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 35.
Σελίδα 12
... drawn ; and that is the shortest line be- tween them . 11. Two magnitudes are equal if , when one is ap- plied to the other , they will exactly coincide . PLANE GEOMETRY . BOOK I. RATIOS OF MAGNITUDES LYING IN 12 GEOMETRY .
... drawn ; and that is the shortest line be- tween them . 11. Two magnitudes are equal if , when one is ap- plied to the other , they will exactly coincide . PLANE GEOMETRY . BOOK I. RATIOS OF MAGNITUDES LYING IN 12 GEOMETRY .
Σελίδα 19
... draw BE parallel to AC . Now , the sum of the three angles ABC , CBE , EBD , is equal to two right angles ( Cor . 1 , Theo . I ) . But because CB intersects the parallels AC and BE , the angle CBE is equal to its alternate angle BCA ...
... draw BE parallel to AC . Now , the sum of the three angles ABC , CBE , EBD , is equal to two right angles ( Cor . 1 , Theo . I ) . But because CB intersects the parallels AC and BE , the angle CBE is equal to its alternate angle BCA ...
Σελίδα 20
... drawn from the extremities of one side of a triangle to a point within , their sum will be less than that of the other two sides of the triangle . From the extremities of AB , let straight lines be drawn to a point D within the triangle ...
... drawn from the extremities of one side of a triangle to a point within , their sum will be less than that of the other two sides of the triangle . From the extremities of AB , let straight lines be drawn to a point D within the triangle ...
Σελίδα 22
... Draw CD bisecting the angle ACB . Then in the triangles ADC , BDC , since the side AC is , by hypothesis , equal to the side BC , and the side CD is common to both , and the in- cluded angle ACD is , by construction , equal to the ...
... Draw CD bisecting the angle ACB . Then in the triangles ADC , BDC , since the side AC is , by hypothesis , equal to the side BC , and the side CD is common to both , and the in- cluded angle ACD is , by construction , equal to the ...
Σελίδα 26
... drawn . ( Cor . 2 , Theo . V ) . 5. If the vertical angle of an isosceles triangle be two - sevenths of a right angle , what will be the value of each of the angles at the base ? SEC . VI . - QUADRILATERALS . DEFINITIONS . 1. A ...
... drawn . ( Cor . 2 , Theo . V ) . 5. If the vertical angle of an isosceles triangle be two - sevenths of a right angle , what will be the value of each of the angles at the base ? SEC . VI . - QUADRILATERALS . DEFINITIONS . 1. A ...
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...