## Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900] |

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Entrance Examinations in Mathematics, 1884 to 1898 [With Supplements to 1900] Yale University No preview available - 2018 |

Entrance Examinations in Mathematics, 1884 to 1898 [With Supplements to 1900] Yale University No preview available - 2015 |

### Common terms and phrases

altitude angle base Calculate chord circle circumference circumscribed coefficients common cone Construct Deduce Define Derive the formula Determine divided drawn equal equivalent Expand Explain Express an angle factors feet figures Find the value following expressions formula four fraction functions geometric Give given given points greater inches included inscribed intersecting JUNE length less limit locus loga logarithm mean measured method opposite parallel passing perimeter perpendicular plane prism proof proportional proposition Prove pyramid QUADRATICS radians radius ratio Reduce regular polygons Resolve respectively right angle secant segments SEPTEMBER Show sides similar simplest Simplify the following simultaneous equations sine SOLID Solve the equation Solve the simultaneous sphere spherical triangle square straight line surface taken tangent theorem third triangle volume Write

### Popular passages

Page 175 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.

Page 4 - The sum of any two face angles of a trihedral angle is greater than the third face angle.

Page 113 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.

Page 173 - The area of a circle is equal to one-half the product of its circumference and radius.

Page 33 - If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side.

Page 35 - In two polar triangles each angle of the one is the supplement of the opposite side in the other. Let ABC, A'B'C

Page 125 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...

Page 188 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.

Page 147 - An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. OM is a right section of oblique prism AD', and OM ' a right prism whose altitude is equal to a lateral edge of AD'. To prove AD' =0= GM' . Proof. The lateral edges of GM

Page 5 - CD be intersected by the parallel planes MN, PQ, RS, in the points A, E, B, and C, F, D.