Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

1. AISO, is cirhex Les oF an ABBle B AD, 25) For every Priangle chac can be dravn on Me
2. suppose che LeB AD, or ans part oF chat L CB
3. AB, De conceired co morealons the aher A L,
4. rich a Mocion Parallel ro irs Airst Siruarion, ic
5. vill allo deleribe a Ouadrilareral Figure, wtrieh
6. ifthe Deserient Line AB, be equal tort M
7. Will be an Fquilaceral OlC. But Whenle Or
8. genr is cicher longer et oter ans ne Deleri-
9. Base F B, or on a Basc equal eo ic, ane navine
10. the Came Fleishe, or beins bermech elle lame
11. Parallet Lines, Will be equal eo che Llatele
12. AEB, erhich is haltche Paral2 Ped
13. orlys will bc equa.
14. deduccd.
15. sent A F, (Cor l0 chose ene Lines may De called)
16. 2. 11 0 30
17. From WieH Lormation of Guadrangles, (anc
18. allo of Priansles) chele Corollarios maz bc
19. OROLLAEY V.
20. ETence all Paralleloerams chat are berween etie
21. Care Parallel Lines, and on one and he lame
22. or equal Bales, must be equal
23. beneLine, ihen che opposice Sides ol heFisure
24. LR. X
25. Thac all Ouadrilareral Figures etius Formed
26. Musc allo De Parallelograms or have nen este
27. sice Sides ceual and Parallel. The ReaIOn L
28. ivtrich is, belause che Movine Line, O DC.
29. Ccribene AI, is alivars supposeu 10 de Carriea
30. Parallel 10 i selF; and ihie Dilcatue between
31. A 2t. A D, et A and B e DLIEHE POIES, at
32. alirazs cC latt. 53e1.
33. Ca) LuC Ta AF, DF, CB
34. the ocher mult bc l0 allo; arid chen al che An
35. eles oF che Fisure. Will be Rixhe ones, and (0
36. cvill be a Rectansle as AF; and it the Deleri
37. bent be equal ro che Dirigene, che Figure wil
38. De a Square, a5 A6. COr. 29, c Y. F.ucl.
39. FTence also ris plain, That che OppOsite An
40. eles ot ererr Parallelorram are equal; because
41. ches do cach ot chem, wich che Anple betWeet
42. chem, matie rvo Riphc Aneles.
43. Mar ene lante Bale DF, or us equal Ct
44. must be equal to onc anocher
45. FOF MhC Parallelograms A F, and C B, have
46. borh che Describenc and Dirisene Lines equal.
47. And alsO, AP, and D P, have the lame DC.
48. Scribene Lines DP; and che Line DF, cho in
49. 80 noc in phe same Dirigent Line i0 Form the
50. Parallelooram D F, rec ic poes in che whole, bu
51. the Came Pespendicular Alcicude, and only moves
52. Porer For foins Obliquelr, buc all the Indirisi
53. ble or Componene Lines in ore, must be equat
54. comhose in ihC OctieF.
55. COROLLRRE VI
56. Hence also Collows, Thac Friangles on he
57. lame, or equal Bases, must be equal il chey are
58. becween che lame Parallels; because chey arethe
59. Elalres ot egual Paralteloprams.
60. COROLLARE VI
61. Alto Hom He B Casily proved That che
62. chree Aneles a, b, c, ot any Triangle, are equa
63. corvo Rixhr Aneles. (Sec Fis. 1.)
64. FOF Since cC AC a 1, 0 = 2 L: (be
65. cause A D is Parallel 1O LB.)
66. and chat b = 0, Tor che Came R eaTOn.
67. Theretore b F 0Y a = 2 L. 8 F. V
68. COROLL. ARY 11.
69. Since the Angles A and P are toseche
70. torvo Righe Angles, il one be a Riotic Angle,
71. DADLLARY Hb
72. Wrhence it appears, Thac ererys Diaxonat AB
73. 34. e. L L.Uet.
74. Divides rhe Parallelogram inro rvo equat ParES,
75. GOROLLARY N
76. AS alo, THaE eVerY Parallelosram must be
77. Boublero a Phiansle, havins ehie salle, Ol an
78. equal Bale and HlelBalo Al e a Ln.

Cite

Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0603?run=74