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 SolutionsKibler, 1888 - 481 σελίδες |
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Σελίδα 44
... rods , into which the whole may be divided . Ans . 1 A. 21 p . 9. The product of the L. C. M. of three numbers by their G. C. D. = 864 , and the L. C. M. divided by the G. C. D. — 24 ; find the numbers . Ans . 12 , 18 , and 48 . CHAPTER ...
... rods , into which the whole may be divided . Ans . 1 A. 21 p . 9. The product of the L. C. M. of three numbers by their G. C. D. = 864 , and the L. C. M. divided by the G. C. D. — 24 ; find the numbers . Ans . 12 , 18 , and 48 . CHAPTER ...
Σελίδα 142
... rods long , 9 feet wide at the top , 5 feet wide at the bottom , and 6 feet deep ? 95 rods : 380 rods 24 days 18 days 12 hours : 8 hours 12 feet 9 feet 10 feet : 5 feet 9 feet 6 feet :: 24 men : ? = 12 men . 380X18X8X9X5 × 6 × 24 - -12 ...
... rods long , 9 feet wide at the top , 5 feet wide at the bottom , and 6 feet deep ? 95 rods : 380 rods 24 days 18 days 12 hours : 8 hours 12 feet 9 feet 10 feet : 5 feet 9 feet 6 feet :: 24 men : ? = 12 men . 380X18X8X9X5 × 6 × 24 - -12 ...
Σελίδα 144
... rods ahead of the dog . The dog runs 19 rods while the hare runs 17 ; how far must the dog run before he catches the hare ? 4. If 52 men can dig a trench 355 feet long , 60 feet wide , and 8 feet deep in 15 days , how long will a trench ...
... rods ahead of the dog . The dog runs 19 rods while the hare runs 17 ; how far must the dog run before he catches the hare ? 4. If 52 men can dig a trench 355 feet long , 60 feet wide , and 8 feet deep in 15 days , how long will a trench ...
Σελίδα 154
... rods distance the hound ran to catch the fox . 11.5 ... 560 rods , 6 . 7 . 8 . of 60 rods = 12 rods , and [ ahead . -2 times 12 rods 24 rods distance the fox was -3 times 12 rods = 36 rods = distance the fox ran be . fore he was caught ...
... rods distance the hound ran to catch the fox . 11.5 ... 560 rods , 6 . 7 . 8 . of 60 rods = 12 rods , and [ ahead . -2 times 12 rods 24 rods distance the fox was -3 times 12 rods = 36 rods = distance the fox ran be . fore he was caught ...
Σελίδα 155
... rods distance he ran before he was ca 36 rods distance he ran before he was caught . of 12 be 3 , what will of 40 be ? ( 1 . of 12-4 . 2. of 40-10 . By supposition II.3 . 4-3 . Then 4. 1 of 3 , and 5. 10-10 times = 7 . III . ..of 40-7 ...
... rods distance he ran before he was ca 36 rods distance he ran before he was caught . of 12 be 3 , what will of 40 be ? ( 1 . of 12-4 . 2. of 40-10 . By supposition II.3 . 4-3 . Then 4. 1 of 3 , and 5. 10-10 times = 7 . III . ..of 40-7 ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acres Algebra altitude amount annuity axis Benjamin Peirce cents chord circle circumference cone convex surface cost cows cube cubic curve cycloid cylinder Descartes diagonal diameter discount distance divided ellipse equal equation feet find the area find the length find the volume formula fraction frustum gain Geometry given hand moves past Hence horse hour hand hyperbola inches interest investment latus rectum linear side longitude lower base mathematicians mathematics method minute hand multiply nine-point circle o'clock orthocenter par value parabola parallel Peirce perpendicular plane polygon prismatoid Prob problem Professor proposition quotient radius ratio right angles rods Rule.-Multiply segment selling price senary similar triangles slant height sold solid solution sphere spherical square root straight line subtract Sylvester tangent theorem tion triangle Whence width yards
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 24 - Multiplication is the process of taking one number as many times as there are units in another.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 453 - He was awarded the Gold Medal of the Royal Astronomical Society in 1954.
Σελίδα 359 - The hour and minute hands of a watch are together at 12 o'clock ; when are they next together ? Ans.
Σελίδα 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.