# Outlines of Mathematical Science for the School Room

A. S. Barnes & Company, 1867 - Mathematics - 168 pages

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### Contents

 LOGIC OF MATHEMATICS 15 Classification 22 Deduction 32 SECTION II 39 Language of Mathematics 45 SECTION III 52 General Reading 7679 55 Spelling and Reading in Multiplication 61
 General Remarks 107 Units of Volume 111114 111 Marks of what may be Proved 114 DemonstrationIts Nature 124 NamingMeasurement of Length 125 Comparison of Volumes 131 LinesStraight and Curved 147 132 SECTION V 137

 Liquid Measure 81 Spelling and Reading in Division peiling and reading in Division 83 Weights 86 ScalesUniform and Varying 89 FRACTIONAL UNITS 91 Fractional Units in General 94 Abstract Units Defined 96 96 SECTION IV 101 Units of Time 105
 191 143 SECTION VI 146 SurfacesPlain and Curved 148 DivisionIts Signs 204 152 VolumesDifferent kinds 154 217221 160 General Properties 195196 164 Properties of Figures 165

### Popular passages

Page 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.
Page 123 - 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 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.
Page 128 - The area of a rectangle is equal to the product of its base and altitude.
Page 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.
Page 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...
Page 131 - Similar triangles are to each other as the squares of their homologous sides.
Page 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.
Page 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
Page 102 - 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...