Elements of Geometry and TrigonometryBarnes & Burr, 1863 - 455 σελίδες |
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Αποτελέσματα 1 - 5 από τα 49.
Σελίδα 18
... distance between any two points is mea- sured on the straight line which joins them . 13. Through the same point , only one line can be drawn parallel to a given line . POSTULATES . 1. A straight line can be drawn between any two points ...
... distance between any two points is mea- sured on the straight line which joins them . 13. Through the same point , only one line can be drawn parallel to a given line . POSTULATES . 1. A straight line can be drawn between any two points ...
Σελίδα 26
... distance from A to C , measured on any broken line AB , BC , A B is greater than the distance measured on the straight line AC ( A. 12 ) : hence , the sum of AB and BC is greater than AC ; which was to be proved . Cor . If from both ...
... distance from A to C , measured on any broken line AB , BC , A B is greater than the distance measured on the straight line AC ( A. 12 ) : hence , the sum of AB and BC is greater than AC ; which was to be proved . Cor . If from both ...
Σελίδα 34
... distance will be the longer . Let A be be a given point , DE a given straight line , AB a perpendicular to DE , and AD , AC , AE oblique lines , BC being equal to BE , and BD greater than BC . Then will AB be less than any of the ...
... distance will be the longer . Let A be be a given point , DE a given straight line , AB a perpendicular to DE , and AD , AC , AE oblique lines , BC being equal to BE , and BD greater than BC . Then will AB be less than any of the ...
Σελίδα 35
... distance from a point to a line . Cor . 2. From a given point to a given straight line , only two equal straight lines can be drawn ; for , if there could be more , there would be at least two equal oblique lines on the same side of the ...
... distance from a point to a line . Cor . 2. From a given point to a given straight line , only two equal straight lines can be drawn ; for , if there could be more , there would be at least two equal oblique lines on the same side of the ...
Σελίδα 42
... distance between AB and CD , at the points F and E. Draw also FG . The lines FH and EG are parallel ( P. XVIII . ) : hence , the alternate angles HFG and FGE are equal ( P. XX . , C. 2 ) . The lines AB and CD are parallel , by ...
... distance between AB and CD , at the points F and E. Draw also FG . The lines FH and EG are parallel ( P. XVIII . ) : hence , the alternate angles HFG and FGE are equal ( P. XX . , C. 2 ) . The lines AB and CD are parallel , by ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Δημοφιλή αποσπάσματα
Σελίδα 28 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 100 - The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Σελίδα 59 - A chord is a straight line joining the extremities of an arc.
Σελίδα 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Σελίδα 123 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 182 - The upper end of the frustum of a pyramid or cone is called the upper base...