Elements of Geometry and Trigonometry: With Applications in Mensuration

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A.S. Barnes & Burr, 1863

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Σελίδα 18 - 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 64 - Two triangles of the same altitude are to each other as their bases ; and...
Σελίδα 107 - A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases.
Σελίδα 20 - 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 89 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 36 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 104 - ... 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 141 - 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 167 - 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 35 - 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.

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