Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Σελίδα 2
... proportion of those who study elementary geometry expect to become mathematicians in any broad sense of the term , and so geometry must serve to give them almost the only training they will get in formal and logical argument in ...
... proportion of those who study elementary geometry expect to become mathematicians in any broad sense of the term , and so geometry must serve to give them almost the only training they will get in formal and logical argument in ...
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
... 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 memorized If ...
... 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 memorized If ...
Σελίδα 18
... proportion the product of the extremes is equal to the product of the means " is an algebraic theorem . 43. A theorem whose truth may be easily deduced from a preceding theorem is often attached to it , and called a Corollary . The ...
... proportion the product of the extremes is equal to the product of the means " is an algebraic theorem . 43. A theorem whose truth may be easily deduced from a preceding theorem is often attached to it , and called a Corollary . The ...
Σελίδα 134
... to a system of concentric circles . Ex . 392. Find the locus of the middle points of secants drawn from a given point to a given circle . BOOK III RATIO AND PROPORTION 257. 1. How is a 134 PLANE GEOMETRY . - BOOK II .
... to a system of concentric circles . Ex . 392. Find the locus of the middle points of secants drawn from a given point to a given circle . BOOK III RATIO AND PROPORTION 257. 1. How is a 134 PLANE GEOMETRY . - BOOK II .
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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.