A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 páginas |
Dentro del libro
Resultados 1-5 de 100
Página 159
... line are points . 4. A straight line is that which lies evenly between its extreme points . 5. A superficies is that which hath only length and breadth . 6. The extremities of a superficies are lines . 7. A plane superficies is that in ...
... line are points . 4. A straight line is that which lies evenly between its extreme points . 5. A superficies is that which hath only length and breadth . 6. The extremities of a superficies are lines . 7. A plane superficies is that in ...
Página 160
... straight line standing on ano- ther straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An ...
... straight line standing on ano- ther straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An ...
Página 161
... straight lines , are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . 1. Let it be granted that a straight line ... straight line may be produced to any length in a straight line .
... straight lines , are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . 1. Let it be granted that a straight line ... straight line may be produced to any length in a straight line .
Página 162
... 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 , these straight lines being continually produced , shall at length meet upon that side on ...
... 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 , these straight lines being continually produced , shall at length meet upon that side on ...
Página 163
... straight line AL is equal to BC . Where- fore from the given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . • Proposition III . Problem . From the greater of two given straight lines ...
... straight line AL is equal to BC . Where- fore from the given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . • Proposition III . Problem . From the greater of two given straight lines ...
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Términos y frases comunes
ABC is equal altitude angle ABC angle BAC axis bisected centre circle ABCD circumference co-efficient cone conic section convergency curve cylinder described diameter divided draw equal angles equation equiangular equimultiples factors fluxion fore fraction geometrical progression given straight line gnomon greater Hence hyperbola join less Let ABC magnitudes multiple opposite parabola parallel parallelogram perpendicular plane angles polygon prism produced proportional pyramid Q. E. D. PROP Q. E. D. Proposition radius rectangle rectangle contained rectilineal figure remaining angle right angles segment shewn side BC similar sine solid angle solid parallelopiped spherical triangle square of AC subtract surd tang tangent Theorem third tiple triangle ABC vertex whence Wherefore
Pasajes populares
Página 172 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Página 191 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Página 190 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Página 196 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Página 192 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Página 177 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Página 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Página 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Página 286 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Página 179 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.