Mathematics, mechanics, heatAmerican School of Correspondence, 1903 |
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Αποτελέσματα 1 - 5 από τα 64.
Σελίδα 3
... . A Theorem is a truth which requires to be proved . A Problem is a question proposed for solution . 16. A Proposition is a general name for either a theorem or a problem . 17. A Corollary is an inference from a proposition or SECTION I.
... . A Theorem is a truth which requires to be proved . A Problem is a question proposed for solution . 16. A Proposition is a general name for either a theorem or a problem . 17. A Corollary is an inference from a proposition or SECTION I.
Σελίδα 6
... prove that A CD + DCB two right angles . At C , erect the perpendicular CE ; then it is evident that ACD + DCE ACE one right angle . BCD - DCE = BCE = one right angle Adding we have = ACD + BCD = ACE + BCE two right angles . 31 ...
... prove that A CD + DCB two right angles . At C , erect the perpendicular CE ; then it is evident that ACD + DCE ACE one right angle . BCD - DCE = BCE = one right angle Adding we have = ACD + BCD = ACE + BCE two right angles . 31 ...
Σελίδα 7
... prove that A C B is a straight line . If A CB is not a straight line , let C E be in the same straight line with A C. By Corollary 1 , angle ECD is the supplement of angle A CD . But by hypothesis angle B C D is the supplement of A CD ...
... prove that A C B is a straight line . If A CB is not a straight line , let C E be in the same straight line with A C. By Corollary 1 , angle ECD is the supplement of angle A CD . But by hypothesis angle B C D is the supplement of A CD ...
Σελίδα 8
... prove that angle A E C = angle B E D. By § 28 , angle A E Cis the supplement of angle A E D. Angle B E D is also the supplement of angle A ED ; and .. angle A E C = angle BED . ( Also by § 28. ) In like manner it may be proved that ...
... prove that angle A E C = angle B E D. By § 28 , angle A E Cis the supplement of angle A E D. Angle B E D is also the supplement of angle A ED ; and .. angle A E C = angle BED . ( Also by § 28. ) In like manner it may be proved that ...
Σελίδα 9
American School (Chicago, Ill.) To prove angle B = angle E. Produce D E and F E so as to form angle G E H ; Then , angle G E H = angle DEF And , angle G E H = angle A B C ( Theorem III ) , ( By hypothesis ) . . ' . angle B = angle E ...
American School (Chicago, Ill.) To prove angle B = angle E. Produce D E and F E so as to form angle G E H ; Then , angle G E H = angle DEF And , angle G E H = angle A B C ( Theorem III ) , ( By hypothesis ) . . ' . angle B = angle E ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 32 - If the diagonals of a quadrilateral bisect each other, the figure is a parallelogram.
Σελίδα 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.
Σελίδα 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.
Σελίδα 54 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 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.
Σελίδα 31 - If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.
Σελίδα 60 - The area of a triangle is equal to one-half the product of its base and altitude.
Σελίδα 46 - An angle formed by a tangent and a chord is measured by onehalf the intercepted arc.