Mathematics, mechanics, heatAmerican School of Correspondence, 1903 - Engineering |
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Page 14
... foot of the perpendicular are equal . II . Of two oblique lines cutting off unequal distances from the foot of the perpendicular , the more remote is the greater . A I. Let the oblique lines C E and C 14 GEOMETRY .
... foot of the perpendicular are equal . II . Of two oblique lines cutting off unequal distances from the foot of the perpendicular , the more remote is the greater . A I. Let the oblique lines C E and C 14 GEOMETRY .
Page 15
... foot of the perpendicular C D. To prove that CE CF. = Since CD is perpendicular to E F at its middle point D , CECF ( Theorem VII . ) II . Let the oblique lines C F and C G meet the line A B at unequal distances from the foot of the ...
... foot of the perpendicular C D. To prove that CE CF. = Since CD is perpendicular to E F at its middle point D , CECF ( Theorem VII . ) II . Let the oblique lines C F and C G meet the line A B at unequal distances from the foot of the ...
Page 23
... D F equal distances from the foot of the perpendicular E F ( Theorem VII ) . This is the point A will fall at D. Therefore the triangles coincide throughout and are equal . THEOREM XXI . 82. In an isosceles triangle the angles GEOMETRY .
... D F equal distances from the foot of the perpendicular E F ( Theorem VII ) . This is the point A will fall at D. Therefore the triangles coincide throughout and are equal . THEOREM XXI . 82. In an isosceles triangle the angles GEOMETRY .
Page 57
... foot . 189. Equivalent Polygons are those which have the same . area . 190. The projection of a point upon a straight line of indefi- nite length is the foot of the perpendicular drawn from the point to the line . An entire line may be ...
... foot . 189. Equivalent Polygons are those which have the same . area . 190. The projection of a point upon a straight line of indefi- nite length is the foot of the perpendicular drawn from the point to the line . An entire line may be ...
Page 39
... foot respectively , and the distance between centers 13 feet . In Fig . 17 , let C C ' 13 feet , C A = 6 feet and C ' A ' = 1 foot . Draw C ' F parallel to A A ' . Then C F = 6-15 feet . In the right triangle C F C ' , C C ' = 13 , and ...
... foot respectively , and the distance between centers 13 feet . In Fig . 17 , let C C ' 13 feet , C A = 6 feet and C ' A ' = 1 foot . Draw C ' F parallel to A A ' . Then C F = 6-15 feet . In the right triangle C F C ' , C C ' = 13 , and ...
Common terms and phrases
acting altitude amount beam body called center of gravity chart circle coefficient compass Corollary course cubic dead reckoning decimal degrees diameter direction distance divided earth elastic elastic limit energy equal equation EXAMPLES FOR PRACTICE factor of safety feet per second foot foot-pounds force formula friction gear given greater Greenwich mean heat Hence hour angle hypothenuse kinetic latitude length liquid load logarithm longitude magnetism mantissa mercury meridian miles minute molecules motion move multiplied Nautical orifice parallel parallelogram pendulum perpendicular plane polygon position poundal pounds per square pressure proportional pulley quadrant radius resultant revolutions revolutions per minute right angles right triangles sextant shaft ship ship's side specific gravity square inch straight line stress substance surface temperature Theorem tion triangles A B C unit velocity vertical vessel weight wheel wrought iron
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.