## Scientific and practical geometry for self-instruction |

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abcd according added adopted altitude application ascertained axis base bisect centre chord circle circumference common complete consequently construction contain continued contour convert corresponding cutting deduction demonstration diagonal diameter direction distance divided division double draw line drawn ellipse entire equal equal sides equivalent Euclid example figure four geometrical give given greater half height hypothenuse inches join latter length less line ax mark mean measure mode multiplied oblique operations opposed angle opposite parallel parallelogram passing perpendicular placed portion practical proof proportion proposition radius ratio rectangle regards remarks respectively result right angles right line rule secant Sect segment semicircle shown side ac similar simple square student summit surface taken taking tangent term third triangle

### Popular passages

Page 14 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...

Page 8 - 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.

Page 7 - A circle is a plane figure bounded by a curved line called the circumference, every point of which is equally distant from a point within called the center, Fig.

Page 96 - Any two sides of a triangle are together greater than the third side.

Page 73 - Parallelograms on the same base, and between the same parallels, are equal to one another.

Page 278 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 14 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.

Page 266 - A sphere is a solid, bounded by a curved surface, every part of which is equally distant from a point within, called the centre.

Page 45 - From a given point without a line, to draw a perpendicular to that line. Let AB be the given line, and C the given point. From C draw any oblique line, as Cn.

Page 9 - The sign, + , which is read plus, indicates that the numbers between which it is placed are to be added ; thus, 6 + 4, means, that 4 is to be added to 6.