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 4
... Segment of a Circle is a Figure contained by a right Line and the Circumference cut off by it . ( This is not used in the Elements . ) 20 . 24. Rectilineal Figures are such as are contained by right Lines . 21 . 25. Trilateral Figures ...
... Segment of a Circle is a Figure contained by a right Line and the Circumference cut off by it . ( This is not used in the Elements . ) 20 . 24. Rectilineal Figures are such as are contained by right Lines . 21 . 25. Trilateral Figures ...
Σελίδα 31
... Segment of a Circle is the Fi- gure contained by a Line and the Circumference it cuts off , ( fee Pl . 2. F. 16. ) and the Line is called : the Chard . 130. Def . 7. The Angle in a Segment is that which is contained by two Lines drawn ...
... Segment of a Circle is the Fi- gure contained by a Line and the Circumference it cuts off , ( fee Pl . 2. F. 16. ) and the Line is called : the Chard . 130. Def . 7. The Angle in a Segment is that which is contained by two Lines drawn ...
Σελίδα 39
... Segment BAED be Fa Semi- F.10 circle , as in Figure 10th . the LS BAD , BED , BFD , ftand upon the fame Bafe BD , . the BAD BFD , and BED = BFD ; . BAD BED , wherever the Points A , E , are taken in the Circumference BAED . Q. E. D. b a ...
... Segment BAED be Fa Semi- F.10 circle , as in Figure 10th . the LS BAD , BED , BFD , ftand upon the fame Bafe BD , . the BAD BFD , and BED = BFD ; . BAD BED , wherever the Points A , E , are taken in the Circumference BAED . Q. E. D. b a ...
Σελίδα 40
... Segment BADC , and upon the fame Base BC ; and the ACB = LADB , being in the fame Segment ADCB , and upon the same Bafe AB . ... adding equals , the ADB + 2 ACB + CAB , that is , ADC = CAB ; to each of these equals adding we have ADC + ...
... Segment BADC , and upon the fame Base BC ; and the ACB = LADB , being in the fame Segment ADCB , and upon the same Bafe AB . ... adding equals , the ADB + 2 ACB + CAB , that is , ADC = CAB ; to each of these equals adding we have ADC + ...
Σελίδα 41
... Segment ABC ) muft be A a Rt . 2. g 86 . Q. E. D. h 3dly . The Figure BADC being quadrilateral , the LABC + LADC2 Rt . 4s ; but it has been 147 . juft fhewn that ABC A a Rt . 4 , confequently 4ADC must be ra Rt . 4. Q. E. D. 149 ...
... Segment ABC ) muft be A a Rt . 2. g 86 . Q. E. D. h 3dly . The Figure BADC being quadrilateral , the LABC + LADC2 Rt . 4s ; but it has been 147 . juft fhewn that ABC A a Rt . 4 , confequently 4ADC must be ra Rt . 4. Q. E. D. 149 ...
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...