Primary Elements of Plane and Solid Geometry: For Schools and AcademiesWilson, Hinkle & Company, 1862 - 98 σελίδες |
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Αποτελέσματα 1 - 5 από τα 14.
Σελίδα 13
... contain the angle , and are called its SIDES . The point from which they diverge is called the VERTEX . Thus , AB and BC are the sides , and B the vertex of the angle ABC . B A In reading angles by three letters , the one at the vertex ...
... contain the angle , and are called its SIDES . The point from which they diverge is called the VERTEX . Thus , AB and BC are the sides , and B the vertex of the angle ABC . B A In reading angles by three letters , the one at the vertex ...
Σελίδα 34
... contain- ing the right angle is equivalent to the square of the hypotenuse diminished by the square of the other side . By taking the square root of the remainder the side itself will be found . Cor . 3. If two right - angled triangles ...
... contain- ing the right angle is equivalent to the square of the hypotenuse diminished by the square of the other side . By taking the square root of the remainder the side itself will be found . Cor . 3. If two right - angled triangles ...
Σελίδα 35
... containing the right angle of a right- angled triangle be 3 and 4 , what is the length of the hypotenuse ? 6. If the hypotenuse be 10 and one of the sides 8 , what is the length of the other side ? 7. Prove that if a parallelogram has ...
... containing the right angle of a right- angled triangle be 3 and 4 , what is the length of the hypotenuse ? 6. If the hypotenuse be 10 and one of the sides 8 , what is the length of the other side ? 7. Prove that if a parallelogram has ...
Σελίδα 62
... - ively parallel . Then , because the sides con- taining the angle A are parallel to the sides containing the B I A. H angle a , these angles are equal ( Cor . 2 , Theo . III , B. I ) ; and for the same reason the 62 GEOMETRY .
... - ively parallel . Then , because the sides con- taining the angle A are parallel to the sides containing the B I A. H angle a , these angles are equal ( Cor . 2 , Theo . III , B. I ) ; and for the same reason the 62 GEOMETRY .
Σελίδα 71
... containing them are by construction proportional ; therefore , the two tri- angles AGB , agb , are similar ( Theo . V ) , and we have AB : ab AG ag 2AG : 2 ag . But the perimeter ABCDEF is to the perimeter abcdef , as AB is to ab ( Theo ...
... containing them are by construction proportional ; therefore , the two tri- angles AGB , agb , are similar ( Theo . V ) , and we have AB : ab AG ag 2AG : 2 ag . But the perimeter ABCDEF is to the perimeter abcdef , as AB is to ab ( Theo ...
Άλλες εκδόσεις - Προβολή όλων
Primary Elements of Plane and Solid Geometry: For Schools and Academies E W (Evan Wilhelm) 1827-1874 Evans Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2021 |
Primary Elements of Plane and Solid Geometry: For Schools and Academies E. W. 1827-1874 Evans Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCDEF allel alternate angles altitude angle BAC angles ABC apothegm base multiplied bisect called chord circle circumference cone consequently convex surface diagonals diameter divided draw Eclectic Reader equal Theo equal to half equivalent frustum Geometry given point half the arc half the product Hence hypotenuse included angle inscribed angle intersect isosceles triangle Let ABCD let fall McGuffey's measured by half mutually equiangular mutually equilateral number of equal number of sides opposite parallelogram perimeter perpendicular perpendicular distance prism proportion proved Published by W. B. quadrilateral radii radius Ray's rectangle regular inscribed regular polygon regular pyramid right angles right parallelopiped right-angled triangle Schol semicircle side BC slant hight solidity square straight line SUPT tangent THEOREM trapezoid triangles ABC triangles are equal triangular vertex W. B. SMITH
Δημοφιλή αποσπάσματα
Σελίδα 69 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Σελίδα 42 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Σελίδα 21 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 47 - It follows, then, that the area of a circle is equal to half the product of its circumference and its radius.
Σελίδα 72 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Σελίδα 33 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 38 - The area of a regular polygon is equal to half the product of its apothem and perimeter.
Σελίδα 52 - PROBLEM VII. Two angles of a triangle being given, to find the third angle. The three angles of every triangle are together equal to two right angles (Prop.
Σελίδα 30 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 69 - 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...