Outlines of Mathematical Science for the School Room |
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abstract numbers abstract unit ACD plus DCB adjacent angles algebraic algebraic quantity analysis Analytical Geometry angle ACE apprehend Arithmetic base called common term compared conclusion connection copula curved surfaces DCB equals deduced denominate numbers denote difference divided DRY MEASURE employed equation example expressed facts foot fractional units genus geometrical magnitudes Hence idea inches indicate individual inferred Integral Calculus kind knowledge known unit language laws logical Major Premise mathematical science means merely meter Metric System mind minus sign multiplied negative demonstration Number and Space operations parallelogram points portions of space principles processes properties proportion proposition proved quadrilaterals quantities quotient ratio reasoning rectangle relation rhombus right angles right-angled triangle scale of tens signification species square described standard straight line subtraction subtrahend syllogism symbols taken tion Troy Weight true unit of length unit of measure volume weight words defined yard zero and infinity
Popular passages
Page 117 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 125 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 41 - 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.
Page 130 - The area of a rectangle is equal to the product of its base and altitude.
Page 125 - 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.
Page 124 - 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...
Page 133 - Similar triangles are to each other as the squares of their homologous sides.
Page 165 - 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.
Page 109 - 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
Page 104 - D' 125. A PROPORTION is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios...