## The Elements of Geometry |

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### Common terms and phrases

altitude base bisector bisects called chord circle circular circumference common Conc concur cone congruent Const construct conversely corresponding cylinder DEFINITIONS determine diagonals diameter distance divided Draw drawn edge equal equidistant equilateral exterior faces figure Find formed four frustum geometry given line given point greater GROUP half hexagon hypotenuse inscribed interior angles intersect join lateral length limit line-segment locus mean measured median n-gon NOTE opposite parallel parallelepiped parallelogram pass perimeter perpendicular placed plane plane MQ polygon prism PROB PROBLEM projection proof proportional PROPOSITIONS Prove pyramid radii radius ratio rectangle regular respectively right angles right triangle segment Show sides similar Similarly sphere spherical square straight line supplemental surface tangent theorem third triangle vertex angle vertices volume

### Popular passages

Page 232 - The projection of a point on a plane is the foot of the perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane. Thus, A'B' represents the projection of AB upon plane MN.

Page 66 - The difference between any two sides of a triangle is less than the third side.

Page 108 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 111 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.

Page 102 - In any proportion, the product of the means equals the product of the extremes.

Page 8 - 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 280 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes intersecting this surface.

Page 177 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.

Page 208 - The center of a regular polygon is the common center of the circumscribed and inscribed circles of the polygon.

Page 231 - A PLANE is a surface, such, that if any two of its points be joined by a straight line, such.