Elementary Geometry: With Applications in Mensuration

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A. S. Barnes & Company, 1850 - 216 من الصفحات
 

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الصفحة 97 - 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.
الصفحة 24 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
الصفحة 12 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
الصفحة 59 - 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.
الصفحة 131 - If a cone be cut by a plane parallel to the base, the section will be a circle.
الصفحة 91 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
الصفحة 174 - To find the area of a trapezoid. RULE. Multiply the sum of the parallel sides by the perpendicular distance between them, and then divide the product by two : the quotient will be the area (Bk.
الصفحة 34 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.
الصفحة 90 - Two triangles of the same altitude are to each other as their bases ; and...
الصفحة 33 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

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