Practical Plane and Solid Geometry, Including Graphic Arithmetic

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Longmans, Green, and Company, 1890 - Geometry, Plane - 260 pages

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Page 16 - The circumference of every circle is supposed to be divided into...
Page 48 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Page 48 - If a straight line touch a circle, the straight line drawn from the centre to the point of contact shall be perpendicular to the line touching the circle.
Page 62 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram shall be double of the triangle.
Page 73 - A sphere is generated by the revolution of a semicircle about its diameter ; every part of its surface is equally distant from the centre.
Page 48 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Page 62 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.
Page 113 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 63 - To construct a triangle equal in area to a given triangle and having one of its sides equal to a given straight line.
Page 46 - To describe a circle which shall pass through two given points and touch a given circle.

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