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 15.
Σελίδα 41
... polygons in terms of the radius . 1. How many degrees in each of a regular octagon ? Of a regular dodecagon ? Of a regular polygon of 27 sides ? 2. How many degrees in the at the centre of a regular polygon of 15 sides ? Of 16 sides ? 3 ...
... polygons in terms of the radius . 1. How many degrees in each of a regular octagon ? Of a regular dodecagon ? Of a regular polygon of 27 sides ? 2. How many degrees in the at the centre of a regular polygon of 15 sides ? Of 16 sides ? 3 ...
Σελίδα 41
... regular polygon whose in terior and exterior are in the ratio of 18 to 4 ? 8. Find the side of an equilateral inscribed in a whose diameter is 35.8cm . 9. Find the perimeter of a regular decagon inscribed in a whose diameter is 7 feet ...
... regular polygon whose in terior and exterior are in the ratio of 18 to 4 ? 8. Find the side of an equilateral inscribed in a whose diameter is 35.8cm . 9. Find the perimeter of a regular decagon inscribed in a whose diameter is 7 feet ...
Σελίδα 52
... regular polygon exceeds the exterior angle by 120 ° . How many sides has the polygon ? -Mass . Inst . Tech . 18. If one diagonal of a quadrilateral bisects both angles whose vertices it connects , then the two diagonals of the ...
... regular polygon exceeds the exterior angle by 120 ° . How many sides has the polygon ? -Mass . Inst . Tech . 18. If one diagonal of a quadrilateral bisects both angles whose vertices it connects , then the two diagonals of the ...
Σελίδα 61
... polygon similar to a given polygon and having two and a half times its area . - Cornell . 97. How many degrees in each angle of a regular deca- gon ? -Yale . 98. If the diagonals AC and BG of the regular octa- gon ABCDEFGH intersect at ...
... polygon similar to a given polygon and having two and a half times its area . - Cornell . 97. How many degrees in each angle of a regular deca- gon ? -Yale . 98. If the diagonals AC and BG of the regular octa- gon ABCDEFGH intersect at ...
Σελίδα 62
... regular pentagon divide each other in mean and extreme ratio . - U . of Cal . 109. Show that an equiangular polygon inscribed in a cir- cle is regular if the number of its sides is odd . - Cornell . 110. The radius of a certain circle ...
... regular pentagon divide each other in mean and extreme ratio . - U . of Cal . 109. Show that an equiangular polygon inscribed in a cir- cle is regular if the number of its sides is odd . - Cornell . 110. The radius of a certain circle ...
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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.