Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes & Burr, 1863 |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 23
... follows , that the hypothesis cannot be true . The former is called a direct , and the latter an indirect demonstration . THEOREM VIII . If two triangles have the three sides of the one equal to the three sides of the other , each to ...
... follows , that the hypothesis cannot be true . The former is called a direct , and the latter an indirect demonstration . THEOREM VIII . If two triangles have the three sides of the one equal to the three sides of the other , each to ...
Σελίδα 26
... follows that it must bo greater . THEOREM XII . If a straight line intersect two parallel lines , the alternate angles will be equal . A If two parallel straight lines , AB CD , are intersected by a third line GH , the angles AEF and ...
... follows that it must bo greater . THEOREM XII . If a straight line intersect two parallel lines , the alternate angles will be equal . A If two parallel straight lines , AB CD , are intersected by a third line GH , the angles AEF and ...
Σελίδα 28
... follows that the sum of BGH plus GHD , is also equal to two right angles . Cor . 1. Conversely , if one straight line meets two other straight lines , making the angles on the same side equal to each other , those lines will be parallel ...
... follows that the sum of BGH plus GHD , is also equal to two right angles . Cor . 1. Conversely , if one straight line meets two other straight lines , making the angles on the same side equal to each other , those lines will be parallel ...
Σελίδα 31
... follows that AD is greater than AC . Cor . A perpendicular is the shortest distance from a point to a line . THEOREM XIX . If two right angled triangles have the hypothenuse and a side of the one equal to the hypothenuse and a side of ...
... follows that AD is greater than AC . Cor . A perpendicular is the shortest distance from a point to a line . THEOREM XIX . If two right angled triangles have the hypothenuse and a side of the one equal to the hypothenuse and a side of ...
Σελίδα 32
... follows that the sum of the angles of both triangles is equal to four right angles . But the sum of the angles of ... follows that each angle is equal to one right angle . THEOREM XXI . The sum of all the interior angles of any polygon ...
... follows that the sum of the angles of both triangles is equal to four right angles . But the sum of the angles of ... follows that each angle is equal to one right angle . THEOREM XXI . The sum of all the interior angles of any polygon ...
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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.