Euclidian Geometry |
Inni boken
Resultat 1-5 av 19
Side vi
... ratio and compound ratio have been relegated to the Supplement , there placed for the benefit of those likely to be examined thereon , but ejected from the text , as not being generally appreciated by students , few of whom would ...
... ratio and compound ratio have been relegated to the Supplement , there placed for the benefit of those likely to be examined thereon , but ejected from the text , as not being generally appreciated by students , few of whom would ...
Side 158
... of the polygon from the circumference of the O. = Hence the area of the circle is rectangle ( radius , and a straight line the circumference ) . = BOOK V. RATIO AND PROPORTION . INTRODUCTORY . Two magnitudes 158 AREAS AND PERIMETERS .
... of the polygon from the circumference of the O. = Hence the area of the circle is rectangle ( radius , and a straight line the circumference ) . = BOOK V. RATIO AND PROPORTION . INTRODUCTORY . Two magnitudes 158 AREAS AND PERIMETERS .
Side 159
... ratio to the second which the third has to the fourth when , if the first be divided into any number whatever of equal parts and the third be divided into the same number of equal parts , the second contains the same integral number of ...
... ratio to the second which the third has to the fourth when , if the first be divided into any number whatever of equal parts and the third be divided into the same number of equal parts , the second contains the same integral number of ...
Side 160
... ratio as rect- angles of equal altitude described upon them . K AMN G B P Q H Let AG , BH be the given straight lines , and C the given altitude . Then shall AG have to BH the same ratio as rectangle ( AG , C ) to rectangle ( BH , C ) ...
... ratio as rect- angles of equal altitude described upon them . K AMN G B P Q H Let AG , BH be the given straight lines , and C the given altitude . Then shall AG have to BH the same ratio as rectangle ( AG , C ) to rectangle ( BH , C ) ...
Side 161
... ratio as the first and second are proportional to any others which have the same ratio as the third and fourth . For the test expressed by the definition is satisfied . PROPOSITION IV . If a magnitude have the same ratio to each of two ...
... ratio as the first and second are proportional to any others which have the same ratio as the third and fourth . For the test expressed by the definition is satisfied . PROPOSITION IV . If a magnitude have the same ratio to each of two ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex