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 10
... Triangles , ABC , DEF , have two Sides of the one , AB , AC , equal to two Sides of the other , DE , DF , each to ... equal Sides are oppofite ; that is , the Angle B equal to the Angle E , and the Angle C equal to the Angle F. For if ...
... Triangles , ABC , DEF , have two Sides of the one , AB , AC , equal to two Sides of the other , DE , DF , each to ... equal Sides are oppofite ; that is , the Angle B equal to the Angle E , and the Angle C equal to the Angle F. For if ...
Σελίδα 15
... Angle in the other Triangle . 81. COROLL . 3. If two Triangles bave one Angle of the one equal to one Angle of the other , then the Sum of the two remaining Angles of one Triangle is equal to the Sum of the two remaining Angles of the other ...
... Angle in the other Triangle . 81. COROLL . 3. If two Triangles bave one Angle of the one equal to one Angle of the other , then the Sum of the two remaining Angles of one Triangle is equal to the Sum of the two remaining Angles of the other ...
Σελίδα 16
... both being equal to a Rt . 4 , as hath been juft fhewn . 60 . = 2 2 85. COROLL . 7. An equilateral Triangle being e- quiangular , each Angle must be equal to one Third of two Rt . Angles ; or , which is equivalent , two Thirds of one Right ...
... both being equal to a Rt . 4 , as hath been juft fhewn . 60 . = 2 2 85. COROLL . 7. An equilateral Triangle being e- quiangular , each Angle must be equal to one Third of two Rt . Angles ; or , which is equivalent , two Thirds of one Right ...
Σελίδα 18
... two Sides of the other , each to each , viz . AB = DE , and ACDF ; but the contained Angle of one greater than the contained Angie of the other , viz . the Angle A greater than the Angle EDF ; that which has the greatest Angle between the ...
... two Sides of the other , each to each , viz . AB = DE , and ACDF ; but the contained Angle of one greater than the contained Angie of the other , viz . the Angle A greater than the Angle EDF ; that which has the greatest Angle between the ...
Σελίδα 19
... two Sides DE , DF , let DE be that which is not r the other ; and let DG be a Line - DF , making an EDG = LA ; and ... If the .A be not r 4 D , it must be either or A 4D : But it is not equal , for then the Bafe BC would be EF , but it ...
... two Sides DE , DF , let DE be that which is not r the other ; and let DG be a Line - DF , making an EDG = LA ; and ... If the .A be not r 4 D , it must be either or A 4D : But it is not equal , for then the Bafe BC would be EF , but it ...
Άλλες εκδόσεις - Προβολή όλων
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 - 2018 |
The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ... Benjamin Donne Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
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...
Πληροφορίες βιβλιογραφίας
| Τίτλος | The Geometrician: Containing Essays on Plane Geometry, and Trigonometry: with Their Application to the Solutions of a Variety of Problems ... |
| Συγγραφέας | Benjamin Donne |
| Εκδότης | J. Johnson, 1775 |
| Πρωτότυπο από | το Πανεπιστήμιο του Μίτσιγκαν |
| Ψηφιοποιήθηκε στις | 8 Ιουν. 2007 |
| Μέγεθος | 159 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |