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 ... |
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And as he found there was wanting a Treatise of these parts of the Elements , as they were written by Euclid himfelf ; he publish'd his Edition without omitting any of Euclid's Demonstrations , except two ; one of which was a second ...
And as he found there was wanting a Treatise of these parts of the Elements , as they were written by Euclid himfelf ; he publish'd his Edition without omitting any of Euclid's Demonstrations , except two ; one of which was a second ...
Página 62
And so there is a Square made equal to the given Rightlin'd Figure A , viz . the Square of EH ; which was to be done . The End of the SECOND BOOK . EUCLI D's Prop , 2 Prop . 3 K H A D 62 Euclid's ELEMENTS . Book II .
And so there is a Square made equal to the given Rightlin'd Figure A , viz . the Square of EH ; which was to be done . The End of the SECOND BOOK . EUCLI D's Prop , 2 Prop . 3 K H A D 62 Euclid's ELEMENTS . Book II .
Página 105
Secondly , let DF , EF , meet each other in the Point F , in the Side BC , as in the second Figure , and join AF . Then we prove , as before , that the Point F is the Center of a Circle describ'd about the Triangle ABC .
Secondly , let DF , EF , meet each other in the Point F , in the Side BC , as in the second Figure , and join AF . Then we prove , as before , that the Point F is the Center of a Circle describ'd about the Triangle ABC .
Página 117
Magnitudes are said to have Proportion to each other , which being multiplied can exceed one another , V. Magnitudes are said to be in the same Ratio , the first to the second , and the third to the fourth , when the Equimultiples of ...
Magnitudes are said to have Proportion to each other , which being multiplied can exceed one another , V. Magnitudes are said to be in the same Ratio , the first to the second , and the third to the fourth , when the Equimultiples of ...
Página 118
multiples of the second and fourth , if those be taken that answer each other . That is , if there be four Magnitudes , and you take any Equimultiples of the first and third , and also any Equimultiples of the second and fourth .
multiples of the second and fourth , if those be taken that answer each other . That is , if there be four Magnitudes , and you take any Equimultiples of the first and third , and also any Equimultiples of the second and fourth .
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Términos y frases comunes
added alſo Altitude Angle ABC Angle BAC Baſe becauſe Center Circle Circle ABCD Circumference common Cone conſequently contained Cylinder demonſtrated deſcribed Diameter Difference Diſtance divided double draw drawn equal Angles equiangular Equimultiples exceeds fall fame Figure firſt fore four fourth given greater half join leſs likewiſe Logarithm Magnitudes Manner Multiple Number oppoſite parallel Parallelogram perpendicular Place Plane Point Polygon Priſm produced Prop Proportion PROPOSITION proved Pyramid Ratio Reaſon Rectangle remaining Right Angles Right Line Right-lin'd ſaid ſame ſay ſecond Segment ſhall be equal Sides ſimilar ſince Sine Solid Sphere Square ſtand taken Term THEORE thereof theſe third thoſe thro touch Triangle Triangle ABC Unity Wherefore whole whoſe Baſe
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 231 - 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.
Información bibliográfica
| Título | 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 ... |
| Autores | Euclid, John Keill |
| Editor | Mr. Cunn (Samuel) |
| Editor | Tho. Woodward, 1723 |
| Procedencia del original | Universidad de Michigan |
| Digitalizado | 8 Jun. 2007 |
| Largo | 364 páginas |
| Exportar cita | BiBTeX EndNote RefMan |