# Elements of Geometry, Conic Sections, and Plane Trigonometry

Harper & Bros., 1877 - 436 уелЯдет
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УелЯдб 68 - Any two rectangles are to each other as the products of their bases by their altitudes.
УелЯдб 35 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
УелЯдб 187 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
УелЯдб 64 - BEC, taken together, are measured by half the circumference ; hence their sum is equal to two right angles.
УелЯдб 71 - 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.
УелЯдб 23 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
УелЯдб 20 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
УелЯдб 124 - The area of a circle is equal to the product of its circumference by half the radius.* Let ACDE be a circle whose centre is O and radius OA : then will area OA— ^OAxcirc.
УелЯдб 177 - THEOREM. The sum of the sides of a spherical polygon, is less than the circumference of a great circle. Let...
УелЯдб 27 - 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.