Numerical Problems in Plane Geometry: With Metric and Logarithmic TablesLongmans, Green, and Company, 1896 - 161 σελίδες |
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Αποτελέσματα 1 - 5 από τα 35.
Σελίδα 18
... segments into which each side is divided by the bisec- tor of the opposite . 9. Find the segments into which each side is divided by the bisector of an exterior in the preceding problem . 10. The homologous sides of two similar A are 5 ...
... segments into which each side is divided by the bisec- tor of the opposite . 9. Find the segments into which each side is divided by the bisector of an exterior in the preceding problem . 10. The homologous sides of two similar A are 5 ...
Σελίδα 19
... segments , on one of two parallel lines , of 15 feet , 18 feet , 24 feet , and 32 feet , the segment of the other parallel , corresponding to 24 feet , is 16 feet ; find the other segments . 17. Two homologous sides of two similar ...
... segments , on one of two parallel lines , of 15 feet , 18 feet , 24 feet , and 32 feet , the segment of the other parallel , corresponding to 24 feet , is 16 feet ; find the other segments . 17. Two homologous sides of two similar ...
Σελίδα 22
... segments of the third side made by the bisector . ) Transposing in ( 1 ) , ( 2 ) a2 = a c - A DxD C. But C D a DA C ( The bisector of an of a divides the opposite side into segments proportional to the adjacent sides . ) By composition ...
... segments of the third side made by the bisector . ) Transposing in ( 1 ) , ( 2 ) a2 = a c - A DxD C. But C D a DA C ( The bisector of an of a divides the opposite side into segments proportional to the adjacent sides . ) By composition ...
Σελίδα 23
... segments which are 1.4 " and 2.1 " , respectively . Find the segments of A B made by C D. 28. The sides of a are 25 yards , 30 yards , 35 yards . Find the length of the median * to the side of 30 yards , and its projection upon the same ...
... segments which are 1.4 " and 2.1 " , respectively . Find the segments of A B made by C D. 28. The sides of a are 25 yards , 30 yards , 35 yards . Find the length of the median * to the side of 30 yards , and its projection upon the same ...
Σελίδα 24
... segment of the less is 7em , find the external segment of the greater . 32. A secant from a given point without a and ... segments of a line of 36cm when it is divided internally and externally in extreme and mean ratio . 36. Find a mean ...
... segment of the less is 7em , find the external segment of the greater . 32. A secant from a given point without a and ... segments of a line of 36cm when it is divided internally and externally in extreme and mean ratio . 36. Find a mean ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
15 feet acres adjacent sides altitude angle is equal apothem arc intercepted arc subtended bisect bisector centre chord circum circumscribed cologarithm COMMON LOGARITHMS construct a triangle decagon diagonals divided dodecagon equiangular polygon equilateral triangle escribed exterior extreme and mean figure Find the area find the length Find the number Find the radius Find the side GEOMETRY given line given point homologous sides hypotenuse intercepted arcs interior angles intersect isosceles triangle joining the middle June legs line joining LOGARITHMS OF NUMBERS mantissa mean proportional metres middle points miles opposite sides parallelogram perimeter perpendicular PLANE GEOMETRY problems Prove quadrilateral radii rectangle regular hexagon regular inscribed regular polygon respectively rhombus right angles right triangle scribed secant Show similar triangles square equivalent square feet straight line tangent terior third side trapezoid triangle A B C triangle is equal vertex vertices yards
Δημοφιλή αποσπάσματα
Σελίδα 77 - Similar triangles are to each other as the squares of their homologous sides.
Σελίδα 98 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 76 - If four quantities are in proportion, they are in proportion by composition, ie the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.
Σελίδα 90 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 98 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Σελίδα 62 - OA will be 13 inches. 3. Prove that an angle formed by a tangent and a chord drawn through its point of contact is the supplement of any angle inscribed in the segment cut off by the chord. What is the locus of the centre of a circumference of given radius which cuts at right angles a given circumference? 4. Show that the areas of similar triangles are to each other as the squares of the homologous sides. 5. Prove that the square described upon the altitude of an equilateral triangle has an area...
Σελίδα 65 - Prove that, if from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.
Σελίδα 71 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 85 - The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles.
Σελίδα 48 - The sum of two opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the other two angles, and is equal to two right angles.