Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα vi
... altitude x , will afford an obvious illustration of the axiomatic truth contained in [ 4 ] , page 88. If x increase and approach the altitude a as a limit , the area of the rec- tangle increases and approaches the area of the rectangle ...
... altitude x , will afford an obvious illustration of the axiomatic truth contained in [ 4 ] , page 88. If x increase and approach the altitude a as a limit , the area of the rec- tangle increases and approaches the area of the rectangle ...
Σελίδα 38
... Altitude of a triangle is the perpendicular distance from the vertex to the base , or the base produced . 94. DEF . The Exterior angle of a triangle is the angle in- cluded between a side and an adjacent side produced , as ≤ CBD . 95 ...
... Altitude of a triangle is the perpendicular distance from the vertex to the base , or the base produced . 94. DEF . The Exterior angle of a triangle is the angle in- cluded between a side and an adjacent side produced , as ≤ CBD . 95 ...
Σελίδα 59
... Altitude of a parallelogram or trapezoid is the perpendicular distance between its bases . 132. DEF . The Diagonal of a quadrilateral is a straight line joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The ...
... Altitude of a parallelogram or trapezoid is the perpendicular distance between its bases . 132. DEF . The Diagonal of a quadrilateral is a straight line joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The ...
Σελίδα 65
... . $ 63 Q. E. D. 141. COROLLARY . Two rectangles having the same base and altitude are equal ; for they may be applied to each other and will coincide . PROPOSITION XLV . THEOREM . 142. The straight line which QUADRILATERALS . 65.
... . $ 63 Q. E. D. 141. COROLLARY . Two rectangles having the same base and altitude are equal ; for they may be applied to each other and will coincide . PROPOSITION XLV . THEOREM . 142. The straight line which QUADRILATERALS . 65.
Σελίδα 117
... altitude , and C the angle at the base . It is required to construct a △ having the base equal to o , the altitude equal to m , and an at the base equal to C. Take A B equal to o . At the point A , draw the indefinite line A R , making ...
... altitude , and C the angle at the base . It is required to construct a △ having the base equal to o , the altitude equal to m , and an at the base equal to C. Take A B equal to o . At the point A , draw the indefinite line A R , making ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB ABCD adjacent angles apothem arc A B base and altitude centre centre of symmetry chord circumscribed coincide construct a square COROLLARY decagon describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular equiangular polygon equilateral equilateral polygon exterior angles figure given circle given line given polygon given square hexagon homologous sides hypotenuse isosceles Let A B Let ABC line A B measured by arc middle point number of sides parallelogram perpendicular plane polygon ABC polygon similar PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct right angles right triangle SCHOLIUM segment semicircle similar polygons square equivalent subtend symmetrical with respect tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 40 - 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.
Σελίδα 124 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 201 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 185 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Σελίδα 73 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 41 - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 140 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 113 - From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.
Σελίδα 155 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.