Elements of Plane and Solid Free-hand Geometrical Drawing, with Lettering: And Some Elements of Geometrical Ornamental Design, Including the Principals of Harmonic Angular Ratios, Etc. In Three Parts ... for Draughtsmen and Artisans; and Teachers and Students of Industrial and Mechanical Drawing

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J. Wiley & sons, 1878 - 137 páginas

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Página 40 - In the second figure the corresponding angles are 18° and 36°, having therefore a ratio of 4, and affording a more decidedly egg-shaped curve. Ex. 108. An egg-shaped oval may also be inscribed in a regular trapezoid, that is a figure having two unequal but parallel sides, both of which are bisected by the same line, perpendicular to both, thus : Let these ovals be drawn in a great variety of proportions and positions, both in rhombus-like figures and trapezoids, and with as frequent reference as...
Página 104 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Página 55 - ... desk most remote from the window should not be more than one and a half times the height of the top of the window from the floor. The height of the elass-room should never exceed fourteen feet.
Página 22 - Circles, or arcs, may, like straight lines, have given distances marked off upon them, and may be divided into equal parts. The line which joins the extremities of an arc, is called the chord of that arc. When the arc is very short, its length cannot be ordinarily distinguished from that of its chord. It is on this principle that any given straight distance may be transferred to a circle or to any curve.
Página 78 - Symmetrv results from proportion, which, in the Greek language, is termed analogy. Proportion is the commensuration of the various constituent parts with the whole ; in the existence of which, symmetry is found to consist ; for no building...
Página 37 - When any curve and straight line merely touch at one point, they are said to be tangent to each other, and just at the point of touch, or tangency, they lie in the same direction.
Página 86 - C, 2 -f| 8th Diatonic semi-tone. 30. Illustration of further application of ratios, founded directly or indirectly on the primary numbers 2, 3, 5. The intervals from C to E, from F to A, and from G to B each consisting of a major and a minor 2d — and = f — are called major thirds.
Página 21 - The distance from the centre to the circumference of a circle, is called its radius.

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