## Elements of Plane Geometry, Part 1 |

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ABCD AC and CB alternate angles altitude angle ABC angle ACB antecedent base bisect BOOK centre chord circle circumference common consequent const construct demonstrated describe diagonal diameter difference distance divided double draw equal equal Prop equiangular equilateral triangle exterior angle extremities fall feet figure Find the area formed four Geometry given line given point gles greater Hence hypothenuse inches included angle inscribed interior intersect Join join the points length less magnitudes manner means measured by half meet multiply opposite angle opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Prop proportional PROPOSITION Prove quadrilateral radius ratio remain right angles right-angled triangle segment sides similar square straight line student taken tangent third three sides triangle ABC whole

### Popular passages

Page 48 - 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 are equal in all respects.

Page 26 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.

Page 46 - 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.

Page 45 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.

Page 63 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...

Page 64 - 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.

Page 114 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.

Page 57 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.

Page 57 - Parallelograms upon the same base and between the same parallels, are equal to one another.

Page 69 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.