Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Σελίδα 20
... lateral surface . · Sup . right . scholium . sector . segment . similar . straight . supplement . The letters Q.E.D. are placed at the end of a proof ; they are the initial letters of the Latin words quod erat demonstrandum , meaning ...
... lateral surface . · Sup . right . scholium . sector . segment . similar . straight . supplement . The letters Q.E.D. are placed at the end of a proof ; they are the initial letters of the Latin words quod erat demonstrandum , meaning ...
Σελίδα 80
... lateral triangle with the other two sides , produced when necessary . Ex . 137. If the straight line bisecting an exterior angle of a triangle is parallel to a side , the triangle is isosceles . Ex . 138. If the non - parallel sides of ...
... lateral triangle with the other two sides , produced when necessary . Ex . 137. If the straight line bisecting an exterior angle of a triangle is parallel to a side , the triangle is isosceles . Ex . 138. If the non - parallel sides of ...
Σελίδα 206
... lateral ? Ex . 564. The area of a triangle is 875 sq . yd . Find its base and altitude , if they are in the ratio of 14 to 5 . Ex . 565. The homologous sides of two similar fields are in the ratio of 3 to 5 , and the sum of their areas ...
... lateral ? Ex . 564. The area of a triangle is 875 sq . yd . Find its base and altitude , if they are in the ratio of 14 to 5 . Ex . 565. The homologous sides of two similar fields are in the ratio of 3 to 5 , and the sum of their areas ...
Σελίδα 273
... lateral faces are called lateral edges ; the sum of the lateral faces is called the lat- eral , or convex surface ; and the sum of the areas of the lateral faces is called the lateral area of the prism . The lateral edges of a prism are ...
... lateral faces are called lateral edges ; the sum of the lateral faces is called the lat- eral , or convex surface ; and the sum of the areas of the lateral faces is called the lateral area of the prism . The lateral edges of a prism are ...
Σελίδα 274
... lateral edges are perpendicu- lar to its bases is called a Right Prism . 508. A prism whose lateral edges are not perpendicular to its bases is called an Oblique Prism . 509. A right prism whose bases are regular polygons is called a ...
... lateral edges are perpendicu- lar to its bases is called a Right Prism . 508. A prism whose lateral edges are not perpendicular to its bases is called an Oblique Prism . 509. A right prism whose bases are regular polygons is called a ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle formed angles are equal angles compare apothem arc intercepted base bisector bisects called central angle chord circle whose center circumference circumscribed compare in length Construct a triangle cylinder Data diagonals diameter dihedral angles distance divided equal circles equidistant equilateral triangle equivalent exterior angle extremities FGHJK Find the locus frustum given line given point given straight line Hence homologous sides hypotenuse inscribed angle intersecting isosceles trapezoid isosceles triangle measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane polyhedron prism produced Proof prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angle right triangle secant segments sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 47 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 33 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Σελίδα 219 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 217 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Σελίδα 136 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Σελίδα 90 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.
Σελίδα 374 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 176 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.