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ABC is equal adjacent angles alternate angles angle ABC angle ACB angle BAC angle BCD angle contained angle EDF angle EGB angle GHD angles BGH angles CBA angles equal base DF bisect centre cloth coincide Const Construction.—Join describe the circle diagonal equal sides equal to AC equal triangles equilateral triangle exterior angle Fcap four right angles GHD Ax given point given rectilineal angle given straight line given triangle Henry Evers interior and opposite isosceles triangle join Let ABC LL.D meet opposite angles opposite sides parallel straight lines parallel to BC parallelogram ABCD perpendicular Post 8vo Proof.—Because Q. E. D. Proposition rectilineal figure remaining angle right angles Ax side BC sides are opposite sides equal square described straight line BC third angle trapezium triangle ABC triangle DEF WILLIAM COLLINS
Pàgina 23 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Pàgina 43 - Parallelograms upon the same base, and between the same parallels, are equal to one another.
Pàgina 15 - The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the straight lines AB, AC...
Pàgina 11 - Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another.
Pàgina 37 - 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...
Pàgina 41 - ... together with four right angles, are equal to twice as many right angles as the figure has sides.
Pàgina 15 - J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
Pàgina 55 - IF the square described upon one of 'the sides of a triangle be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.