Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 páginas |
Dentro del libro
Resultados 1-5 de 41
Página 59
... altitude . By the altitude of a parallelogram we mean a perpen- dicular let fall from one side to another parallel side . By the base we mean the side upon which the perpen- dicular falls . Thus E F ( fig . 50 ) is the altitude , and AD ...
... altitude . By the altitude of a parallelogram we mean a perpen- dicular let fall from one side to another parallel side . By the base we mean the side upon which the perpen- dicular falls . Thus E F ( fig . 50 ) is the altitude , and AD ...
Página 60
... altitude . COR . - The area of a square is found by multiplying one of its sides by itself . For by the definition , the base and altitude are the same . And hence the origin of the term square as used in arithmetic and algebra , to ...
... altitude . COR . - The area of a square is found by multiplying one of its sides by itself . For by the definition , the base and altitude are the same . And hence the origin of the term square as used in arithmetic and algebra , to ...
Página 61
... altitude BE . We say they are equivalent . DEM . - The right triangle A F D B E C ( 59 ) , since A F B E and A D B C ... altitude . By the altitude of a triangle we mean a perpendicular let fall from one of the vertices to the opposite ...
... altitude BE . We say they are equivalent . DEM . - The right triangle A F D B E C ( 59 ) , since A F B E and A D B C ... altitude . By the altitude of a triangle we mean a perpendicular let fall from one of the vertices to the opposite ...
Página 62
... altitude the radius N P of the inscribed circle , and the sum of their bases B C + CD + D E , + & c . is the perimeter of the polygon . Therefore , adding their measures ( 102 ) , we have for the area of the polygon its perimeter ...
... altitude the radius N P of the inscribed circle , and the sum of their bases B C + CD + D E , + & c . is the perimeter of the polygon . Therefore , adding their measures ( 102 ) , we have for the area of the polygon its perimeter ...
Página 64
... altitude equal to a given line . Let C ( fig . 73 ) be the given square and A B the given line . SOL . - On A B as a diameter describe a semicircle . At A erect a perpendicular A D and make it equal to the side of the given square ...
... altitude equal to a given line . Let C ( fig . 73 ) be the given square and A B the given line . SOL . - On A B as a diameter describe a semicircle . At A erect a perpendicular A D and make it equal to the side of the given square ...
Otras ediciones - Ver todas
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Sin vista previa disponible - 2023 |
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Sin vista previa disponible - 2019 |
Términos y frases comunes
A B C D A B fig adjacent angles angles are equal axis B A C base and altitude base multiplied bisect called centre chord circ circumference coincide contain convex surface cube cylinder definition demonstrated diameter divided draw equally distant equivalent found by multiplying frustum geometry given line given square greater half the arc Hence homologous sides hypothenuse inches infinite number infinitely small inscribed angles inscribed circle line A B line drawn linear unit mean proportional number of sides parallel sides parallelopiped perim perpendicular polyedrons preceding proposition proved pyramid radii radius regular polygon right angles right parallelogram right triangle semicircumference similar triangles solid angles sphere square feet straight line suppose tangent THEOREM.-The solidity tion trapezoid triangle A B C triangles are equal triangular prism vertex vertices
Pasajes populares
Página 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...
Página 48 - 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'.
Página 63 - The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides.
Página ii - ... and also to an Act, entitled, " An Act- supplementary to an Act, entitled, ' An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the limes therein mentioned ;' and extending the benefits thereof to the arts of designing, engraving, and etching historical, and other prints.
Página 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 less than two right angles...
Página xv - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 41 - In any proportion, the product of the means is equal to the product of the extremes.
Página xiv - Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another.
Página 42 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Página xiv - Things which are halves of the same are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another.