Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 sider |
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Resultat 1-5 av 41
Side iv
... circumference of a cir- cle to its diameter : also several of the properties of a triangle by inscribing it in a circle . The division of the work into three sections , is founded in the nature of the subject . Extension , or the space ...
... circumference of a cir- cle to its diameter : also several of the properties of a triangle by inscribing it in a circle . The division of the work into three sections , is founded in the nature of the subject . Extension , or the space ...
Side vi
... circumference Planes and their angles · 53 SECTION THIRD . - SOLIDS . 57 Page Page Polyedron Prism Pyramid Cylinder Cone Sphere Surface of polyedrons · 57 Solidity of polyedrons 61 58 Solidity of a prism - 65 - 58 Solidity of a pyramid ...
... circumference Planes and their angles · 53 SECTION THIRD . - SOLIDS . 57 Page Page Polyedron Prism Pyramid Cylinder Cone Sphere Surface of polyedrons · 57 Solidity of polyedrons 61 58 Solidity of a prism - 65 - 58 Solidity of a pyramid ...
Side ix
... circumference of the circle to its diameter . He demonstrated that , calling the diameter 1 , the circumference is between 30 and 35 and the principles laid down by him in this demonstration , have formed the basis of all succeeding ...
... circumference of the circle to its diameter . He demonstrated that , calling the diameter 1 , the circumference is between 30 and 35 and the principles laid down by him in this demonstration , have formed the basis of all succeeding ...
Side xii
... circumference to the di- ameter . It was also employed by Ludolph Van Ceuben , a Dutch geometer contemporary with Cavalleri for the same purpose . This man had the patience to carry the approximation to 36 figures . Another contemporary ...
... circumference to the di- ameter . It was also employed by Ludolph Van Ceuben , a Dutch geometer contemporary with Cavalleri for the same purpose . This man had the patience to carry the approximation to 36 figures . Another contemporary ...
Side 5
... circumference of a circle . Suppose the straight line A B ( fig . 5 ) , having the point A fixed , to F 5 turn as upon a pivot about this point , till , having perform- ed a complete rotation , it returns to its first position . We must ...
... circumference of a circle . Suppose the straight line A B ( fig . 5 ) , having the point A fixed , to F 5 turn as upon a pivot about this point , till , having perform- ed a complete rotation , it returns to its first position . We must ...
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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...