The Geometrician: Containing Essays on Plane Geometry, and Trigonometry: with Their Application to the Solutions of a Variety of Problems ...J. Johnson, 1775 - 159 σελίδες |
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Σελίδα 26
... Feet , and Altitude 2 Feet , then its Area is = 6x212 fquare Feet . 112. As to Triangles , every Triangle being half of a Parallelogram of equal Bafe and Altitude , No- thing further need be faid . 113. THEOREM 25. The Complements of ...
... Feet , and Altitude 2 Feet , then its Area is = 6x212 fquare Feet . 112. As to Triangles , every Triangle being half of a Parallelogram of equal Bafe and Altitude , No- thing further need be faid . 113. THEOREM 25. The Complements of ...
Σελίδα 111
... Feet , and CE the Height of the Roof - it is required to find the Length of the Rafter DE . The Solution by the above Rule is as follows . Pl . VIII 10 Feet ; Fig . 10 . 10 15 15 a 225 100 325 ( 18 I 10 75 CE2 100 DC2325 28 ) 125 224 15 ...
... Feet , and CE the Height of the Roof - it is required to find the Length of the Rafter DE . The Solution by the above Rule is as follows . Pl . VIII 10 Feet ; Fig . 10 . 10 15 15 a 225 100 325 ( 18 I 10 75 CE2 100 DC2325 28 ) 125 224 15 ...
Σελίδα 112
... Feet long reached the Top of a House when its Foot was 30 Feet from the Bottom of the Wall it is required to find the Height of the House . The Operation will ftand thus , by the first Rule . 50 30 2500 50 30 900 2500 900 1600 By the ...
... Feet long reached the Top of a House when its Foot was 30 Feet from the Bottom of the Wall it is required to find the Height of the House . The Operation will ftand thus , by the first Rule . 50 30 2500 50 30 900 2500 900 1600 By the ...
Σελίδα 13
... Feet 2.1139433 So is S. 4C 49 ° 45 ' 9.8826568 To AB 99.22 Feet 1.9966001 To find the Perpendicular . As Radius 90 ° 10.0000000 Is to AC 130 Feet 2.1139433 So is S. ZA 40 ° 15 ' 9.8103159 To BC 84 Feet 1.9242592 By Natural Sines thus ...
... Feet 2.1139433 So is S. 4C 49 ° 45 ' 9.8826568 To AB 99.22 Feet 1.9966001 To find the Perpendicular . As Radius 90 ° 10.0000000 Is to AC 130 Feet 2.1139433 So is S. ZA 40 ° 15 ' 9.8103159 To BC 84 Feet 1.9242592 By Natural Sines thus ...
Σελίδα 14
... Feet 2.1139433 So is Radius 90 ° 10.0000000 So Tan.ZA 40 ° 15 ' 9.9276590 Feet 2.1139433 12.0416023 10.1173432 12.1139433 10.1173432 To AB 99.22 Feet 1.9966001 To BC 84 Feet 1.9242591 Or thus , by the Table of Natural Secants , & c . By ...
... Feet 2.1139433 So is Radius 90 ° 10.0000000 So Tan.ZA 40 ° 15 ' 9.9276590 Feet 2.1139433 12.0416023 10.1173432 12.1139433 10.1173432 To AB 99.22 Feet 1.9966001 To BC 84 Feet 1.9242591 Or thus , by the Table of Natural Secants , & c . By ...
Άλλες εκδόσεις - Προβολή όλων
The Geometrician: Containing Essays On Plane Geometry, and Trigonometry ... Benjamin Donne Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ... Benjamin Donne Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Geometrician: Containing Essays On Plane Geometry, and Trigonometry ... Benjamin Donne Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD alfo alſo Altitude anfwering Bafe Barometer Baſe becauſe bifect Cafe Center Characteriſtick Chord Circle Circumference Cofine Compaffes confequently Conftruction contained COROLLARY decimal defcribe Degrees demonftrated Diameter Diſtance divided Divifion draw Effay equal Euclid Example faid fame Manner fame Ratio fecond Feet fhall fhew fhewn fimilar find the Height firft firſt fome ftand fubtract fuch fufficient fuppofe Geometry given Line greater Hence Hypothenufe Interfection join laft leffer lefs Logarithm Magnitudes manifeft meaſuring muſt Number obferve oppofite Sides Parallelogram Perpendicular Polygon PROBLEM Propofition Proportion quired Reaſon Rectangle Refpects reprefent right Angle right Line Scale Scholium Secant Segment Semicircle ſhall Sine Square Suppofition Tangent thefe THEOREM Thermometer theſe thoſe Triangle Trigono Trigonometry Uſe whofe
Δημοφιλή αποσπάσματα
Σελίδα 29 - The lines do not run in a uniform direction from the left to the right, or from the right to the left...
Σελίδα 106 - AB, remains the same as it was : Nor is it part of the length of the line AB ; for, if AB be removed from the line KB, the point B, which is the extremity of the line KB, does...
Σελίδα 120 - If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let...
Σελίδα 15 - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.
Σελίδα 43 - ... magnitude. For example, if A, B, C, D be four magnitudes of the same kind, the first A is said to have to the last D the ratio compounded of the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if...
Σελίδα 106 - It is necessary to consider a solid, that is, a magnitude which has length, breadth, and thickness, in order to understand aright the definitions of a point, line and superficies ; for these all arise from a solid, and exist in it ; The boundary, or boundaries which contain a solid, are called superficies, or the boundary which is common to two solids which are contiguous, or which divides one solid into two contiguous parts, is called a superficies...
Σελίδα 43 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.
Σελίδα 64 - ... is supposed to be divided into 60 equal parts, called minutes; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
Σελίδα 18 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 106 - KBCL which is contiguous to it, this boundary BC is called a line, and has no breadth : For if it have any, this...