A Manual of Surveying for India, Detailing the Mode of Operations on the Revenue Surveys in Bengal and the North-western ProvincesW. Thacker, 1851 - 718 sider |
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Resultat 1-5 av 100
Side 10
... manner CED + AED = 2 right angles ; and AED + AEB = 2 right angles : wherefore taking AED from both , there remains CED = AEB . Q. E. D. = THEO . III . If a right line crosses two parallel lines as GH does AB and CD then , 1st . The sum ...
... manner CED + AED = 2 right angles ; and AED + AEB = 2 right angles : wherefore taking AED from both , there remains CED = AEB . Q. E. D. = THEO . III . If a right line crosses two parallel lines as GH does AB and CD then , 1st . The sum ...
Side 11
... manner we prove that BEF = CFE . 3rd . Now BEF = CFE , and ( by Theorem II . ) BEF = AEG . Therefore AEG = CFE ( by Axiom 1. ) In the same way we prove BEG DFE . Q. E. D. THEO . IV . If in any triangle ABC , one of its sides as BC is ...
... manner we prove that BEF = CFE . 3rd . Now BEF = CFE , and ( by Theorem II . ) BEF = AEG . Therefore AEG = CFE ( by Axiom 1. ) In the same way we prove BEG DFE . Q. E. D. THEO . IV . If in any triangle ABC , one of its sides as BC is ...
Side 19
... manner the rest may be proved to be proportional . THEO . XVI . If from a point A without a circle DBCE , there be drawn two lines ADE , ABC , each of them cutting the circle in two points ; the product of one whole line into its ...
... manner the rest may be proved to be proportional . THEO . XVI . If from a point A without a circle DBCE , there be drawn two lines ADE , ABC , each of them cutting the circle in two points ; the product of one whole line into its ...
Side 23
... manner if from C and c be bca , we have ACD acd ; and so the respec- tive angles in every triangle will be equal to those in the other . ( By Theo . 21. ) ABC : abc :: the square of AC to the square of ac , and also ADC : adc :: the ...
... manner if from C and c be bca , we have ACD acd ; and so the respec- tive angles in every triangle will be equal to those in the other . ( By Theo . 21. ) ABC : abc :: the square of AC to the square of ac , and also ADC : adc :: the ...
Side 37
... manner the Logarithms of all numbers between 100 and 1000 , will have 2 in the place of Integers , and so on . The integral part of a Logarithm is called its index , and this index is always a unit less than the number of figures in the ...
... manner the Logarithms of all numbers between 100 and 1000 , will have 2 in the place of Integers , and so on . The integral part of a Logarithm is called its index , and this index is always a unit less than the number of figures in the ...
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Vanlige uttrykk og setninger
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Populære avsnitt
Side 7 - 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. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same are equal to one another.
Side 2 - But when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle : (Ю.
Side 14 - 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.
Side 12 - F, which is the common vertex of the triangles: that is », together with four right angles. Therefore all the angles of the figure, together with four right angles are equal to twice as many right angles as the figure has sides.
Side 240 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity.
Side 2 - When several angles are at one point B, any one of them is expressed by three letters, of which the letter that is at the vertex of the angle, that is, at the point in which the straight lines that contain the angle meet one another, is put between the other two letters, and one of these two...
Side 4 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 273 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 149 - ... to make the objects appear on the other wire ; if the contact still remains perfect, the axis of the telescope is in proper adjustment ; if not, it must be altered by moving the two screws which fasten, to the up-and-down piece, the collar into which the telescope screws. This adjustment is not very liable to be deranged.
Side 5 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...