The elementary geometry of the right line and circleLongmans, Green and Company, 1875 - 172 pàgines |
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The Elementary Geometry of the Right Line and Circle William A. Willock Previsualització limitada - 2023 |
The Elementary Geometry of the Right Line and Circle William A. Willock Previsualització limitada - 2023 |
The Elementary Geometry of the Right Line and Circle William Alexander Willock Previsualització no disponible - 2022 |
Frases i termes més freqüents
a₁ AB₁ acute angle ACB angle opposite B₁ BB₁ bisector C₁ Chap circumference coincide common chord construction describe a circle diameter directive X divided double draw duplicate ratio equal angles equal in area equal respectively equal sides equal Theor equal to BO equiangular equilateral triangle equisubmultiples Euclid extremities figure four right angles geometry given circle given line given magnitude given point greater line greater segment half a right half difference half sum Hence hypothenuse inscribed internal angles intersection isosceles triangle joining the centres last Theor Let ABC line joining meet obtuse opposite angles pair of sides parallelogram perpendicular polygon Prob problem proved quadrilateral radii radius rectangle right angles right line semicircle sides AC sides equal six right squares of AO submultiple subtended suppose tangent theorem third triangle ACB triangle are equal vertex vertical angle
Passatges populars
Pàgina 6 - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal.
Pàgina 86 - Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians.
Pàgina 115 - Article, — j— = — -=- ; oa bd also - =" — j ac , , a—bb c—dd a—b c- d therefore - x - = — -- x - or = j bade ac or a — b : a :: c — d : c, and inversely, a '. a — b :: c : c — d. This operation is called convertendo. 396. When four quantities are proportionals, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Pàgina 163 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth: or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth : or, if...
Pàgina 43 - If two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less side.
Pàgina 30 - The angle between a tangent to a circle and a chord through the point of contact is equal to the angle in the alternate segment.
Pàgina 108 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Pàgina 114 - If four quantities are in proportion, they will be in proportion by COMPOSITION; that is, the sum of the first and second, will be to the second, as the sum of the third and fourth, is to the fourth.
Pàgina 66 - If a parallelogram and a triangle be on the same base and between the same parallels, the parallelogram shall be double of the triangle.
Pàgina 84 - Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice a hecatomb when he made out its proof ?