Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 páginas |
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Página 23
... divided . It often becomes necessary to compare an arc with an entire circumference or with another arc of the same circumference . For this purpose every circum- ference is supposed to be divided into 360 equal arcs called degrees and ...
... divided . It often becomes necessary to compare an arc with an entire circumference or with another arc of the same circumference . For this purpose every circum- ference is supposed to be divided into 360 equal arcs called degrees and ...
Página 25
... divided into degrees , and which is usually found in cases of mathematical instruments . If , for example , we wish to make an angle D ( fig . 8 ) equal to 40 ° , we apply the diameter of the protractor to the straight line D F , so as ...
... divided into degrees , and which is usually found in cases of mathematical instruments . If , for example , we wish to make an angle D ( fig . 8 ) equal to 40 ° , we apply the diameter of the protractor to the straight line D F , so as ...
Página 36
... divided into several triangles , or reduced to one equivalent triangle . 45. THEOREM . - Every triangle may be inscribed in a circle . A triangle is said to be inscribed in a cir- cle when it has its three vertices in the circumference ...
... divided into several triangles , or reduced to one equivalent triangle . 45. THEOREM . - Every triangle may be inscribed in a circle . A triangle is said to be inscribed in a cir- cle when it has its three vertices in the circumference ...
Página 42
... divided by the same number , with- out destroying the proportion . For ratios are frac- tions , and to multiply or divide the numerator and denominator of a fraction by the same number does not alter its value . Thus from the ...
... divided by the same number , with- out destroying the proportion . For ratios are frac- tions , and to multiply or divide the numerator and denominator of a fraction by the same number does not alter its value . Thus from the ...
Página 43
... divided proportionally at the points D and E ; and we shall have the proportion AB AD :: AC : A E. DEM . 1. - First we say that if A P ( fig . 36 ) be divided 36 into equal parts , and if lines be drawn through the points of division ...
... divided proportionally at the points D and E ; and we shall have the proportion AB AD :: AC : A E. DEM . 1. - First we say that if A P ( fig . 36 ) be divided 36 into equal parts , and if lines be drawn through the points of division ...
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.