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 26.
Σελίδα 10
... perimeter of the polygon . XX . The simplest kind of polygon is one having only three sides , and is called a triangle . A polygon of four sides is called a quadrilateral ; that of five sides is called a pentagon ; that of six sides is ...
... perimeter of the polygon . XX . The simplest kind of polygon is one having only three sides , and is called a triangle . A polygon of four sides is called a quadrilateral ; that of five sides is called a pentagon ; that of six sides is ...
Σελίδα 93
... perimeter by the radius of its inscribed circle . Let K be the centre of the inscribed circle . Draw KD , KE , KF respectively perpendicu lar to the sides AB , BC , AC . Also draw KA , KB , KC . We obviously have ABC = AKB + BKC + AKC ...
... perimeter by the radius of its inscribed circle . Let K be the centre of the inscribed circle . Draw KD , KE , KF respectively perpendicu lar to the sides AB , BC , AC . Also draw KA , KB , KC . We obviously have ABC = AKB + BKC + AKC ...
Σελίδα 95
... factor AC which enters into the antece- dents , and the common factor A'C ' which enters into the conse- quents , we have ABC : A'B'C ' :: AB2 : A'B'2 . THEOREM XXVIII . The perimeters of two similar polygons are THIRD BOOK . 95.
... factor AC which enters into the antece- dents , and the common factor A'C ' which enters into the conse- quents , we have ABC : A'B'C ' :: AB2 : A'B'2 . THEOREM XXVIII . The perimeters of two similar polygons are THIRD BOOK . 95.
Σελίδα 96
... perimeters of two similar polygons are proportional to their homologous sides . And their areas are proportional to the ... perimeter E D B E ' D ' C F ୯ ' B ' of the second polygon , as any one antecedent is to its corre- sponding ...
... perimeters of two similar polygons are proportional to their homologous sides . And their areas are proportional to the ... perimeter E D B E ' D ' C F ୯ ' B ' of the second polygon , as any one antecedent is to its corre- sponding ...
Σελίδα 107
... perimeter by its apothem . For , the equal isosceles triangles OAB , B G OBC , OCD , etc. , give OAB = AB × of OG , OBC BC x = of OG , OCD = CD x of OG , & c . , & c . Consequently , I area ABCDEF = ( AB + BC + CĐ + etc. ) x } OG ; or ...
... perimeter by its apothem . For , the equal isosceles triangles OAB , B G OBC , OCD , etc. , give OAB = AB × of OG , OBC BC x = of OG , OCD = CD x of OG , & c . , & c . Consequently , I area ABCDEF = ( AB + BC + CĐ + etc. ) x } OG ; or ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon 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.