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ABC is equal alternate angles angle ABC angle ACB angle BAC angle BCD angle EDF angles BGH angles CBE angles equal APPLIED base BC bisect centre cloth coincide common Const CONSTRUCTION describe diagonal Divide double draw equal to BC exterior angle extremity Fcap figure given point given straight line Glasgow greater half Illustrated interior and opposite isosceles triangle join length less Let ABC LL.D London Maps meet opposite angles opposite sides parallel parallel to BC parallelogram parallelogram ABCD perpendicular Plates Post 8vo Problem produced Professor PROOF PROOF.—Because Proposition proved respectively right angles right angles Ax Schools Science shown side BC sides sides equal square Text things triangle ABC triangle DEF unequal whole
Side 21 - 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.
Side 41 - Parallelograms upon the same base, and between the same parallels, are equal to one another.
Side 13 - 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...
Side 9 - 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.
Side 35 - 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...
Side 39 - ... together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 13 - 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.
Side 53 - 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.