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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 15.
Σελίδα 219
... Prism contained under the two Triangles CFB , DEH , and the three Parallelograms CH , BE , CE ; for they are contained under Planes equal in Num- ber and Magnitude . Therefore the whole Solid AB is bifected by the Plane CDEF ; which was ...
... Prism contained under the two Triangles CFB , DEH , and the three Parallelograms CH , BE , CE ; for they are contained under Planes equal in Num- ber and Magnitude . Therefore the whole Solid AB is bifected by the Plane CDEF ; which was ...
Σελίδα 220
... Prism contained under the two Trian- gles L M N , HBK , and the three Parallelograms BM , NH , BN . Let the common Solid , whofe Bafe is the Parallelogram AB , oppofite to the Paral- lelogram GEHM , be added ; then the whole folid ...
... Prism contained under the two Trian- gles L M N , HBK , and the three Parallelograms BM , NH , BN . Let the common Solid , whofe Bafe is the Parallelogram AB , oppofite to the Paral- lelogram GEHM , be added ; then the whole folid ...
Σελίδα 236
... Prisms of equal Altitude . The Bafe of one of which is the Parallelogram AF , and that of the other , the Triangle GHK , and let the Parallelogram AF be double to the Triangle GHK . I fay the Prism AB CDEF is equal to the Prifm GHKLMN ...
... Prisms of equal Altitude . The Bafe of one of which is the Parallelogram AF , and that of the other , the Triangle GHK , and let the Parallelogram AF be double to the Triangle GHK . I fay the Prism AB CDEF is equal to the Prifm GHKLMN ...
Σελίδα 242
... Prisms ; which two Prisms are greater than the whole Pyra- mid . * For bifect AB , BC , CA , AD , DB , DC , in the Points E , F , G , H , K , L , and join EH , EG , GH , HK , KL , LH , EK , KF , FG . Then becaufe A E is equal to EB ...
... Prisms ; which two Prisms are greater than the whole Pyra- mid . * For bifect AB , BC , CA , AD , DB , DC , in the Points E , F , G , H , K , L , and join EH , EG , GH , HK , KL , LH , EK , KF , FG . Then becaufe A E is equal to EB ...
Σελίδα 243
... Prisms of equal Altitude , one of which has that Parallelogram for a Bafe , and the other the Triangle , and the ... Prism contained under the two Trian- gles GFC , HK L , and the three Parallelograms KF CL , LCGH , HKFG . And it is ...
... Prisms of equal Altitude , one of which has that Parallelogram for a Bafe , and the other the Triangle , and the ... Prism contained under the two Trian- gles GFC , HK L , and the three Parallelograms KF CL , LCGH , HKFG . And it is ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 63 - DBA ; and because AE, a side of the triangle DAE, is produced to B, the angle DEB is greater (16.
Σελίδα 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...
Σελίδα 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.
Σελίδα 17 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.