Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration : Accompanied with All the Necessary Logarithmic and Trigonometric TablesD. Appleton, 1860 - 443 σελίδες |
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Αποτελέσματα 1 - 5 από τα 73.
Σελίδα 21
... half of AF , is less than AE , the half of AE + EF . That is , the perpendicular is shorter than any oblique line . Secondly . If we suppose the figure ADB to revolve about AD , the point B will coincide with E , since DB is equal to DE ...
... half of AF , is less than AE , the half of AE + EF . That is , the perpendicular is shorter than any oblique line . Secondly . If we suppose the figure ADB to revolve about AD , the point B will coincide with E , since DB is equal to DE ...
Σελίδα 22
... half of AC + CF , is greater than AE , the half of AE + EF . That is , the oblique line terminating farther from the foot of the perpendicular is the longer . Cor . I. The perpendicular measures the shortest distance from a point to a ...
... half of AC + CF , is greater than AE , the half of AE + EF . That is , the oblique line terminating farther from the foot of the perpendicular is the longer . Cor . I. The perpendicular measures the shortest distance from a point to a ...
Σελίδα 35
... the parallelogram . THEOREM XXXIII . The straight line joining the middle points of the oblique sides of a trapezoid , will be parallel to the other sides , and equal to half their sum . E Α D C G F H B Suppose EF FIRST BOOK . 35.
... the parallelogram . THEOREM XXXIII . The straight line joining the middle points of the oblique sides of a trapezoid , will be parallel to the other sides , and equal to half their sum . E Α D C G F H B Suppose EF FIRST BOOK . 35.
Σελίδα 36
... half of AD , but ED is also half of AD , hence FG and ED are equal and parallel , and the figure EFGD is a parallelogram , and EF is parallel to DC , and also to AB , since DC and AB are parallel . Again , since EF = DG = AH ; and CG ...
... half of AD , but ED is also half of AD , hence FG and ED are equal and parallel , and the figure EFGD is a parallelogram , and EF is parallel to DC , and also to AB , since DC and AB are parallel . Again , since EF = DG = AH ; and CG ...
Σελίδα 37
... half side , the angle will be acute . III . When this line is less than the half side , the angle will be obtuse . In the triangle ABC , suppose the line CD to be drawn from the angle C to the middle of the side AB . C D B First . When ...
... half side , the angle will be acute . III . When this line is less than the half side , the angle will be obtuse . In the triangle ABC , suppose the line CD to be drawn from the angle C to the middle of the side AB . C D B First . When ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum given angle given line gives greater half hence hypotenuse inches included angle inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume
Δημοφιλή αποσπάσματα
Σελίδα 113 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 31 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 112 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Σελίδα 33 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 80 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 139 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 15 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Σελίδα 174 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 107 - ... similar figures are to each other as the squares of their homologous sides.
Σελίδα 180 - Every section of a sphere, made by a plane, is a circle.