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 27.
Σελίδα 17
... divided by producing either of the sides CD or FD . This polygon is said to have a re - entering angle at D. G D B THEOREM V. In any convex polygon , the sum of all the interior angles , taken together , is equal to twice as many right ...
... divided by producing either of the sides CD or FD . This polygon is said to have a re - entering angle at D. G D B THEOREM V. In any convex polygon , the sum of all the interior angles , taken together , is equal to twice as many right ...
Σελίδα 48
... divided into equal portions , each of which shall be less than arc GH , there will be at least one point of division between G and H , as at K. Draw the ra- dius EK , and then since the arcs AB and AK are commensura- ble , we have by ...
... divided into equal portions , each of which shall be less than arc GH , there will be at least one point of division between G and H , as at K. Draw the ra- dius EK , and then since the arcs AB and AK are commensura- ble , we have by ...
Σελίδα 75
... divided into 7 + 11 = 18 equal parts , and through the points of division parallels to BC to be drawn , they will divide DC into 18 equal parts ( T. I. ) , of which 7 will belong to DF , and 11 to FC . Hence , DF : FC :: 7 : 11 ...
... divided into 7 + 11 = 18 equal parts , and through the points of division parallels to BC to be drawn , they will divide DC into 18 equal parts ( T. I. ) , of which 7 will belong to DF , and 11 to FC . Hence , DF : FC :: 7 : 11 ...
Σελίδα 83
... CD ' , just demonstrated , we deduce the following : BD : CD :: BD ' : CD ' ; and the straight line BC is said to be divided harmonically at the points D and D ' . THEOREM XIII . If from the right angle of a THIRD BOOK . 83.
... CD ' , just demonstrated , we deduce the following : BD : CD :: BD ' : CD ' ; and the straight line BC is said to be divided harmonically at the points D and D ' . THEOREM XIII . If from the right angle of a THIRD BOOK . 83.
Σελίδα 94
... divided by twice the diameter of its circumscribed circle . Let K be the centre of the circumscribed circle . Draw the diameter CKD , and the chord AD , and the perpendicular CH , which will be the altitude of the triangle . A D K B H ...
... divided by twice the diameter of its circumscribed circle . Let K be the centre of the circumscribed circle . Draw the diameter CKD , and the chord AD , and the perpendicular CH , which will be the altitude of the triangle . A D K B H ...
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 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.