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 14.
Σελίδα 14
... remaining three angles will each be right , and the two lines will be mutually per- pendicular . When the angles are not right there will be two equal acute angles , and two equal obtuse angles . The acute angle and the obtuse angle ...
... remaining three angles will each be right , and the two lines will be mutually per- pendicular . When the angles are not right there will be two equal acute angles , and two equal obtuse angles . The acute angle and the obtuse angle ...
Σελίδα 18
... remaining angle ADB , of the triangle ADB , must be greater than the remaining angle ACB of the triangle ACB . THEOREM VI . The exterior angle , formed by producing one of the sides of a triangle , is equal to the sum of the two ...
... remaining angle ADB , of the triangle ADB , must be greater than the remaining angle ACB of the triangle ACB . THEOREM VI . The exterior angle , formed by producing one of the sides of a triangle , is equal to the sum of the two ...
Σελίδα 30
... remaining angle C equal to the remain- ing angle G. THEOREM XXIII . In an isosceles triangle , the angles at the base are equal ; or , if a triangle have two sides equal , the angles opposite those sides will be equal . If the triangle ...
... remaining angle C equal to the remain- ing angle G. THEOREM XXIII . In an isosceles triangle , the angles at the base are equal ; or , if a triangle have two sides equal , the angles opposite those sides will be equal . If the triangle ...
Σελίδα 56
... remaining acute angles are equal ; that is , the angle A'OA = A'OB . In the same way we can show that the angle B'OB = B'OC . But the angle A'OB = B'OB , since the apothem FB bisects the angle A'FB ' at the centre ( T. XV . , S ...
... remaining acute angles are equal ; that is , the angle A'OA = A'OB . In the same way we can show that the angle B'OB = B'OC . But the angle A'OB = B'OB , since the apothem FB bisects the angle A'FB ' at the centre ( T. XV . , S ...
Σελίδα 90
... remaining the same , the fourth term will be either greater or less than AF . Suppose it to be greater , and that we have ABCD : AFGD :: AB : AL . Divide the line AB into equal parts , each of which shall be less than FL . There will be ...
... remaining the same , the fourth term will be either greater or less than AF . Suppose it to be greater , and that we have ABCD : AFGD :: AB : AL . Divide the line AB into equal parts , each of which shall be less than FL . There will be ...
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.