Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 páginas |
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Página 17
... namely length , without any breadth or thick- ness . But as such a line could not be represented to the eye , it is sufficiently near the truth to say - -a line · F1 F1 has length with only an infinitely small breadth 3 ELEMENTS OF ...
... namely length , without any breadth or thick- ness . But as such a line could not be represented to the eye , it is sufficiently near the truth to say - -a line · F1 F1 has length with only an infinitely small breadth 3 ELEMENTS OF ...
Página 20
... namely 3 to 1. That is A B would be 3 times as great as C D. But we find upon trial that CD is contained in A B twice and E B over . There- fore C D is not a common measure . We next apply the remainder E B to C D and find that it is ...
... namely 3 to 1. That is A B would be 3 times as great as C D. But we find upon trial that CD is contained in A B twice and E B over . There- fore C D is not a common measure . We next apply the remainder E B to C D and find that it is ...
Página 22
... namely if two chords as DG and DF are equal , their arcs are equal . If the chord D G be applied to D F , as they are by hypothesis or supposition equal , the point G must fall upon F. Then the arcs DG and D F , belonging to the same ...
... namely if two chords as DG and DF are equal , their arcs are equal . If the chord D G be applied to D F , as they are by hypothesis or supposition equal , the point G must fall upon F. Then the arcs DG and D F , belonging to the same ...
Página 23
... namely , to the whole circumference of which it is a part , and not to any other . As we some- times have occasion for an unit less than a degree , each degree is divided into 60 equal parts called minutes and marked thus ( ' ) . Again ...
... namely , to the whole circumference of which it is a part , and not to any other . As we some- times have occasion for an unit less than a degree , each degree is divided into 60 equal parts called minutes and marked thus ( ' ) . Again ...
Página 26
... namely , a quadrant . Lastly , all the angles which can be formed at the point A are equal to 4 right angles , because they have for their measure an entire circumference or 360 ° . F 9 21. DEF . - The complement of an angle is the dif ...
... namely , a quadrant . Lastly , all the angles which can be formed at the point A are equal to 4 right angles , because they have for their measure an entire circumference or 360 ° . F 9 21. DEF . - The complement of an angle is the dif ...
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.