Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 páginas |
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Página iv
... Hence the first section treats of lines and their rela- tions . When we consider length and breadth together , or length in two ways , their representative is a surface . Hence the second section treats of surfaces . Lastly when we ...
... Hence the first section treats of lines and their rela- tions . When we consider length and breadth together , or length in two ways , their representative is a surface . Hence the second section treats of surfaces . Lastly when we ...
Página 19
... Hence the above is received as an axiom arising from the nature of a straight line . 7. SCHOLIUM . - How to measure straight lines and express them by numbers - Linear Units . Lines are measured , like all other quantities , by taking ...
... Hence the above is received as an axiom arising from the nature of a straight line . 7. SCHOLIUM . - How to measure straight lines and express them by numbers - Linear Units . Lines are measured , like all other quantities , by taking ...
Página 28
... greater or less than a right angle , which would contradict the supposition of its being perpen- dicular . Hence the proposition enunciated must be universally true . 29. PROBLEM . - To find the centre of a 28 ELEMENTS OF GEOMETRY .
... greater or less than a right angle , which would contradict the supposition of its being perpen- dicular . Hence the proposition enunciated must be universally true . 29. PROBLEM . - To find the centre of a 28 ELEMENTS OF GEOMETRY .
Página 32
... Hence E F is perpendic- ular to C D , which was the first thing to be demonstra- ted . 2. The second part hardly needs demonstration , but it can be demonstrated as follows . If A B and C D are perpendicular to E F , we say they are ...
... Hence E F is perpendic- ular to C D , which was the first thing to be demonstra- ted . 2. The second part hardly needs demonstration , but it can be demonstrated as follows . If A B and C D are perpendicular to E F , we say they are ...
Página 33
... Hence E F G H. SCHOL . - This proposition explains the nature of an instrument , by which parallel lines are drawn with much greater facility than by the process described in the preceding article . Let A B and C D represent two ...
... Hence E F G H. SCHOL . - This proposition explains the nature of an instrument , by which parallel lines are drawn with much greater facility than by the process described in the preceding article . Let A B and C D represent two ...
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.