## Mathematics, mechanics, heat |

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acting altitude amount angle attraction base beam body called center of gravity circle coefficient column compass considered course cubic diameter difference direction distance divided Draw earth energy equal equation EXAMPLES FOR PRACTICE fall feet foot force formula friction given gives greater head heat Hence hour increased iron latitude length less liquid load longitude magnetism mass mean measured meridian method miles minute motion move multiplied necessary observation obtained opposite parallel pass perpendicular plane position pounds pounds per square pressure proportional raise represented resistance resultant shaft ship shown shows side space square inch straight line stress substance Suppose surface teeth temperature tends Theorem triangle true unit velocity vertical vessel volume weight wheel

### Popular passages

Page 70 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.

Page 39 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.

Page 32 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.

Page 6 - Every body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it.

Page 7 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.

Page 54 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.

Page 21 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.

Page 31 - If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.

Page 60 - The area of a triangle is equal to one-half the product of its base and altitude.

Page 46 - An angle formed by a tangent and a chord is measured by onehalf the intercepted arc.