Numerical Problems in Plane Geometry: With Metric and Logarithmic TablesLongmans, Green, and Company, 1896 - 161 σελίδες |
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Σελίδα 52
... meet in a point . Harvard . 15. How many degrees in one angle of an equiangular docedagon ? -Dartmouth . 16. If the opposite sides of a pentagon be produced to intersect , prove that the sum of the angles at the vertices of the ...
... meet in a point . Harvard . 15. How many degrees in one angle of an equiangular docedagon ? -Dartmouth . 16. If the opposite sides of a pentagon be produced to intersect , prove that the sum of the angles at the vertices of the ...
Σελίδα 55
... meet at E. and B D E similar . - Mass . Inst . Tech . Prove triangles ACE 48. A chord 18 inches long is bisected by another chord 22 inches long . Find the segments of the latter . - N . J. State College . 49. In any given triangle , if ...
... meet at E. and B D E similar . - Mass . Inst . Tech . Prove triangles ACE 48. A chord 18 inches long is bisected by another chord 22 inches long . Find the segments of the latter . - N . J. State College . 49. In any given triangle , if ...
Σελίδα 58
... meets the circumference at D. DO is drawn to the centre , O , of the circle , and the perpendicular dropped from C upon OD meets OD at E. Show that DC is a mean proportional to A O and D E. - Harvard . 69. The length of one side of a ...
... meets the circumference at D. DO is drawn to the centre , O , of the circle , and the perpendicular dropped from C upon OD meets OD at E. Show that DC is a mean proportional to A O and D E. - Harvard . 69. The length of one side of a ...
Σελίδα 60
... meet . - Dartmouth . 91. Through a point in one side of a triangle draw a line parallel to the base which shall bisect the area of the triangle . Cornell . 92. The area of a polygon is 160 square feet , one side is 6 feet long ; find ...
... meet . - Dartmouth . 91. Through a point in one side of a triangle draw a line parallel to the base which shall bisect the area of the triangle . Cornell . 92. The area of a polygon is 160 square feet , one side is 6 feet long ; find ...
Σελίδα 62
... meet two others , the quadri- lateral formed may be inscribed in a circle . Prove . - Bos- ton University . 108. The diagonals of a regular pentagon divide each other in mean and extreme ratio . - U . of Cal . 109. Show that an ...
... meet two others , the quadri- lateral formed may be inscribed in a circle . Prove . - Bos- ton University . 108. The diagonals of a regular pentagon divide each other in mean and extreme ratio . - U . of Cal . 109. Show that an ...
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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.