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abstract according added algebraic analysis Analytical applicable apprehend Arithmetic axiom base belongs bounded called common compared conclusion connection considered contains corresponding curved deduced defined definition demonstration denomination denote described determination difference distance divided employed equal equation example exist explain expressed facts figure fixed follows foot four fractional Geometry give given greater Hence idea inches increased indicate individual inferred kind knowledge known language length less letters limits logical magnitudes marks mathematical means merely METER mind multiplied nature operations particular performed plane portion principles processes properties proportion proposition proved quantities ratio reasoning referred regarded relation represented respect result right angles scale sides similar space species square standard straight line subtraction surfaces symbols taken term thing tion triangles true truths unit of measure volumes weight whole yard
Página 115 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Página 39 - All definitions are of names, and of names only; but, in some definitions, it is clearly apparent, that nothing is intended except to explain the meaning of the word; while in others, besides explaining the meaning of the word, it is intended to be implied that there exists a thing, corresponding to the word.
Página 128 - The area of a rectangle is equal to the product of its base and altitude.
Página 123 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.
Página 122 - If two right-angled triangles have the hypothenuse and a side of the one, equal to the hypothenuse and a side of the other, each to each, the triangles are equal. Let...
Página 131 - Similar triangles are to each other as the squares of their homologous sides.
Página 163 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 107 - A Circle is a plane figure, bounded by a curved line, all the points of which are equally distant from a point within, called the cen- OOU-AJ i