Yale University Entrance Examinations in Mathematics: 1884 to 1898

Boardman School Press, 1898 - 208 σελίδες

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Δημοφιλή αποσπάσματα

Σελίδα 173 - 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.
Σελίδα 4 - The sum of any two face angles of a trihedral angle is greater than the third face angle.
Σελίδα 190 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Σελίδα 125 - The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides.
Σελίδα 115 - 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.
Σελίδα 171 - The area of a circle is equal to one-half the product of its circumference and radius.
Σελίδα 35 - If two sides of a triangle are unequal, the angles opposite are unequal, and the greater angle is opposite the greater side.
Σελίδα 37 - In two polar triangles each angle of the one is the supplement of the opposite side in the other. Let ABC, A'B'C
Σελίδα 125 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 186 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.

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