## CalendarUniversity of Allahabad, 1907 |

### From inside the book

Page 223

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**one equal to two angles of the other , each to each , and**also one side of the one equal to the corresponding side of the other , the triangles are congruent . If two sides of a triangle are equal , the angles oppo- site to these sides ...### Contents

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### Common terms and phrases

1894 Agra College 1895 Canning College Abdul AFFILIATED IN ARTS Ahmad Ajmer Aligarh Arabic B.Sc Bachelor of Arts BACHELOR OF LAWS Bahadur Banerji Bareilly College Behari Lal Benares Bhargava Brahman certificate Chand Chandra Charan Chatterji Christ Church College College Agra College College M. C. College D.Sc Dayal Ditto Ditto Ditto Ditto III Ditto Dube elected English Faculty Gopal Govt Gupta Hari Hasan High School Hindi History Hon'ble Honours Husain India Jaipur John's College Jubbulpore Kayasth Khan Khattri Krishna Kumar Lashkar Lucknow Maharaja's College Mathematics Mathur Meerut College Misra Mohan Mohd Muhammad Muir Central College Mukerji Name of Candidate Name of College Narain Narayan Nath Organic Chemistry Pandit papers passed Persian prescribed Profr Queen's College Registrar Regulations Sahai Saksena Sanskrit Science Senate Shanker Sharma Shiva Singh Sinha Srivastav Syed Syndicate Teacher Thur Tues University of Allahabad Urdu Vaish Victoria College

### Popular passages

Page 180 - 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.

Page 223 - 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.

Page 224 - 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 of the geometrical theorems corresponding to the following algebraical identities : — k (a -f 6 + c + ...) = ka + kb + kc + . .., (a-\- b)' = a2 +2ab + b2, (a — b)- = a2 — 2ab + b2, a2 — b2 = (a + b) (a — b).

Page 224 - 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.

Page 225 - 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.

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