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ABC is equal ABCD angle ABC angle ACB angle BAC angles equal applied base base BC called centre circle coincide Consider the triangles Construction describe diagonal diagram difference direction distance equal in area equal respectively equal to CD equidistant equilateral triangle EXAMPLES exterior angle extremities fall figure finite straight line four geometrical given angle given finite straight given point given straight line greater half included angle indicate intersect isosceles triangle length less Let ABC line joining meet middle point moves opposite sides pair parallel parallelogram perpendicular plane portion position produced Proof Prop Proposition q.e.d. EXAMPLES quadrilateral Question radius represent required to prove right angles Shew side BC sides equal solid space square straight angle surface taken triangle ABC triangles are equal turning twice Wherefore
Página 28 - 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.
Página 48 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.
Página 155 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Página 118 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Página 153 - ... is equal to the sum of the areas of the squares on the other two sides.
Página 114 - 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.
Página 139 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Página 125 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.