# A Mathematical Solution Book Containing Systematic Solutions to Many of the Most Difficult Problems: Taken from the Leading Authors on Arithmetic and Algebra, Many Problems and Solutions from Geometry, Trigonometry and Calculus, Many Problems and Solutions from the Leading Mathematical Journals of the United States, and Many Original Problems and Solutions

Kibler, 1888 - Mathematics - 481 pages

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### Contents

 56 22 Addition defined 22 Examples 23 The International Date Line 3637 36 CHAPTER IX 42 CHAPTER X 44 CHAPTER XI 53 Solutions 68 Profit and Loss 77
 CHAPTER XIX 187 Rectification of Plane 210 Conic Sections 223 Spheroid 276 Conoids 282 Regular Solids 290 PAGE 355 GEOMETRY 366

 Simple Interest 103 CHAPTER XIV 115 116125 123 CHAPTER XVI 139 Analysis defined 147
 Axioms 384 General Axioms 388 Definitions 419 Biography of Prof William Hoover 434 Copyright

### Popular passages

Page 378 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Page 24 - Multiplication is the process of taking one number as many times as there are units in another.
Page 410 - Two triangles which have an angle of the one equal to an angle of the other may be placed with their equal angles in coincidence. Let ABC, ADE, be the two triangles having the common angle A ; then, ABC AB X AC...
Page 474 - And you, ye undevelopable scrolls ! Above the host wave your emblazoned rolls, Ruled for the record of his bright inventions. Ye Cubic surfaces ! by threes and nines Draw round his camp your seven-and-twenty lines — The seal of Solomon in three dimensions.
Page 196 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 453 - Dimensions," in which he shows, for instance, that if a fourth dimension were added to space, a closed material surface (or shell) could be turned inside out by simple flexure without either stretching or tearing.
Page 371 - Now the mathematics are peculiarly well adapted for this purpose, on the following grounds : 1. Every term is distinctly explained, and has but one meaning, and it is rarely that two words are employed to mean the same thing. 2. The first principles are self-evident, and, though derived from observation, do not require more of it than has been made by children in general. 3. The demonstration is strictly logical, taking nothing for granted except the self-evident first principles, resting nothing...
Page 453 - He was awarded the Gold Medal of the Royal Astronomical Society in 1954.
Page 359 - The hour and minute hands of a watch are together at 12 o'clock ; when are they next together ? Ans.
Page 453 - Elementary Theorems Relating to the Geometry of a Space of Three Dimensions and of Uniform Positive Curvature in the Fourth Dimension," published in Borchardt's Journal, Bd.