Plane GeometryAmerican Book Company, 1899 - 242 σελίδες |
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Σελίδα 4
... 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 7
... Proportion BOOK III BOOK IV Proportional Lines and Similar Figures . Summary • Supplementary Exercises 10 12 15 15 17 19 19 20 20 21 27 38 60 68 74 78 83 98 100 122 · • 124 135 147 · 167 · • 169 Area and Equivalence Summary ...
... Proportion BOOK III BOOK IV Proportional Lines and Similar Figures . Summary • Supplementary Exercises 10 12 15 15 17 19 19 20 20 21 27 38 60 68 74 78 83 98 100 122 · • 124 135 147 · 167 · • 169 Area and Equivalence Summary ...
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 .
Σελίδα 135
William James Milne. BOOK III RATIO AND PROPORTION 257. 1. How is a magnitude measured ? 2. What is the numerical measure of a magnitude ? 3. What is the common measure of two or more magnitudes ? 4. What is meant by ... Proportion BOOK III.
William James Milne. BOOK III RATIO AND PROPORTION 257. 1. How is a magnitude measured ? 2. What is the numerical measure of a magnitude ? 3. What is the common measure of two or more magnitudes ? 4. What is meant by ... Proportion BOOK III.
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Συχνά εμφανιζόμενοι όροι και φράσεις
AABC AB² ABCD AC² adjacent angles angle formed angles are equal apothem arc intercepted base and altitude BC² bisector bisects CD² central angle chord circle whose center circumference circumscribing circle compare in length Construct a square Construct a triangle Data diagonals diameter divided equal circles equidistant equilateral triangle exterior extremities FGHJK given line given parallelogram given point given triangle Hence homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc meet middle point MILNE'S number of sides opposite sides parallel lines perimeter perpendicular produced proportion prove Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular inscribed regular polygon rhombus right angle right triangle secant similar polygons similar triangles square equivalent subtended tangent Theorem third side transversal trapezoid triangle ABC triangle equivalent triangle is equal vertex vertical angle
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 105 - 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 46 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 74 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
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 53 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Σελίδα 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 126 - DE and on the same side of it ; but equal triangles on the same base, and on the same side of it, are between the same parallels ; [I.
Σελίδα 90 - Theorem. In the same circle, or in equal circles, equal chords are equally distant from the center; conversely, chords equally distant from the center are equal.
Σελίδα 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.