A Popular Course of Pure and Mixed Mathematics ...: With Tables of Logarithms, and Numerous Questions for ExerciseG. B. Whittaker, 1825 - 372 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 28
... equal quantities be added to equal quantities , their sums will be equal . 2. If equal quantities he subtracted from equal quantities , their remainders will be equal . 3. If equal quantities be multiplied by equal quantities , their ...
... equal quantities be added to equal quantities , their sums will be equal . 2. If equal quantities he subtracted from equal quantities , their remainders will be equal . 3. If equal quantities be multiplied by equal quantities , their ...
Σελίδα 161
... equal . 32. A rhombus , is that which has its sides equal , but its angles are not right angles . 0 П 33. A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right ...
... equal . 32. A rhombus , is that which has its sides equal , but its angles are not right angles . 0 П 33. A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right ...
Σελίδα 162
... equal to one another . 12. " If a straight line meets two straight lines so as to make the two interior angles on ... equal ( 15 Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to BA : But it ...
... equal to one another . 12. " If a straight line meets two straight lines so as to make the two interior angles on ... equal ( 15 Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to BA : But it ...
Σελίδα 163
... equal ; therefore the remainder AL is equal to the remainder ( 3 Ar . ) BG : But it has Deen shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one ...
... equal ; therefore the remainder AL is equal to the remainder ( 3 Ar . ) BG : But it has Deen shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one ...
Σελίδα 164
... equal to two sides of the other , each to each , and have likewise the angles con- tained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal ...
... equal to two sides of the other , each to each , and have likewise the angles con- tained by those sides equal to one another , their bases shall likewise be equal , and the triangles be equal , and their other angles to which the equal ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 209 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Σελίδα 284 - The bases of a cylinder are the circles described by the two revolving opposite sides of the parallelogram.
Σελίδα 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...
Σελίδα 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.