Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Página iii
... divided lines 6. Relations of the sides of triangles 7. Problems Page vii 4 11 15 19 21 24 BOOK II . Section 1. Ratios of commensurable magnitudes 2. Proportion of commensurable magnitudes 3. The general theory of proportion 31 37 48 4 ...
... divided lines 6. Relations of the sides of triangles 7. Problems Page vii 4 11 15 19 21 24 BOOK II . Section 1. Ratios of commensurable magnitudes 2. Proportion of commensurable magnitudes 3. The general theory of proportion 31 37 48 4 ...
Página 13
... , & c . Cor . Hence it appears that the qua- drilaterals into which the parallelogram ABCD is divided in def . 23. , by lines drawn parallel to two adjacent sides , PROP . 20. ( EUC . i . 32. Corr I. § 3. ] 13 GEOMETRY . 53 XI iv 30 51 31.
... , & c . Cor . Hence it appears that the qua- drilaterals into which the parallelogram ABCD is divided in def . 23. , by lines drawn parallel to two adjacent sides , PROP . 20. ( EUC . i . 32. Corr I. § 3. ] 13 GEOMETRY . 53 XI iv 30 51 31.
Página 14
... divided into parts equal respectively to the two acute into two isosceles triangles . And , in angles , the triangle will be divided ( 6. ) the converse , the triangle being made up of two isosceles triangles , one of its angles is ...
... divided into parts equal respectively to the two acute into two isosceles triangles . And , in angles , the triangle will be divided ( 6. ) the converse , the triangle being made up of two isosceles triangles , one of its angles is ...
Página 16
... divided are equal to one another . Cor . 2. The diagonals of a rhombus bisect one another at right angles . For the triangles into which it is divided by either of its diagonals are isosceles tri- angles , of which that diagonal is the ...
... divided are equal to one another . Cor . 2. The diagonals of a rhombus bisect one another at right angles . For the triangles into which it is divided by either of its diagonals are isosceles tri- angles , of which that diagonal is the ...
Página 18
... divided into triangles ; and every triangle , being equal ( 26. Cor . ) to half the rectangle under its base and altitude , contains half as many square units as is denoted by the product of the numbers which express how often the ...
... divided into triangles ; and every triangle , being equal ( 26. Cor . ) to half the rectangle under its base and altitude , contains half as many square units as is denoted by the product of the numbers which express how often the ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Vista completa - 1835 |
Términos y frases comunes
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical