Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Σελίδα 5
... Ratio and Proportion BOOK III BOOK IV Proportional Lines and Similar Figures . Summary Supplementary Exercises 88888888 83 98 100 122 • 124 · 135 147 0 167 · 169 Prop . XII . , page 185 . 1. Make Then, ABDE≈ BCGF+ ACHJ.
... Ratio and Proportion BOOK III BOOK IV Proportional Lines and Similar Figures . Summary Supplementary Exercises 88888888 83 98 100 122 • 124 · 135 147 0 167 · 169 Prop . XII . , page 185 . 1. Make Then, ABDE≈ BCGF+ ACHJ.
Σελίδα 7
... Ratio and Proportion BOOK IV Proportional Lines and Similar Figures . Summary Supplementary Exercises 124 BOOK III 135 • 147 • 167 169 BOOK V Area and Equivalence Summary · • Supplementary Exercises Demonstrations should never be ...
... Ratio and Proportion BOOK IV Proportional Lines and Similar Figures . Summary Supplementary Exercises 124 BOOK III 135 • 147 • 167 169 BOOK V Area and Equivalence Summary · • Supplementary Exercises Demonstrations should never be ...
Σελίδα 98
... Ratio . The ratio of two magnitudes is the ratio of their 98 PLANE GEOMETRY . — BOOK II . Measurement Measurement 213.
... Ratio . The ratio of two magnitudes is the ratio of their 98 PLANE GEOMETRY . — BOOK II . Measurement Measurement 213.
Σελίδα 99
William James Milne. The ratio of two magnitudes is the ratio of their numerical measures . It may be either an integer or a fraction . The ratio of a line 12 ft . long to one 4 ft . long is 3 ; that is , the 12 ft . line is three times ...
William James Milne. The ratio of two magnitudes is the ratio of their numerical measures . It may be either an integer or a fraction . The ratio of a line 12 ft . long to one 4 ft . long is 3 ; that is , the 12 ft . line is three times ...
Σελίδα 100
... ratio P n within any assigned degree of precision . THEORY OF LIMITS 219. A magnitude which remains unchanged throughout the same discussion is called a Constant . 220. A magnitude which , under the conditions imposed upon it , may have ...
... ratio P n within any assigned degree of precision . THEORY OF LIMITS 219. A magnitude which remains unchanged throughout the same discussion is called a Constant . 220. A magnitude which , under the conditions imposed upon it , may have ...
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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 Data diagonals diameter dihedral angles distance divide equal circles equidistant equilateral triangle equivalent exterior extremities Find the locus frustum given line given point given straight line Hence homologous homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane prism produced Proof proportion prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angles right triangle secant segment similar sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 103 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 147 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 65 - 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 45 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 62 - 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 59 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 81 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 45 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 31 - 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 88 - 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.