The Elements of GeometryLeach, Shewell & Sanborn, 1894 - 378 σελίδες |
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Αποτελέσματα 1 - 5 από τα 88.
Σελίδα ix
... drawn to AC . .. ABCE . [ Two ks to the same str . line are || . ] But by hyp . , ABCD . .. CE must coincide with CD . [ But one str . line can be drawn through a given point || to a given str . line . ] But AC ICE , and .. AC 1 CD ...
... drawn to AC . .. ABCE . [ Two ks to the same str . line are || . ] But by hyp . , ABCD . .. CE must coincide with CD . [ But one str . line can be drawn through a given point || to a given str . line . ] But AC ICE , and .. AC 1 CD ...
Σελίδα 4
... drawn between two points . 6. A straight line is the shortest line between two points . 19. A straight line is said to be determined by any two of its points . SYMBOLS . 20. The following symbols will be used in the work : X ...
... drawn between two points . 6. A straight line is the shortest line between two points . 19. A straight line is said to be determined by any two of its points . SYMBOLS . 20. The following symbols will be used in the work : X ...
Σελίδα 5
... drawn from the same point in different directions , the figure formed is called an Angle . Thus , if the straight lines OA and OB be drawn from the same point O in dif- ferent directions , the figure AOB is an angle . A B The point O is ...
... drawn from the same point in different directions , the figure formed is called an Angle . Thus , if the straight lines OA and OB be drawn from the same point O in dif- ferent directions , the figure AOB is an angle . A B The point O is ...
Σελίδα 6
... drawn meeting the given line in such a way as to make the adjacent angles equal , each of the equal angles is called a right angle , and the lines are said to be perpendicular to each other . Thus , if A be any point in the line CD ...
... drawn meeting the given line in such a way as to make the adjacent angles equal , each of the equal angles is called a right angle , and the lines are said to be perpendicular to each other . Thus , if A be any point in the line CD ...
Σελίδα 7
... drawn , and but one . A B Let C be the given point in the straight line AB . To prove that a perpendicular can be drawn to AB at C , and but one . Draw CD , making △ BCD < ≤ ACD ; and let CD be re- volved about the point C as a pivot ...
... drawn , and but one . A B Let C be the given point in the straight line AB . To prove that a perpendicular can be drawn to AB at C , and but one . Draw CD , making △ BCD < ≤ ACD ; and let CD be re- volved about the point C as a pivot ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angles are equal approach the limit arc BC area ABC base and altitude BC² bisector bisects centre chord circle circumference circumscribed cone of revolution construct the triangle Converse of Prop cylinder diagonals diameter diedral Draw BC equal respectively equally distant equilateral triangle equivalent exterior angle Find the area frustum given point given straight line Hence homologous hypotenuse intersection isosceles triangle lateral area lateral edges Let ABC measured by arc middle point number of sides O-ABC parallelogram parallelopiped perimeter perpendicular to MN plane MN polyedral polyedron prism produced PROPOSITION prove pyramid quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle secant line segment similar slant height sphere spherical polygon spherical triangle square surface tangent tetraedron THEOREM trapezoid triangle ABC triangles are equal triangular prism triedral vertex volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 165 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 39 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 65 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 172 - The areas of two triangles which have 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. To prove that Proof. A Let the triangles ABC and ADE have the common angle A. A ABC -AB X AC Now and A ADE AD X AE Draw BE.
Σελίδα 122 - In any proportion the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 355 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
Σελίδα 52 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other.
Σελίδα 140 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 123 - In any proportion the terms are in proportion by composition and division ; that is, the sum of the first two terms is to their difference as the sum of the last two terms to their difference.
Σελίδα 207 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.