - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
Seite 260 - The square on a side of a triangle is greater than, equal to, or less than, the sum of the squares on the other two sides, according as the angle contained by those sides is obtuse, right or acute. The difference in the cases of inequality is twice the rectangle contained by one of the two sides and the projection on it of the other.
Seite 196 - The angle which an arc of a circle subtends at the centre is double that which it subtends at any point oil the remaining part of the circumference.
Seite 330 - Areas Parallelograms on the same or equal bases and of the same altitude are equal in area. Triangles on the same or equal bases and of the same altitude are equal in area. Equal triangles on the same or equal bases are of the same altitude. Illustrations and explanations...
Seite 194 - 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. If...
Seite 53 - April, 1930. 2. Definitions: In this Act, unless there is anything repugnant in the subject or context: (a) "child...

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