Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes & Burr, 1863 |
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Αποτελέσματα 1 - 5 από τα 80.
Σελίδα 40
... tangent is a line which has but one point in common with the cir- cumference . Thus , CMB is a tangent . 14. Two circles are said to touch each other internally , when one lies within the other , and their circumfe- rences have but one ...
... tangent is a line which has but one point in common with the cir- cumference . Thus , CMB is a tangent . 14. Two circles are said to touch each other internally , when one lies within the other , and their circumfe- rences have but one ...
Σελίδα 44
... tangent to it at the point B ( Def . 13 ) Cor . Hence , if a line is tangent to a circle , and a radius be drawn through the point of contact , the radius will be perpen dicular to the tangent . THEOREM VI . If the distance between the ...
... tangent to it at the point B ( Def . 13 ) Cor . Hence , if a line is tangent to a circle , and a radius be drawn through the point of contact , the radius will be perpen dicular to the tangent . THEOREM VI . If the distance between the ...
Σελίδα 45
... tangent to each other . Sch If two circles touch each other , either externally or nternally , their centres and the point of contact will be in the same straight line 46 entre pies . AM within without the GEOMETRY . BOOK II . 45.
... tangent to each other . Sch If two circles touch each other , either externally or nternally , their centres and the point of contact will be in the same straight line 46 entre pies . AM within without the GEOMETRY . BOOK II . 45.
Σελίδα 49
... tangent and a chord , is measured by half · the arc of the chord . Let BAE be tangent to the circle at the point A , and AC any chord . From A , the point of contact , draw the diameter AD . M Then , the angle BAD will be a right angle ...
... tangent and a chord , is measured by half · the arc of the chord . Let BAE be tangent to the circle at the point A , and AC any chord . From A , the point of contact , draw the diameter AD . M Then , the angle BAD will be a right angle ...
Σελίδα 50
... tangent and a chord are parallel to each other , they will intercept equal arcs . Let the tangent ABC be parallel to the chord DF : then will the intercepted arcs DB , BF , be equal to each other . For , draw the chord DB . Then , since ...
... tangent and a chord are parallel to each other , they will intercept equal arcs . Let the tangent ABC be parallel to the chord DF : then will the intercepted arcs DB , BF , be equal to each other . For , draw the chord DB . Then , since ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A. S. BARNES ABCDE allel altitude angles equal axis base multiplied bisect centre chord circle whose diameter circumference common intersection cone consequently convex surface Cosine Cotang cubic curve cylinder decimal degrees diagonal dicular distance divided draw equal Bk equal to half equivalent feet figure find the area find the Solidity frustum GEOMETRY half the product hence hexagon horizontal hypothenuse inches included angle inscribed Let ABCD lower base measured by half Mensuration of Surfaces nonagon parallelogram parallelopipedon pendicular pentagon perimeter perpen perpendicular plane MN polyedron prism PROBLEM proportional quadrilateral radius rectangle regular polygon Required the area rhombus right angled triangle right angles Bk segment side AC sides is called similar triangles Sine slant height sphere straight line suppose TABLE OF LOGARITHMS Tang tangent THEOREM three sides triangle ABC Trigonometry upper base vertex yards
Δημοφιλή αποσπάσματα
Σελίδα 10 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Σελίδα 54 - Two triangles of the same altitude are to each other as their bases ; and...
Σελίδα 95 - A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases.
Σελίδα 12 - Let ABC be a triangle, of which the side AC is greater than the side AB; the angle ABC shall be greater than the angle BCA.
Σελίδα 77 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 24 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 92 - ... or cylinder be cut by a plane parallel to the base, the section is a figure parallel and similar to the base. The one point a...
Σελίδα 135 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Σελίδα 145 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.
Σελίδα 23 - 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.