Elements of Geometry and Trigonometry: With Applications in MensurationA.S. Barnes & Burr, 1863 |
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Αποτελέσματα 1 - 5 από τα 29.
Σελίδα 83
... equivalent to . THEOREM I. Parallelograms which have equal bases and equal altitudes , are equivalent . Place the base of one parallel- ogram on that of the other , so that AB shall be the common base of the two parallelograms ABCD and ...
... equivalent to . THEOREM I. Parallelograms which have equal bases and equal altitudes , are equivalent . Place the base of one parallel- ogram on that of the other , so that AB shall be the common base of the two parallelograms ABCD and ...
Σελίδα 84
... equivalent . THEOREM II . Triangles which have equal bases and equal altitudes , aro equivalent . Place the base of one triangle F on that of the other , so that ABC DE and ABD shall be two trian- gles , having a common base AB , and ...
... equivalent . THEOREM II . Triangles which have equal bases and equal altitudes , aro equivalent . Place the base of one triangle F on that of the other , so that ABC DE and ABD shall be two trian- gles , having a common base AB , and ...
Σελίδα 85
... equivalent ( Th . i ) . But the triangle ABC is half the parallelogram BE ( Bk . I. ' Th . xxiii ) ; and ABD is half the equal parallelogram BF . hence , the triangle ABC is equivalent to the triangle ABD . THEOREM III . If a triangle ...
... equivalent ( Th . i ) . But the triangle ABC is half the parallelogram BE ( Bk . I. ' Th . xxiii ) ; and ABD is half the equal parallelogram BF . hence , the triangle ABC is equivalent to the triangle ABD . THEOREM III . If a triangle ...
Σελίδα 86
... equivalent . Let BD and FH be two rectangles , having the sides AB , BC , equal to the two sides EF , FG , each to each : then will the rectangle ABCD , described on the lines AB , RC , be equivalent to the rectangle EFGH , described on ...
... equivalent . Let BD and FH be two rectangles , having the sides AB , BC , equal to the two sides EF , FG , each to each : then will the rectangle ABCD , described on the lines AB , RC , be equivalent to the rectangle EFGH , described on ...
Σελίδα 87
... equivalent to each other since they have equal bases and equal altitudes ( Th . iv ) . But the rectangle AEFD will contain four of these partial rectangles , while the rectangle EBCF will contain three ; hence , the rectangle AEFD will ...
... equivalent to each other since they have equal bases and equal altitudes ( Th . iv ) . But the rectangle AEFD will contain four of these partial rectangles , while the rectangle EBCF will contain three ; hence , the rectangle AEFD will ...
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.