Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 sider |
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Side xi
... less cumbrous and circuitous . To explain what is meant by the method of exhaustions , we will describe its application to a particular case . Suppose it were required to find the area of a circle . For this purpose , a polygon is ...
... less cumbrous and circuitous . To explain what is meant by the method of exhaustions , we will describe its application to a particular case . Suppose it were required to find the area of a circle . For this purpose , a polygon is ...
Side xii
... less and the other greater than that of the circle . Thus two limits are fixed , within which the area sought must be contained ; and these limits may be constantly brought nearer together , by increasing the sides of the two polygons ...
... less and the other greater than that of the circle . Thus two limits are fixed , within which the area sought must be contained ; and these limits may be constantly brought nearer together , by increasing the sides of the two polygons ...
Side xiv
... less than two right angles , these straight lines be- ing continually produced , shall at length meet upon that side upon which are the angles which are less than two right angles . The last of these has been added by Euclid's Commen ...
... less than two right angles , these straight lines be- ing continually produced , shall at length meet upon that side upon which are the angles which are less than two right angles . The last of these has been added by Euclid's Commen ...
Side 7
... less than a degree , each degree is divided into 60 equal parts called minutes and marked thus ( ' ) . Again each minute is divid- ed into 60 equal parts called seconds and marked thus ( " ) . When extreme minuteness is required the ...
... less than a degree , each degree is divided into 60 equal parts called minutes and marked thus ( ' ) . Again each minute is divid- ed into 60 equal parts called seconds and marked thus ( " ) . When extreme minuteness is required the ...
Side 9
... less than a right angle— . An obtuse angle is greater than a right angle― . 20. It follows from the definition that a right angle has for its measure a quadrant or 90 ° - . For as the adjacent angles D A C , D A B ( fig . 10 ) are equal ...
... less than a right angle— . An obtuse angle is greater than a right angle― . 20. It follows from the definition that a right angle has for its measure a quadrant or 90 ° - . For as the adjacent angles D A C , D A B ( fig . 10 ) are equal ...
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Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Uten tilgangsbegrensning - 1829 |
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Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Ingen forhåndsvisning tilgjengelig - 2019 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side xiv - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Side 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'.
Side xiv - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 25 - In any proportion, the product of the means is equal to the product of the extremes.
Side 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.
Side 25 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Side 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.
Side 42 - The area of a trapezoid is equal to the product of its altitude, by half the sum of its parallel bases.
Side 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...