Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms ; Likewise Another of the Elements of Plain and Spherical Trigonometry : with a Preface ...T. Woodward, 1723 - 364 páginas |
Dentro del libro
Resultados 1-5 de 32
Página 117
... fourth , when the Equimultiples of the first and third , compared with the Equimultiples of the fecond and fourth , ac- cording to any Multiplication whatsoever , are either both together greater ,, equal , or lefs , than the Equi I 3 ...
... fourth , when the Equimultiples of the first and third , compared with the Equimultiples of the fecond and fourth , ac- cording to any Multiplication whatsoever , are either both together greater ,, equal , or lefs , than the Equi I 3 ...
Página 118
... fourth . And if the Multiple of the first be greater than the Multiple of the fecond , and alfo the Multiple of the third greater than the Multiple of the fourth : Or , if the Multiple of the first be equal to the Multiple of the fecond ...
... fourth . And if the Multiple of the first be greater than the Multiple of the fecond , and alfo the Multiple of the third greater than the Multiple of the fourth : Or , if the Multiple of the first be equal to the Multiple of the fecond ...
Página 119
... fourth . For Example : Let A be equal to B. Then C fhall be equal to 5 D. Take any Number . For Example , 2 , by which let 5 be multiplied , and the Product will be 10 : And let 2A , 2 C , be E- A : B :: C : D quimultiples of the first ...
... fourth . For Example : Let A be equal to B. Then C fhall be equal to 5 D. Take any Number . For Example , 2 , by which let 5 be multiplied , and the Product will be 10 : And let 2A , 2 C , be E- A : B :: C : D quimultiples of the first ...
Página 120
... Fourth ; then the First to the Second is faid to have a greater Proportion than the Third to the Fourth , VIII . Analogy is a Similitude of Proportions , IX . Analogy at least confifts of three Terms . X. When three Magnitudes are ...
... Fourth ; then the First to the Second is faid to have a greater Proportion than the Third to the Fourth , VIII . Analogy is a Similitude of Proportions , IX . Analogy at least confifts of three Terms . X. When three Magnitudes are ...
Página 123
... Fourth ; and if the Fifth be the fame Multiple of the Second , as the Sixth is of the Fourth ; then hall the First , added to the Fifth , be the fame Multiple of the Second , as the Third , added to the Sixth , is of the Fourth . A D E ...
... Fourth ; and if the Fifth be the fame Multiple of the Second , as the Sixth is of the Fourth ; then hall the First , added to the Fifth , be the fame Multiple of the Second , as the Third , added to the Sixth , is of the Fourth . A D E ...
Términos y frases comunes
alfo equal alſo Angle ABC Angle BAC Baſe becauſe bifected Center Circle ABCD Circle EFGH Circumference Cofine Cone confequently contain'd Coroll Cylinder defcrib'd defcribed demonftrated Diameter Diſtance drawn thro equal Angles equiangular equilateral Equimultiples faid fame Altitude fame Multiple fame Plane fame Proportion fame Reafon fecond fhall be equal fimilar fince firft firſt folid Parallelepipedon fome fore ftand fubtending given Right Line Gnomon greater join leffer lefs likewife Logarithm Magnitudes Meaſure Number paffing thro Parallelogram perpendicular Polygon Prifm Priſms Prop PROPOSITION Pyramid Quadrant Ratio Rectangle remaining Angle Right Angles Right Line A B Right Line AB Right-lin'd Figure Right-lin❜d Segment ſhall Sine Solid Sphere Subtangent thefe THEOREM theſe thofe Triangle ABC triplicate Proportion Unity Vertex the Point Wherefore whofe Bafe whole
Pasajes populares
Página 190 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 160 - 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 63 - DBA ; and because AE, a side of the triangle DAE, is produced to B, the angle DEB is greater (16.
Página 152 - ... therefore the angle DFG is equal to the angle DFE, and the angle at G to the angle at E : but the angle DFG is equal to the angle ACB...
Página 100 - About a given circle to describe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle; it is required to describe a triangle about the circle ABC equiangular to the triangle DEF.
Página 17 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Página 210 - CD; therefore AC is a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BF, AE, is a parallelogram...
Página 229 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Página 164 - ABG ; (vi. 1.) therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has to EF. Therefore similar triangles, &c.
Página 93 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.