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 11
... diameter , which is it ? Which of the others is nearest to the centre ? Which farthest from it ? 3. If a central of 28 ° intercepts an arc of 3.2 " , find , in feet and inches , the arc intercepted by an equal in an equal . 4. What can ...
... diameter , which is it ? Which of the others is nearest to the centre ? Which farthest from it ? 3. If a central of 28 ° intercepts an arc of 3.2 " , find , in feet and inches , the arc intercepted by an equal in an equal . 4. What can ...
Σελίδα 13
... diameter , B C is 8 ° more than G C ; find the E B C. 25. In the same figure , the arc D B is three and one- half times the arc D C , and the D B G = 133 ° ; find the DB C. 26. In the same figure , if G D and B C are in the ratio 37 and ...
... diameter , B C is 8 ° more than G C ; find the E B C. 25. In the same figure , the arc D B is three and one- half times the arc D C , and the D B G = 133 ° ; find the DB C. 26. In the same figure , if G D and B C are in the ratio 37 and ...
Σελίδα 17
... diameter of its orbit , and its period of revolution is 11 years , 315 days , what is its hourly motion in its orbit ? ( Log . ) 60. If the earth's radius , 3,963 miles , is equal to the length of an arc of 57 ′ of the moon's orbit ...
... diameter of its orbit , and its period of revolution is 11 years , 315 days , what is its hourly motion in its orbit ? ( Log . ) 60. If the earth's radius , 3,963 miles , is equal to the length of an arc of 57 ′ of the moon's orbit ...
Σελίδα 19
... diameter is 16m , find the length of the chord which is 4m from the centre . 20. The sides of a are 30cm , 40cm , and 45cm ; find the projection of the shortest side upon the longest . 21. Is the of 20 acute , right , or obtuse ? Which ...
... diameter is 16m , find the length of the chord which is 4m from the centre . 20. The sides of a are 30cm , 40cm , and 45cm ; find the projection of the shortest side upon the longest . 21. Is the of 20 acute , right , or obtuse ? Which ...
Σελίδα 23
... diameter of the circumscribed about the two of whose sides are 3 feet 4 inches and 4 feet 6 inches , and the perpendicular to the third side from the opposite vertex is 2 feet 3 inches . to 30. Find the length of the bisector of the ...
... diameter of the circumscribed about the two of whose sides are 3 feet 4 inches and 4 feet 6 inches , and the perpendicular to the third side from the opposite vertex is 2 feet 3 inches . to 30. Find the length of the bisector of the ...
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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.