The Geometrician: Containing Essays on Plane Geometry, and Trigonometry: with Their Application to the Solutions of a Variety of Problems ...J. Johnson, 1775 - 159 páginas |
Dentro del libro
Resultados 1-5 de 20
Página xii
... - " feffeth himself often to have been at a Stand ; often to have loft himself ; often to have hit on In his Preface to his Tranflation of Ramus's Geometry , printed in the Year 1636 . $ on a Rock , when he thought he had xii PREFACE .
... - " feffeth himself often to have been at a Stand ; often to have loft himself ; often to have hit on In his Preface to his Tranflation of Ramus's Geometry , printed in the Year 1636 . $ on a Rock , when he thought he had xii PREFACE .
Página 12
... standing on another Line DC , making with it Angles , ABD , ABC , thofe Angles taken together are equal to two Right Angles . a b For , let EB be a L to DC , then the s , EBD , 4. EBC , are Right Angles . But ABD = " △ EBD + 2EBA ; and ...
... standing on another Line DC , making with it Angles , ABD , ABC , thofe Angles taken together are equal to two Right Angles . a b For , let EB be a L to DC , then the s , EBD , 4. EBC , are Right Angles . But ABD = " △ EBD + 2EBA ; and ...
Página 41
... standing upon equal Chords BC , EF , are equal to each other . And if the Angles at the Cir- cumferences are equal , the Chords on which they ftand will be equal alfo . Let D and H be the Centers , and let Lines be drawn as in the ...
... standing upon equal Chords BC , EF , are equal to each other . And if the Angles at the Cir- cumferences are equal , the Chords on which they ftand will be equal alfo . Let D and H be the Centers , and let Lines be drawn as in the ...
Página 53
... stands 181 . on the fame Base DE : But it is manifest that equal As muft have equal Areas , and as the Area of a A is its Bafe into its Altitude , and they have the fame Base , they must consequently have the fame Altitude , otherwise ...
... stands 181 . on the fame Base DE : But it is manifest that equal As muft have equal Areas , and as the Area of a A is its Bafe into its Altitude , and they have the fame Base , they must consequently have the fame Altitude , otherwise ...
Página 64
... stand . Thus , let G and H be the Centers of the two Circles ; then we affirm , that , as the Circumference BC : the Circumference EF , :: the BGC : 4 EHF and :: 2 BAC △ EDF . For if we take any Number of , Circumferences , CK , KL ...
... stand . Thus , let G and H be the Centers of the two Circles ; then we affirm , that , as the Circumference BC : the Circumference EF , :: the BGC : 4 EHF and :: 2 BAC △ EDF . For if we take any Number of , Circumferences , CK , KL ...
Otras ediciones - Ver todas
The Geometrician: Containing Essays On Plane Geometry, and Trigonometry ... Benjamin Donne Sin vista previa disponible - 2023 |
The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ... Benjamin Donne Sin vista previa disponible - 2018 |
The Geometrician: Containing Essays On Plane Geometry, and Trigonometry ... Benjamin Donne Sin vista previa disponible - 2023 |
Términos y frases comunes
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
Pasajes populares
Página 29 - The lines do not run in a uniform direction from the left to the right, or from the right to the left...
Página 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...
Página 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...
Página 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.
Página 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...
Página 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...
Página 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.
Página 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
Página 18 - If two triangles have two sides of the one equal to two sides of the...
Página 106 - KBCL which is contiguous to it, this boundary BC is called a line, and has no breadth : For if it have any, this...