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 12
... quotient of two direct lines in space , considered as depending on a system of four geometrical elements , and as ex- pressed by an algebraic symbol of quadrinominal form . 12. Platonic Geometry is that branch of geometry in which the ...
... quotient of two direct lines in space , considered as depending on a system of four geometrical elements , and as ex- pressed by an algebraic symbol of quadrinominal form . 12. Platonic Geometry is that branch of geometry in which the ...
Σελίδα 18
... quotient without its dividend being the product of the divisor and any number yet defined , with a meaning such that we shall be able to reckon with such apparent quotient as with ordinary quotients . This is done by agreeing always to ...
... quotient without its dividend being the product of the divisor and any number yet defined , with a meaning such that we shall be able to reckon with such apparent quotient as with ordinary quotients . This is done by agreeing always to ...
Σελίδα 26
... Quotient 81864 excess of 9's = 0 Excess of 9's Divisor 67 excess of 9's = 4 in this product equals 0 . Explanation ... quotient and dividing the sum by 9 , we have the remainder 0 , which is the excess of the 9's in the quotient . Adding ...
... Quotient 81864 excess of 9's = 0 Excess of 9's Divisor 67 excess of 9's = 4 in this product equals 0 . Explanation ... quotient and dividing the sum by 9 , we have the remainder 0 , which is the excess of the 9's in the quotient . Adding ...
Σελίδα 27
... quotient is abstract ; but when of different denomina- tions , the divisor is abstract and the quotient is the same as the dividend . Thus , 24 ct . 4ct . 6 , and 24 ct . 46 ct . - Remark . We begin at the left to divide , that after ...
... quotient is abstract ; but when of different denomina- tions , the divisor is abstract and the quotient is the same as the dividend . Thus , 24 ct . 4ct . 6 , and 24 ct . 46 ct . - Remark . We begin at the left to divide , that after ...
Σελίδα 30
... quotient is the number of cycles , and the remainder is the year of the cycle . Should there be no remainder the proposed year is the twenty - eighth , or last of the cycle . The formula for the above x + 91 rule is in which x denotes ...
... quotient is the number of cycles , and the remainder is the year of the cycle . Should there be no remainder the proposed year is the twenty - eighth , or last of the cycle . The formula for the above x + 91 rule is in which x denotes ...
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.