Elements of Geometry: With Practical Applications, for the Use of Schools |
From inside the book
Results 1-5 of 36
Page xii
... given him . This his father refused , because he was yet only twelve years old , and it was not consistent with the plan marked out for his education , that he should com- mence the study of mathematics so young . But Pascal was not to ...
... given him . This his father refused , because he was yet only twelve years old , and it was not consistent with the plan marked out for his education , that he should com- mence the study of mathematics so young . But Pascal was not to ...
Page 2
... given as A ( fig . 10 ) it is obvious that any number of straight lines may be drawn through it as in the figure , for the rule may be placed so as to have the point A coincide with its edge , and may then be turned round so as to have ...
... given as A ( fig . 10 ) it is obvious that any number of straight lines may be drawn through it as in the figure , for the rule may be placed so as to have the point A coincide with its edge , and may then be turned round so as to have ...
Page 3
... given line as A B ( fig . 1 ) , we say the measure of A B is 9 inches . Since F 1 then the value of straight lines can be expressed in abstract numbers , and since abstract numbers are the object of arithmetic , it is obvious that the ...
... given line as A B ( fig . 1 ) , we say the measure of A B is 9 inches . Since F 1 then the value of straight lines can be expressed in abstract numbers , and since abstract numbers are the object of arithmetic , it is obvious that the ...
Page 7
... given to make another equal to it- But it will be proper first to remark that the instrument used in making arcs and measuring them is called a com- pass or more generally compasses . Being very common we shall not describe it . If the ...
... given to make another equal to it- But it will be proper first to remark that the instrument used in making arcs and measuring them is called a com- pass or more generally compasses . Being very common we shall not describe it . If the ...
Page 8
... given angle , it is only necessary to make the arc which measures it equal to that which measures the given angle . But here it is to be observed that the two arcs must be described with the same radius ; other- wise we could not make ...
... given angle , it is only necessary to make the arc which measures it equal to that which measures the given angle . But here it is to be observed that the two arcs must be described with the same radius ; other- wise we could not make ...
Other editions - View all
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker No preview available - 2023 |
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker No preview available - 2019 |
Common terms and phrases
A B C D A B fig adjacent angles axis B A C base and altitude base multiplied bisect called centre chord circ circumference coincide convex surface cube cylinder D E F demonstrated diameter divided draw equally distant equivalent found by multiplying frustum geometry given line gles height Hence homologous sides hundredths inches infinite number infinitely small inscribed angles inscribed circle inscribed sphere intersection line A B line drawn linear unit mean proportional method of Exhaustions number of sides parallel sides perimeter perpendicular polyedrons preceding proposition proved pyramid radii radius ratio regular polygon rence right angle right parallelogram right parallelopiped right triangle semicircumference similar triangles solid angles sphere square feet straight line Suppose tangent tion trapezoid triangles A B C triangles are equal triangular prism vertex vertices
Popular passages
Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Page xiv - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Page 30 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Page xiv - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 25 - In any proportion, the product of the means is equal to the product of the extremes.
Page 38 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Page 25 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Page xiv - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Page 42 - The area of a trapezoid is equal to the product of its altitude, by half the sum of its parallel bases.
Page xiv - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together lesi than two right angles...